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and the quest for gravitational waves

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1 and the quest for gravitational waves
A.Viceré – INFN Firenze/Urbino for the Virgo Collaboration

2 Plan of the talk Few words about gravitational waves
Working principles of GW detectors The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 2/63

3 Ripples in the Cosmic Sea
Linearized Einstein eqs. (far from big masses) admit wave solutions (perturbations to the background geometry) GW: transverse space-time distortions propagating at the speed of light, 2 independent polarization Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 3/63

4 Coupling constants Ideal information carrier,
strong e.m. weak gravity 0.1 1/137 10-5 10-39 GW emission: very energetic events but almost no interaction In SN collapse n withstand 103 interactions before leaving the star, the gravitational waves instead leave the core undisturbed Very early GW decoupling after Big Bang GW ~ s (T ~ 1019 GeV) n ~ s (T ~ 1 MeV) γ ~ s (T ~ eV) Ideal information carrier, Universe transparent to GW all the way back to the Big Bang!! Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 4/63

5 Nobel Prize 1993: Hulse and Taylor
PSR : GW do exist Pulsar bound to a “dark companion”, 7 kpc from Earth. Relativistic clock: vmax/c ~10-3 GR predicts such a system to loose energy via GW emission: orbital period decrease Radiative prediction of general relativity verified at 0.2% level Nobel Prize 1993: Hulse and Taylor P (s) (9) dP/dt -2.425(10)·10-12 dw/dt (º/yr) (18) Mp 1.442 ± M Mc 1.386 ± M Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 5/63

6 Plausible target GW amplitude
Luminosity: Amplitude: Compactness C 1 for BH 0.3 for NS 10-4 for WD Efficient sources of GW must be asymmetric, compact and fast GW detectors sensitivity expressed in amplitude h : 1/r attenuation Example target amplitude: coalescing NS/NS in the Virgo cluster (r ~10 Mpc) h ~ 10-21 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 6/63

7 Synopsis of sources LONG DURATION SHORT DURATION MATCHED FILTERING
Rotating NS Coalescing compact binaries TEMPLATE-LESS METHODS Stochastic GW Supernovae Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 7/63

8 Few words about gravitational waves Working principles of GW detectors
The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 8/63

9 Principle of Detection
GW induce space-time deformation Measure space-time strain using light Interference fringes Target h ~ 10-21 Cluster) Feasible L ~ 103 m Credit: M.Lorenzini Need to measure: DL ~ m Big challenge for experimentalists! Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze 9/63

10 How much is 10-18 m? log10 r Virgo sensitivity Size of the Universe
Virgo cluster Galactic center 1 Light-year Target GW wavelengths Neutron star radius Wavelength of YAG laser Size of an atom Proton radius Virgo sensitivity log10 r Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

11 A real detector scheme Virgo optical scheme Input Mode Cleaner
Output Mode Cleaner 3 km long Fabry-Perot cavities: to lengthen the optical path to 100 km Input Mode Cleaner Laser 20 W Power recycling mirror: to increase the light power to 1 kW Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

12 Laser Master laser, 1W F.I. F.I. E.O. F.I. Main Beam Path
Slave laser, 22W Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

13 Super mirrors Fused silica mirrors 35 cm diam, 10 cm thick, 21 kg
Scattering losses: a few ppm Substrate losses: ppm Coating losses: <5 ppm Surface deformation: l/100 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

14 VIBRATION ISOLATION Thermal noise Superattenuator: filters off the seismic vibrations. Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

15 Vacuum enclosure 7000 m3 Requirements 10-9 mbar for total pressure
10-14 mbar for hydrocarbons Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

16 Plan of the talk Few words about gravitational waves
Working principles of GW detectors The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

17 The GW detectors network
A network of 4 (5) GW detectors LIGO – Hanford, WA GEO600, Hannover, D LIGO – Livingston, LA VIRGO, Pisa, Italy Virgo and the LIGO Scientific Collaboration have signed a MoA for full data exchange and joint data analysis and publication policy Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

18 Virgo: 3km arms LAPP – Annecy OCA - Nice NIKHEF – Amsterdam
GPG - Birmingham RMKI - Budapest INFN – Firenze-Urbino INFN – Frascati INFN – Genoa LMA – Lyon INFN – Napoli OCA - Nice LAL – Orsay APC – Paris INFN – Padova-Trento INFN – Perugia INFN – Pisa INFN – Roma 1 INFN – Roma 2 POLGRAV – Warsav Virgo: 3km arms Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

19 Design sensitivity curves
10 -24 -23 -22 -21 -20 -19 -18 1 100 1000 4 h (Hz-1/2)‏ Virgo LIGO Resonant antennas Hz GEO Core Collapse @ 10 Mpc BH-BH Merger Oscillations @ 100 Mpc Pulsars hmax – 1 yr integration BH-BH Inspiral, z = 0.4 BH-BH Inspiral, 100 Mpc QNM from BH Collisions, Msun, z=1 NS, =10 -6 , 10 kpc Msun, 150 Mpc NS-NS Inspiral, 300 Mpc NS-NS Merger 1st generation detectors Credit: P.Rapagnani Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

20 Detector technology demonstrated ! LIGO Scientific Collaboration
Commissioning started in 1999. Design sensitivity achieved end 2005 Detector technology demonstrated ! S1 - Aug 23, 2002 – Sep 9, 2002 S2 - Feb 14, 2003 – Apr 14, 2003 S3 - Oct 31, 2003 – Jan 9, 2004 S4 - Feb 22, 2005 – March 23, 2005 S5 - November 2005 – Fall year of 3 det. coincident data LIGO Scientific Collaboration Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

21 Virgo sensitivity evolution
Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

22 FIRST SCIENCE RUN (VSR1)
From May 18 to Oct Joined LIGO S5 The detector demonstrated excellent stability Sensitivity improved during the run, exploiting short interruptions BNS Inspiral Range (Mpc) Duty cycle: 84% Longest lock: 94 hours Avg. Lock Duration: hrs Lock Recovering Time: ~30 min Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

23 Recent progress Reaching the design sensitivity and being limited by fundamental noises is all but simple One has to fight with many little technical noises, often unpredicted and unmodelled Most relevant: scattered light triggered by environmental noise, eddy currents, magnetic couplings, thermal transients Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

24 VIRGO vs LIGOs & GEO600 Same HF sensitivity
LIGO slightly better in the mid range Virgo much better at LF GEO600 not competitive A factor 2-3 still missing at low frequency. WHY? The big step forward in the last decade has been the demonstration of the interferometers technology. The design sensitivity has been (almost) reached and stability is so good (unexpectedly) that an efficient network could be created. Virgo, now, has opened the road to very low frequency region. Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

25 Few words about gravitational waves Working principles of GW detectors
The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

26 368 days of triple-coincident LIGO data
Science Runs So Far 368 days of triple-coincident LIGO data 2002 2003 2004 2005 2006 2007 LIGO: S1 S2 S3 S4 S5 GEO: Since end of S5 / VSR1 : ► Upgrading LIGO 4-km interferometers and Virgo ► GEO and LIGO 2-km interferometer taking data whenever possible for “AstroWatch” vigil Virgo: VSR1 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

27 Unmodeled burst searches
Supernova collapse: dynamics and waveform badly predictable Estimated rate: several /yr in the VIRGO cluster, but the efficiency of GW emission is strongly model dependent Simulations suggest EGW~10-6 Mʘc2, but NS kick velocities suggest possible strong asymmetries GW emitted secs hrs Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63 [Zwerger, Muller]

28 All-Sky Burst Searches
The most-recent published results use S4 data LIGO-only search[ Classical and Quantum Gravity 24, 5343 (2007) ] ► Searched days of triple-coincidence data (H1+H2+L1) for short (<1 sec) signals with frequency content in range Hz ► No event candidates observed ► Upper limit on rate of detectable events: per day (at 90% C.L.) ► Sensitive to GW energy emission as small as ~10-7 M at 10 kpc, or ~0.25 M at the distance of the Virgo Cluster LIGO-GEO joint search [ CQG 25, (2008) ] First use of fully-coherent network analysis for burst signals S5 / VSR1 all-sky search is currently under internal review Factor of ~2 better amplitude sensitivity, and much longer observation time Doing coherent network analysis using LIGO and Virgo data Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

29 Gravitational Waves from Soft Gamma Repeaters
SGRs are believed to be magnetars Occasional flares of soft gamma rays May be associated with cracking of the crust that excites vibrational f-modes of the neutron star LIGO searched for GW signals associated with SGR flares Dec “giant” flare of SGR 1806–20 190 flares from SGR 1806–20 and SGR during first year of S5 Placed upper limits on GW signal energy for each flare [ PRL 101, (2008) ] Within the energy range predicted by some models LIGO also searched for GW signals matching the quasiperiodic oscillations seen in X-rays in the tail of the Dec giant flare Placed upper limits [ PRD 76, (2007) ] Smallest gamma: 30 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

30 Coalescing binaries chirp
[Campanelli et al., PRL, 2006] Coalescing binaries chirp Pairs of compact stars, like PSR , but close to the final “coalescence” PBH: Primordial Black Holes (in the galactic halo): M in [0.2, 0.9] BNS: Binary neutron stars: M in [0.9, 3.0] BBH: Binary black holes: M in [3, 20] Inspiral signal accurately predictable Newtonian dynamics Post-Newtonian corrections (3PN, (v/c)11/2) [L.Blanchet et al., 1996] Recent big progress in merger 3D simulation [Baker et al 2006, Praetorious 2006] Crucial to extract physics, mostly encoded in the merger phase Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

31 Binary Inspiral Searches
New result from first year of S5 data No inspiral signals detected Using population models, calculated 90% confidence limits on coalescence rates: For binary neutron stars: ×10–2 per year per L10 For 5+5 M binary black holes: ×10–3 For BH-NS systems: ×10–2 (Slightly tighter limits if BHs are assumed to have no spin) 100 Mpc Milky way is 1.7 L10 Rates could plausibly be as high as 5e-4 for BNS, 6e-5 for BBH or BHNS i.e. about two orders of magnitude away from plausible rates Also, S4 ringdown search paper in preparation [ Preprint arXiv: ] Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

32 GRB 070201 Short, hard gamma-ray burst
Leading model for short GRBs: binary merger involving a neutron star Position (IPN) consistent with being in M31 LIGO Hanford detectors were operating Searched for inspiral & burst signals Result from LIGO data analysis: No plausible GW signal found; therefore very unlikely to be from a binary merger in M31 [ ApJ 681, 1419 (2008) ] Hundreds of GRB occurred during the live time of LIGO and Virgo detectors: still under analysis Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

33 Spinning Neutron Stars
Non-axisymmetric rotating NS emit periodic GW at f=2fspin but…weak SNR can be increased by integrating the signal for long time (months)‏ 109 NS in the galaxy, 163 known in LIGO/Virgo band Doppler correction of Earth motion needed (f/f  10-4): blind search limited by computing power Data from ATNF Pulsar Catalogue ( Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

34 Searches for Periodic Signals from Known Radio/X-ray Pulsars
Demodulate data, correcting for motion of detector Doppler frequency shift, amplitude modulation from antenna pattern For a triaxial star, expect GW signal at twice the spin frequency S5 preliminary results (using first 13 months of data): Place limits on strain h0 and equatorial ellipticity e ► e limits as low as ~10–7 It’s plausible that an ordinary neutron star could sustain an ellipticity as large as ~10–6 ; Some models allow larger Crab Plot from Greg Mendell’s talk at Amaldi in July 2007 Lowest epsilon limit presented by Matt in April 2007 APS meeting; note that there was a correction after that, but in both cases the value was less than 1e-7. Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

35 Searches for a Stochastic Background of Gravitational Waves
Weak, random gravitational waves should be bathing the Earth Left over from the early universe, analogous to CMBR ; or due to overlapping signals from many astrophysical objects / events Results from LIGO S5 data analysis Searched for isotropic stochastic signal with power-law spectrum For flat spectrum, set upper limit on energy density in gravitational waves: Preliminary result from ~half of S5 data: 0 < 1.3 × 10–5 Starts to constrain cosmic (super)string and “pre-Big-Bang” models Final S5 result to be released soon, with factor of ~2 better sensitivity – will dip below Big Bang Nucleosynthesis bound Or look for anisotropic signal: [ PRD 76, (2007) ] (S4 data) BBN bound is 1.1e-5 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

36 A broader look at the stochastic background
Credit: B.Sathyaprakash LIGO S1, 2 wk data h1002 < 23 PRD (2004) LIGO S3, 2 wk data h1002 < 8 x 10-4 PRL (2005)‏ Laser Interferometer Space Antenna - LISA -2 CMB Pulsar Nucleosynthesis (0h1002 )‏ -4 Cosmic strings Initial LIGO, 1 yr data Expected h1002 < 2x10-6 -6 Log -8 Advanced IFOs, 1 yr data Expected h1002 < 7x10-10 Pre-big bang model -10 EW or SUSY Phase transition Inflation -12 -14 Slow-roll Cyclic model -18 -16 -14 -12 -10 -8 -6 -4 -2 2 4 6 8 10 Log ( f [Hz])‏ Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

37 Few words about gravitational waves Working principles of GW detectors
The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

38 1st generation detection chances
1ST GENERATION INTERFEROMETERS CAN DETECT A NS-NS COALESCENCE AS FAR AS VIRGO CLUSTER (15 MPc) LOW EXPECTED EVENT RATE: ev/yr (NS-NS) FIRST DETECTION: POSSIBLE BUT UNLIKELY Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

39 First step to improve: Virgo+
Important technology progress achieved in the last years. It is possible to upgrade Virgo now, enhancing the sensitivity by 2-3 (and the rate by one order of magnitude) The Virgo+ package: more laser power (20  50 W) compensation of mirror thermal lensing better electronics change of input mode cleaner mirror monolithic suspensions LIGO also undergoing similar upgrades, towards Enhanced LIGO Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

40 2nd generation detectors
Virgo and LIGO have achieved the design sensitivity. Data still under analysis, but the expected event rate is low ( ev/yr) To increase the chance of first detection and to open the way to GW astronomy we want to enhance the amplitude sensitivity by x10 (hence the detection rate by x1000!) Advanced LIGO (USA): funded by NSF. In construction Advanced Virgo: Conceptual Design e Preliminary Project Execution Plan submitted to funding agencies (INFN and CNRS). Facing a project review process to get approved. 108 ly Enhanced LIGO/Virgo+ 2009 Virgo/LIGO Credit: R.Powell, B.Berger Adv. Virgo/Adv. LIGO 2014 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

41 Advanced LIGO Projected Sensitivity
Factor of ~10 in amplitude sensitivity Factor of ~1000 in volume 10–21 –22 10–23 10–24 10 100 1000 Hz Advanced LIGO is approved and funded; construction has begun Expect to be operational starting in 2014 or 2015 Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

42 Adv design features better vacuum environmental noise reduction
tilt control heavier mirrors low dissipation coating larger spot high finesse cavity compensation of thermal lensing moreover… better vacuum environmental noise reduction low noise electronics signal recycling fused silica suspension fibers DC detection high power laser (200 W) Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

43 Binary NS sight distance in AdV
AdV: ~150 Mpc Advanced LIGO: ~170 Mpc each detector

44 Virgo upgrade plans Advanced Virgo Virgo+ Advanced Virgo Science Run 1
08 10 12 14 16 18 100 101 102 103 yr Mpc BNS inpiral range – expected progress Advanced Virgo Advanced Virgo Science Run 1 Advanced Virgo commissioning 08 09 10 11 12 13 14 15 16 Advanced Virgo installation Virgo Science Run 3 Virgo+ Installation of monolithic suspensions (?) Virgo Science Run 2 Virgo+ commissioning Virgo+ installation Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

45 Benefits by the LIGO-Virgo network
False alarm rejection thanks to coincidence Triangulation allowing to pinpoint the source A network allows to deconvolve detector response and regress signal waveform --> measure signal parameters, including source distance for BNS signals Joint operation yields a longer observation time, and a better sky coverage Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63 45

46 BNS events: will we ever see them?
Empirical models Use observed (4) galactic binary systems coalescing on timescales comparable to Universe age Infer # of events/Milky Way Equivalent Galaxy Assume galactic density 0.01 Mpc-3 Population synthesis models Use galactic luminosity to deduce star formation rate Alternatively, use supernova events to calibrate the number of massive stars Model binary formation and evolution to deduce # of systems coalescing in less than Hubble time

47 BNS: AdV predictions Empirical model rather uncertain
Small number of systems observed, little statistic Population synthesis still unconclusive Strong dependence on models AdV alone sees from O(1) to O(10) events/year AdV to operate together with Advanced LIGO! Combined sight distance may exceed 300 Mpc Network will see from O(10) to O(100) events/year

48 BBH sight distance AdV: ~ 700 Mpc

49 BBH: pop. synth. predictions
Notes Sight distance is effective: takes into account the distribution of masses in the population synthesis Only masses < 10 M are simulated BBH population synthesis very uncertain Merger rates vary by factors of hundreds If model A is true, prospects of detection are dim! However ...

50 BBH: empirical prediction
IC10 X-1 Binary system in local group (~ 700 kpc)‏ Includes a BH, m~24 Mo, and a massive Wolf-Rayet star, m~ 35 Mo Allows to predict a rate (Bulik et al.)‏ The WR will evolve in BH, without disrupting the binary system The resulting system should have Mchirp~14Mo Such systems are detectable by AdV up to 1.1 Gpc ... Rate for AdV should be ~ 250 /year Rate for combined Advanced LIGO – AdV ~ 2500/year

51 Known pulsars: AdV limits on h
Dots: spin down limits. Beaten by AdV for about 40 known objects

52 Stochastic background limits with AdV
H1 - L1 H1 - V1 One year of operation of AdV – AdLIGO Will improve over nucleosynthesis bounds by several orders For comparison, LIGO S5 results should be just below BBN limit AdV contribution depends on the exponent n of the stochastic background model, and is more relevant for larger n

53 Astrophysical backgrounds
A network can locate point sources of random GW signals Such could be objects of astrophysical interests, for instance very large black holes in active galaxies LIGO – Virgo network, with multiple baselines, improves sensitivity by 25% at equator and by 42% at poles, over LIGO only Source localization is improved by a factor O(10)‏

54 Advanced Detectors will see GWs
The technology of interferometric detectors has been demonstrated A further step in sensitivity appears necessary to open the way to physics and astronomy. Some sources appear certain, unless astrophysical assumptions are wrong To make science, a multimessenger approach will be mandatory Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

55 Few words about gravitational waves Working principles of GW detectors
The large interferometers in the world, and Virgo A personal choice of science results LSC-Virgo joint observation perspectives Towards GW astronomy: multimessenger opportunities Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

56 Targeting SNe; low energy 's ...
Boost detection confidence Neutrino and GW expected within a few ms delay Very tight coincidence can be required Constrain  mass strongly 1ms accuracy: m < 1eV constrain

57 High energy 's KM3Net and IceCube will see  with E up to 100's GeV
Coverage of Southern and Northern sky Reconstruction capabilities in the 1° range Common targets: GRB's, SGR giant flares, etc...

58 Targeting GRB events Swift now, Fermi (GLAST) keep looking at  rays from GRB GRB powered by accretion disks on newly formed objects Neutrino and GW expected within a few ms delay Short GRB (< 2s) potentially related to BNS, BH-NS Long GRB (>2s, average 30s) related to (classes of) SNe Again, boost detection confidence Provide insight in the fireball mechanism

59 Other messengers ... Radiotelescopes
Crucial, f.i. to “lock” on pulsar signals (Automated) Optical telescopes To alert GW detectors of interesting events To follow up triple coincidences observed in GW detectors X-ray telescopes Privileged eyes on the hot material falling into compact objects For instance, in LMXB Another eye at GRB events ..

60 Beyond the 2° generation?
Where and how can we reduce the detector noise? Thermal Seismic Shot Underground detectors New materials Cryogenic interferometers High power laser Better optics New optical configuration QND techniques Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

61 ET, THE “ULTIMATE” DETECTOR
Underground facility to minimize seismic noise Mirrors held at cryogenic temperature Longer arms, new geometry E.T. - Einstein gravitational-wave Telescope Design Study Proposal funded by EU within FP7 Large part of the European GW community involved (EGO, INFN, MPI, CNRS, NIKHEF, Univ. Birmingham, Cardiff, Glasgow) Credit: H.Lück Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

62 frequency f / binary black hole mass whose freq at merger=f
Credit: B.Sathyaprakash h (1/√Hz)‏ 10-22 10-23 10-24 10-25 Current detectors LISA 2008 2015 Adv detectors 2013 3rd generation 2020 0.1m m Hz k frequency f / binary black hole mass whose freq at merger=f 4x x x103 M Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63

63 Conclusions? I recall lessons at a summer school in theoretical physics in Parma in 1997: detectors still mostly on paper. General skepticism This seminar in 2009: 1° generation detectors demonstrated! LIGO and Virgo upgrading towards 2° generation We hope that 2° generation will allow to start GW ASTRONOMY! To make the most science of it, close cooperation with the astrophysical community will be a must. Bologna – February 19th, A.Viceré – Università di Urbino & INFN Firenze /63


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