Scalar perturbations in braneworld cosmology Takashi Hiramatsu Research Center for the Early Universe (RESCEU), School of Science, University of Tokyo.

Slides:

Advertisements

Similar presentations

Large Primordial Non- Gaussianity from early Universe Kazuya Koyama University of Portsmouth.

Advertisements

Exact brane cosmology in 6D warped flux compactifications 小林努 ( 早大理工 ) with 南辻真人 (Arnold Sommerfeld Center for Theoretical Physics) Based on arXiv: [hep-th]

Non-Gaussianity of superhorizon curvature perturbations beyond δN-formalism Resceu, University of Tokyo Yuichi Takamizu Collaborator: Shinji Mukohyama.

Gradient expansion approach to multi-field inflation Dept. of Physics, Waseda University Yuichi Takamizu 29 th JGRG21 Collaborators: S.Mukohyama.

Beyond δN-formalism for a single scalar field Resceu, University of Tokyo Yuichi Takamizu 27th Collaborator: Shinji Mukohyama (IPMU,U.

Beyond delta-N formalism Atsushi Naruko Yukawa Institute Theoretical Physics, Kyoto In collaboration with Yuichi Takamizu (Waseda) and Misao Sasaki (YITP)

P ROBING SIGNATURES OF MODIFIED GRAVITY MODELS OF DARK ENERGY Shinji Tsujikawa (Tokyo University of Science)

Temporal enhancement of super-horizon scale curvature perturbations from decays of two curvatons and its cosmological implications. Teruaki Suyama (Research.

TAUP Sendai Sep Cosmic rays emitted by PBHs in a 5D RS braneworld Yuuiti Sendouda (Yukawa Inst., Kyoto) with S. Nagataki (YITP), K.

Curvature Perturbations from a Non-minimally Coupled Vector Boson Field Mindaugas Karčiauskas work done with Konstantinos Dimopoulos Mindaugas Karčiauskas.

Physical Constraints on Gauss-Bonnet Dark Energy Cosmologies Ishwaree Neupane University of Canterbury, NZ University of Canterbury, NZ DARK 2007, Sydney.

Cosmic Microwave Radiation Anisotropies in brane worlds K. Koyama astro-ph/ K. Koyama PRD (2002) Kazuya Koyama Tokyo University.

The Statistically Anisotropic Curvature Perturbation from Vector Fields Mindaugas Karčiauskas Dimopoulos, MK, JHEP 07 (2008) Dimopoulos, MK, Lyth, Rodriguez,

The Statistically Anisotropic Curvature Perturbation from Vector Fields Mindaugas Karčiauskas Dimopoulos, Karčiauskas, JHEP 07, 119 (2008) Dimopoulos,

Near-Horizon Solution to DGP Perturbations Ignacy Sawicki, Yong-Seon Song, Wayne Hu University of Chicago astro-ph/ astro-ph/

THE UNIVERSE AS A BRANE QG05 Sardegna Roy Maartens Portsmouth.

Non-Gaussianities of Single Field Inflation with Non-minimal Coupling Taotao Qiu Based on paper: arXiv: [Hep-th] (collaborated with.

Based on Phys.Rev.D84:043515,2011,arXiv: &JCAP01(2012)016 Phys.Rev.D84:043515,2011,arXiv: &JCAP01(2012)016.

Antisymmetric metric fluctuations as dark matter By Tomislav Prokopec (Utrecht University) Cosmo 07, Brighton 22 Aug 2007 ˚1˚ Based on publications: T.

Trispectrum Estimator of Primordial Perturbation in Equilateral Type Non-Gaussian Models ＫｅｉｓｕｋｅＩｚｕｍｉ（泉圭介） Collaboration with Shuntaro Mizuno Kazuya.

Construction of gauge-invariant variables for linear-order metric perturbations on general background spacetime Kouji Nakamura (NAOJ) References : K.N.

Cosmological post-Newtonian Approximation compared with Perturbation Theory J. Hwang KNU/KIAS

Effective field theory approach to modified gravity with applications to inflation and dark energy Shinji Tsujikawa Hot Topics in General Relativity And.

２次ゲージ不変摂動論定式化の進行状況 Kouji Nakamura (Grad. Univ. Adv. Stud. (NAOJ)) References : K.N. Prog. Theor. Phys., vol.110 (2003), 723. (gr-qc/ ). K.N. Prog.

Cosmological Post-Newtonian Approximation with Dark Energy J. Hwang and H. Noh

Yoshiharu Tanaka (YITP) Gradient expansion approach to nonlinear superhorizon perturbations Finnish-Japanese Workshop on Particle Helsinki,

Black hole production in preheating Teruaki Suyama (Kyoto University) Takahiro Tanaka (Kyoto University) Bruce Bassett (ICG, University of Portsmouth)

Large distance modification of gravity and dark energy

Modified (dark) gravity Roy Maartens, Portsmouth or Dark Gravity?

曲がる余剰次元と宇宙項 - braneworld cosmology - YITP, Kyoto U Misao Sasaki.

BRANEWORLD COSMOLOGICAL PERTURBATIONS

Conservation of the non-linear curvature perturbation in generic single-field inflation Yukawa Institute for Theoretical Physics Atsushi Naruko In Collaboration.

Thursday, 13 th of September of 2012 Strong scale dependent bispectrum in the Starobinsky model of inflation Frederico Arroja 이화여자대학교 EWHA WOMANS UNIVERSITY.

1 Circular Polarization of Gravitational Waves in String Cosmology MIAMI, 200 ７ Jiro Soda Kyoto University work with Masaki Satoh & Sugumi Kanno.

Quintom Bounce with a Galileon Model Chung-Yuan Christian University, Taiwan & Institute of High Energy Physics, Beijing Based on Collaborated.

Stabilizing moduli with flux in brane gas cosmology Jin Young Kim (Kunsan National Univ.) CosPA 2009, Melbourne Based on arXiv: [hep-th]; PRD 78,

Nobuchika Okada (KEK) Brane World Cosmologies IX Workshop on High Energy Physics Phenomenology 03 January – 14 January, 2006 Institute of Physics, Sachivalaya.

Nonlinear perturbations for cosmological scalar fields Filippo Vernizzi ICTP, Trieste Finnish-Japanese Workshop on Particle Cosmology Helsinki, March 09,

(RESCEU &IPMU ) 横山順一 Inflaton φ slow rollover Reheating V[φ] BEGINNING?? END?? Λ But little is known about the beginning and end of inflation. Slow-roll.

Primordial black hole formation in an axion-like curvaton model Primordial black hole formation in an axion-like curvaton model 北嶋直弥東京大学 / 宇宙線研究所 M. Kawasaki,

Thermodynamics of Apparent Horizon & Dynamics of FRW Spacetime Rong-Gen Cai （蔡荣根） Institute of Theoretical Physics Chinese Academy of Sciences.

Extranatural Inflation Nuno M. C. Santos CFTP - IST Centro de Física Teórica de Partículas Instituto Superior Técnico - Universidade Técnica de Lisboa.

Giuseppe De Risi M. Cavaglià, G.D., M. Gasperini, Phys. Lett. B 610:9-17, hep-th/ QG05, Sept

Brane Gravity and Cosmological Constant Tetsuya Shiromizu Tokyo Institute of Technology Tokyo Institute of Technology 白水 White Water.

Cosmological Perturbations in the brane worlds Kazuya Koyama Tokyo University JSPS PD fellow.

 N formalism for Superhorizon Perturbations and its Nonlinear Extension Misao Sasaki YITP, Kyoto University Based on MS & E.D. Stewart, PTP95(1996)71.

Weak lensing generated by vector perturbations and detectability of cosmic strings Daisuke Yamauchi ICRR, U. Tokyo 2012/9/13 China DY,

Theoretical Aspects of Dark Energy Models Rong-Gen Cai Institute of Theoretical Physics Chinese Academy of Sciences CCAST, July 4, 2005.

Three theoretical issues in physical cosmology I. Nonlinear clustering II. Dark matter III. Dark energy J. Hwang (KNU), H. Noh (KASI)

Cosmological evolution of regularized branes in 6D warped flux compactifications Masato Minamitsuji (ASC, LMU, Munich) With David Langlois (APC, Paris)

Vector modes, vorticity and magnetic fields Kobayashi, RM, Shiromizu, Takahashi: PRD, astro-ph/ Caprini, Crittenden, Hollenstein, RM: PRD, arXiv:

Gravitational Waves from primordial density perturbations Kishore N. Ananda University of Cape Town In collaboration with Chris Clarkson and David Wands.

Inflation in modified gravitational theories Shinji Tsujikawa Tokyo University of Science (TUS) with Antonio De Felice (TUS), Joseph Elliston, Reza Tavakol.

Mass spectrum of PBHs from inflationary perturbation in the RS braneworld Yuuiti Sendouda (University of Tokyo) Brane-world 19 Sep 2006.

IRGAC Cosmological perturbations in stochastic gravity Yuko Urakawa with Kei-ichi Maeda.

Kaluza-Klein Braneworld Cosmology S Kanno, D Langlois, MS & J Soda, PTP118 (2007) 701 [arXiv: ] Misao Sasaki YITP, Kyoto University.

On the Lagrangian theory of cosmological density perturbations Isolo di San Servolo, Venice Aug 30, 2007 V. Strokov Astro Space Center of the P.N. Lebedev.

Teruaki Suyama Black hole perturbation in modified gravity Research Center for the Early Universe, University of Tokyo 公募研究 ( 計画研究 A05) 「強い重力場での修正重力理論の検証に向けた理論的研究」

Cosmology in a brane-induced gravity model with trace-anomaly terms

INDUCED COSMOLOGY ON A CODIMENSION-2 BRANE IN A CONICAL BULK

Recent status of dark energy and beyond

Gravitational theory on D-brane

Notes on non-minimally derivative coupling

The Cosmological Constant Problem & Self-tuning Mechanism

Quantum Spacetime and Cosmic Inflation

Stealth Acceleration and Modified Gravity

Shintaro Nakamura (Tokyo University of Science)

Nonlinear cosmological perturbations

ブレイン宇宙における重力波の伝播石原秀樹大阪市立大学共同研究者田中泉 2019/4/28.

University of Portsmouth

Presentation transcript:

Scalar perturbations in braneworld cosmology Takashi Hiramatsu Research Center for the Early Universe (RESCEU), School of Science, University of Tokyo Collaboration with A.Cardoso, K.Koyama, S.S.Seahra Institute of Cosmology and Gravitation, University of Portsmouth arxiv/ [astro-ph] submitted to JCAP

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Braneworld String theories imply 10/11 D space-time.  a simple description : Randall-Sundrum II model Cosmological perturbations in RSII model –Tensor perturbations During inflation After inflation –Scalar perturbations During inflation brane bulk5D anti de Sitter space-time Hiramatsu, Koyama, Taruya, PLB(2004) Ichiki, Nakamura, PRD(2004) Ichiki, Nakamura, astro-ph(2004) Kobayashi, Tanaka, JCAP(2004) Kobayashi, Tanaka, PRD(2005) Hiramatsu, Koyama, Taruya, PLB(2004) Hiramatsu, PRD(2006) Kobayashi, PRD(2006) Seahra, PRD(2006) Langlois, Maartens, Wands, PLB(2000) Gorbunov, Rubakov, Sibiryakov, JHEP(2001) Kobayashi, Kudoh, Tanaka, PRD(2003) Maartens, Wands, Bassett, Heard, PRD(2000) Calcagni, JCAP(2003) Liddle, Smith, PRD(2003) Tsujikawa, Liddle, JCAP(2004) Calcagni, JCAP(2004) Ramirez, Liddle, PRD(2004) Seery, Taylor, PRD(2005) Liddle, Taylor, PRD(2005) Koyama, Mizuno, Wands, JCAP(2005) Hiramatsu, Koyama, JCAP(2007) Koyama, Mennim, Rubakov, Wands, Hiramatsu, JCAP(2007) After inflation Randall, Sundrum, PRL (1999)

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Scalar perturbations in RS model Observables – : curvature perturbations – : density perturbations  CMB anisotropy, large-scale structure, etc. High-energy corrections caused by extra-dimensions –Friedmann equation  slower expansion law –Interaction with the bulk metric perturbations

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Evolution of primordial fluctuations High-energy effects appear above the critical wave number

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Metric perturbations (bulk) 5D metric perturbations (5D-longitudinal gauge) Master variable No matter in the bulk

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Density perturbations (brane) Perturbation of energy-momentum tensor Gauge-invariant density/velocity perturbation Evolution equation assumption Correction to Firedmann eq. Bulk metric perturbations

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Junction conditions (brane) Perturbed effective Einstein equation

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Growing / Decaying modes High-energy limit Junction condition Evolution equation 3 rd order equation for dominant growing mode : subdominant growing mode : decaying mode :

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Curvature perturbations / consistency relations Two definitions for g.-i. curvature perturbations Consistency relations for the dominant growing mode on superhorizon scales –At high-energies, –In 4D GR, On subhorizon scales,

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Numeric analysis Using two independent codes –Pseudo-spectral method (PS) –Characteristic integration method (CI) Hiramatsu, PRD(2006) Seahra, PRD(2006)

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Initial conditions / critical wave number Initial condition –Only the dominant growing mode survived on the brane, –and bulk metric perturbations become negligible at very early time

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Typical waveforms (high-frequencies) const

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Large scale fluctuations

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Enhancement factor (Comparing with GR) To separate out the two effects, …

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Enhancement factor (Comparing with GR)

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Enhancement factor (Comparing with GR) ~7.1 ~3.0 ~2.4

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Summary / Implications EOMs and junction condition for scalar perturbations in RD epoch in RSII model. Analytic approximations (3 modes). Applied two numerical algorithms to solve EOMs. All consistency relations are satisfied, and GR results are recovered for low-frequency modes. Above critical wave number, amplitude of is enhanced, which leads to

宇宙初期における時空と物質の進化, University of Tokyo, May / 18 Summary / Implications Why is the amplitude enhanced ? The self-gravity of supercritical perturbative modes will be greater than subcritical ones (, or ?) Implications The enhancement is important on comoving scales 10AU.  too small to be relevant to CMB/galaxy observations  through predictions of PBH abundance, we can derive new limits on RS cosmology ? Gravitational force ～ Cf. Sendouda et al., PRD (2003); PRD (2005); JCAP (2006) Guedens et al., PRD (2006a); Majumdar, PRL (2003)