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理論報告 Takahiro Tanaka (Kyoto-u) 田中貴浩 (京大 理). DETERMINATION OF THE EQUATION OF THE STATE OF THE UNIVERSE USING ~ 0.1 HZ GRAVITATIONAL WAVE DETECTORS. By.

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Presentation on theme: "理論報告 Takahiro Tanaka (Kyoto-u) 田中貴浩 (京大 理). DETERMINATION OF THE EQUATION OF THE STATE OF THE UNIVERSE USING ~ 0.1 HZ GRAVITATIONAL WAVE DETECTORS. By."— Presentation transcript:

1 理論報告 Takahiro Tanaka (Kyoto-u) 田中貴浩 (京大 理)

2 DETERMINATION OF THE EQUATION OF THE STATE OF THE UNIVERSE USING ~ 0.1 HZ GRAVITATIONAL WAVE DETECTORS. By Ryuichi Takahashi (Tokyo, Astron. Observ.), Takashi Nakamura (Kyoto U.),. Aug 2004. 6pp. Submitted to Phys.Rev.D e-Print Archive: astro-ph/0408547Ryuichi TakahashiTokyo, Astron. Observ.Takashi NakamuraKyoto U. GRAVITATIONAL WAVE MEMORY OF GAMMA-RAY BURST JETS. By Norichika Sago (Osaka U., Dept. Earth Space Sci.), Kunihito Ioka (Penn State U.), Takashi Nakamura (Kyoto U.), Ryo Yamazaki (Osaka U., Dept. Earth Space Sci.),. OU-TAP- 230, KUNS-1916, May 2004. 10pp. Published in Phys.Rev.D70:104012,2004 e-Print Archive: gr-qc/0405067Norichika SagoOsaka U., Dept. Earth Space Sci.Kunihito IokaPenn State U. Takashi NakamuraKyoto U.Ryo YamazakiOsaka U., Dept. Earth Space Sci. A NEW ANALYTICAL METHOD FOR SELF-FORCE REGULARIZATION. II. TESTING THE EFFICIENCY FOR CIRCULAR ORBITS. By Wataru Hikida (Kyoto U., Yukawa Inst., Kyoto), Sanjay Jhingan (Basque U., Bilbao), Hiroyuki Nakano (Osaka City U.), Norichika Sago (Osaka U., Dept. Earth Space Sci.), Misao Sasaki (Kyoto U., Yukawa Inst., Kyoto), Takahiro Tanaka (Kyoto U.),. Oct 2004. 21pp. e-Print Archive: gr-qc/0410115Wataru HikidaKyoto U., Yukawa Inst., KyotoSanjay JhinganBasque U., Bilbao Hiroyuki NakanoOsaka City U.Norichika SagoOsaka U., Dept. Earth Space Sci.Misao SasakiKyoto U., Yukawa Inst., KyotoTakahiro TanakaKyoto U. LEADING ORDER CORRECTIONS TO THE COSMOLOGICAL EVOLUTION OF TENSOR PERTURBATIONS IN BRANEWORLD. By Tsutomu Kobayashi, Takahiro Tanaka (Kyoto U.),. KUNS-1933, Aug 2004. 15pp. Published in 0410:015,2004 e-Print Archive: gr-qc/0408021Tsutomu KobayashiTakahiro TanakaKyoto U. THE COLLAPSE OF DIFFERENTIALLY ROTATING SUPERMASSIVE STARS: CONFORMALLY FLAT SIMULATIONS. By Motoyuki Saijo. KUNS-1931, Jul 2004. 15pp. ** Temporary entry ** Published in Astrophys.J.615:866-879,2004 e-Print Archive: astro-ph/0407621Motoyuki SaijoTemporary entry

3 The 14th Workshop on General Relativity and Gravitation Date : November 29 (Mon) - December 3 (Fri.) Place : Yukawa Institute for Theoretical Physics, Kyoto University Objective: There has been an impressive progress in astrophysical/cosmological observations in recent years. Cosmology has entered an era of precision science. Astrophysical black holes have been observed in many frequency bands with better resolutions and sensitivities. Observations of gamma-ray bursts have added a new mystery to relativistic astrophysics. And, a new frontier is waiting to be explored by gravitational wave interferometers. On the theoretical side, motivated by unified theories of fundamental interactions, especially string theory, many efforts have been made for studies of physics in 5-dimensional or higher dimensional spacetimes, and there is a growing interest in experimental verifications of extra dimensions. There have been also important and interesting developments in various other areas, including alternative theories of gravity, quantum gravity, and spacetime singularities, to mention a few. This year, we plan to overview these recent developments and discuss future perspectives.

4

5 Ultimate Decigo X matter (dark energy)

6 Radiation reaction program Energy balance ⇒ orbital evolution Both are the lowest order radiation reaction force. But, we require higher resolution for dE GW /dt. Estimate the required accuracy using scalar charged particle model. As for dE orbit /df, 4 PN order((v/c) 8 )might be sufficient. As for dE GW /dt, convergence of PN expansion is too slow. We need to keep very high order. But we found Y lm expansion can be truncated at l ~13.

7 On-going project and future Can we see interesting feature of GW wave form ? A naive question (⇒ Hikida-kun’s poster ) l=2, m=2 only (used for template) + other modes Gravitational self-force in Schwarzshild spacetime (⇒ Nakano-kun’s poster ) or same order effect on trajectory gauge transforamtion Force itself directly depends on gauge choice. But, long time evolution of trajectory is approximately gauge invariant as long as   stays small

8 Radiative radiation reaction to Carter constant, Q. – A pair of E, Lz, Q specifies an orbit in Kerr spacetime. –To discuss evolution of trajectory by using balance argument, we need dQ/dt. – h (ret) – h (adv) is regular from the beginning, and it gives correctly. Second order correction to the wave form. –O(  2 ) in dE GW /dt.

9 Namely, 2 nd order perturbation If you want to know more about this part, please contact with TT. Sorry, this part was erased.


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