請用此 Handle URI 來引用此文件:
http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66471
完整後設資料紀錄
DC 欄位 | 值 | 語言 |
---|---|---|
dc.contributor.advisor | 黃宇廷 | |
dc.contributor.author | Kai-Der Wang | en |
dc.contributor.author | 王塏德 | zh_TW |
dc.date.accessioned | 2021-06-17T00:37:28Z | - |
dc.date.available | 2021-02-10 | |
dc.date.copyright | 2020-02-10 | |
dc.date.issued | 2019 | |
dc.date.submitted | 2020-02-06 | |
dc.identifier.citation | 1. E. E. Flanagan and T. Hinderer, Constraining neutron star tidal Love numbers with gravitational wave detectors, Phys. Rev. D77 (2008) 021502, [0709.1915].
2. T. Hinderer, Tidal Love numbers of neutron stars, Astrophys. J. 677 (2008) 1216–1220, [0711.2420]. 3. T. Damour and A. Nagar, Relativistic tidal properties of neutron stars, Phys. Rev. D80 (2009) 084035 [0906.0096]. 4. T. Binnington and E. Poisson, Relativistic theory of tidal Love numbers, Phys. Rev. D80 (2009) 084018 ,[0906.1366]. 5. B. Kol and M. Smolkin, Black hole stereotyping: Induced gravito-static polarization, JHEP 02 (2012) 010, [1110.3764]. 6. V. Cardoso, E. Franzin, A. Maselli, P. Pani and G. Raposo, Testing strong-field gravity with tidal Love numbers, Phys. Rev. D95 (2017) 084014, [1701.01116]. 7. E. Poisson, Tidal deformation of a slowly rotating black hole, Phys. Rev. D91 (2015) 044004, [1411.4711]. 8. P. Landry and E. Poisson, Tidal deformation of a slowly rotating material body. External metric, Phys. Rev. D91 (2015) 104018, [1503.07366]. 9. P. Pani, L. Gualtieri and V. Ferrari, Tidal Love numbers of a slowly spinning neutron star,Phys. Rev. D92 (2015) 124003, [1509.02171]. 10. R. A. Porto, The Tune of Love and the Nature(ness) of Spacetime, Fortsch. Phys. 64 (2016) 723–729, [1606.08895]. 11. M. H. Goroff and A. Sagnotti, The Ultraviolet Behavior of Einstein Gravity, Nucl. Phys. B266 (1986) 709–736. 12. S. Cai and K.-D. Wang, Non-vanishing of tidal Love numbers, 1906.06850 13. C. M. Will, Gravity: Newtonian, Post-Newtonian, and General Relativistic, pp. 9–72. Springer International Publishing, Cham, 2016. 10.1007/978-3-319-20224-22. 14. K. S. Thorne, Multipole Expansions of Gravitational Radiation, Rev. Mod. Phys. 52 (1980) 299–339. 15. X. H. Zhang, Multipole expansions of the general-relativistic gravitational field of the external universe, Phys. Rev. D34 (1986) 991–1004. 16. T. Regge and J. A. Wheeler, Stability of a Schwarzschild singularity, Phys. Rev. 108 (1957) 1063–1069. 17. A. Ishibashi and H. Kodama, Stability of higher dimensional Schwarzschild black holes, Prog.Theor. Phys. 110 (2003) 901–919, [hep-th/0305185]. 18. F. J. Zerilli, Effective potential for even parity Regge-Wheeler gravitational perturbation equations, Phys. Rev. Lett. 24 (1970) 737–738. 19. H. Kodama and A. Ishibashi, A Master equation for gravitational perturbations of maximally symmetric black holes in higher dimensions, Prog. Theor. Phys. 110 (2003) 701–722,[hep-th/0305147]. 20. K. Schwarzschild, On the gravitational field of a mass point according to Einstein’s theory, Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 1916 (1916) 189–196, [physics/9905030]. 21. I. Z. Rothstein, Progress in effective field theory approach to the binary inspiral problem, Gen. Rel. Grav. 46 (2014) 1726. 22. S. Chakrabarti, T. Delsate and J. Steinhoff, New perspectives on neutron star and black hole spectroscopy and dynamic tides, 1304.2228. 23. S. Chakrabarti, T. Delsate and J. Steinhoff, Effective action and linear response of compact objects in Newtonian gravity, Phys. Rev. D88 (2013) 084038, [1306.5820]. 24. W. D. Goldberger and I. Z. Rothstein, Dissipative effects in the worldline approach to black hole dynamics, Phys. Rev. D73 (2006) 104030, [hep-th/0511133]. 25. S. Mano, H. Suzuki and E. Takasugi, Analytic solutions of the Regge-Wheeler equation and the postMinkowskian expansion, Prog. Theor. Phys. 96 (1996) 549–566, [gr-qc/9605057]. 26. G. ’t Hooft and M. Veltman, One-loop divergencies in the theory of gravitation, Annales del’I.H.P. Physique théorique 20 (1974) 69–94. 27. V. Cardoso, M. Kimura, A. Maselli and L. Senatore, Black Holes in an Effective Field Theory Extension of General Relativity, Phys. Rev. Lett. 121 (2018) 251105, [1808.08962]. 28. J. Steinhoff, T. Hinderer, A. Buonanno and A. Taracchini, Dynamical Tides in General Relativity: Effective Action and Effective-One-Body Hamiltonian, Phys. Rev. D94 (2016) 104028,[1608.01907]. 29. R. F. Penna, Near-horizon Carroll symmetry and black hole Love numbers, 1812.05643. 30. R. H. Price and K. S. Thorne, Membrane Viewpoint on Black Holes: Properties and Evolution of the Stretched Horizon, Phys. Rev. D33 (1986) 915–941. 31. M.-Z. Chung, Y.-T. Huang, J.-W. Kim and S. Lee, The simplest massive S-matrix: from minimal coupling to Black Holes, JHEP 04 (2019) 156,[1812.08752]. 32. A. Guevara, A. Ochirov and J. Vines, Scattering of Spinning Black Holes from Exponentiated Soft Factors, JHEP 09 (2019) 056, [1812.06895]. 33. K. Yagi, L. C. Stein, N. Yunes and T. Tanaka, Post-Newtonian, Quasi-Circular Binary Inspirals in Quadratic Modified Gravity, Phys. Rev. D85 (2012) 064022, [1110.5950]. 34. A. Maselli, P. Pani, V. Cardoso, T. Abdelsalhin, L. Gualtieri and V. Ferrari, Probing Planckian corrections at the horizon scale with LISA binaries, Phys. Rev. Lett. 120 (2018) 081101, [1703.10612]. 35. A. Maselli, P. Pani, V. Cardoso, T. Abdelsalhin, L. Gualtieri and V. Ferrari, From micro to macro and back: probing near-horizon quantum structures with gravitational waves, Class. Quant. Grav. 36 (2019) 167001, [1811.03689]. 36. V. Cardoso and P. Pani, Testing the nature of dark compact objects: a status report, Living Rev.Rel. 22 (2019) 4, [1904.05363]. 37. M. Vallisneri, Use and abuse of the Fisher information matrix in the assessment of gravitational-wave parameter-estimation prospects, Phys. Rev. D77 (2008) 042001,[gr-qc/0703086]. 38. P. Pani and A. Maselli, Love in Extrema Ratio, Int. J. Mod. Phys. D28 (2019) 1944001,[1905.03947]. 39. R. Hansen, Multipole moments of stationary space-times, J. Math. Phys. (N.Y.), v. 15, no. 1, pp.46-52 . 40. R. P. Geroch, Multipole moments. II. Curved space, J. Math. Phys. 11 (1970) 2580–2588. | |
dc.identifier.uri | http://tdr.lib.ntu.edu.tw/jspui/handle/123456789/66471 | - |
dc.description.abstract | “洛芙係數” 這個物理量涵蓋了天體上一些極緊緻星體的資訊,例如黑洞或中子星。更重要的是我們在未來有機會能測到這個物理量。在廣義相對論中給出的黑洞解,經過計算發現竟然是零,這好比開出了一扇窗讓我們去真正的探索時空的本質。基於黑洞的“洛芙係數” 是零這個奇怪的事實跟愛因斯坦的理論只是有效場理論,也就是在四維時空裡的廣義相對論,我們知道當系統能量夠高時這理論需要一些高階修正項。在這篇文章中,我們分析了在這些高階修正下的黑洞解。我們在新的黑洞解的背景下做線性的微擾,並解了微擾的方程式。在適當的邊界條件下,我們可以提取黑洞的“洛芙係數” 這個資訊。我們發現在這新的黑洞背景下做微擾展開會得出不為零的“洛芙係數”。這更加深了在原本廣義相對論裡,黑洞的“洛芙係數”都是零謎。 | zh_TW |
dc.description.abstract | The tidal Love numbers (TLNs) encode the internal structure of compact objects, such as black holes (BHs) or neutron stars and, more importantly, it is testable in the future gravitational detector. The vanishing of TLNs in vacuum classical general relativity thus offers a fantastic opportunity to probe the very fabric of spacetime, in the advent of a new era of precision gravity.Motivated by the bizarre features that BHs TLNs are all zero and the fact that Einstein’s gravity may not be well-behaved theory in high enough energy scale, we analyze black holes solutions under R^3-type corrections, which is the leading correction induced by quantum corrections in four-dimensions.Our methodology stars with the perturbation of our BHs solutions using a linear perturbation formalism. We then impose the Regge-Wheeler gauge and solve the perturbed differential equations using appropriate boundary conditions, both at the event horizon and infinity. From the resulting solutions, we can identify the induced multipole moments and the tidal fields which allow us to extract TLNs. We showed that perturbations around this black hole background will lead to non-zero TLNs. This further accentuates the “unnaturalness” of the vanishing TLNs for Schwarzschild black hole under Einstein-Hilbert action. | en |
dc.description.provenance | Made available in DSpace on 2021-06-17T00:37:28Z (GMT). No. of bitstreams: 1 ntu-108-R06244005-1.pdf: 554967 bytes, checksum: 5ec8e8b756e7a103408ac958323b2dd7 (MD5) Previous issue date: 2019 | en |
dc.description.tableofcontents | [iii] Acknowledgements
[v] 摘要 [vii] Abstract [1] 1. Introduction [5] 2. Tidal Love Numbers(TLNs) [5] 2.1 TLNs in Newtonian theory [5] 2.1.1 Tidal Potential [6] 2.1.2 Induced Perturbations and External Problem [9] 2.2 TLNs in Relativistic theory [9] 2.2.1 Multipole Moments of a Relativistic Object [10] 2.2.2 Relativistic Tidal Field Moments [11] 2.2.3 Asymptotic Spacetime of a Deformed Body [13] 3. Black Holes TLNs in General Relativity [13] 3.1 Linear Spacetime Perturbation [14] 3.2 TLNs of Schwarzschild Bh in D=4 [16] 3.3 TLNs of Schwarzschild BH in D>4 [19] 4. Black Holes TLNs beyond General Relativity [19] 4.1 Motivation [21] 4.2 The Perturbed Solutions [22] 4.3 Calculation of TLNs [24] 4.3.1 Even-Parity Sector [24] 4.3.2 Odd-Parity Sector [27] 5. Conclusions and Outlook [29] A. Useful Formula [33] bibliography | |
dc.language.iso | en | |
dc.title | 黑洞之 “洛芙係數” | zh_TW |
dc.title | Black Holes Tidal Love Numbers | en |
dc.type | Thesis | |
dc.date.schoolyear | 108-1 | |
dc.description.degree | 碩士 | |
dc.contributor.oralexamcommittee | 陳恆榆,賀培銘 | |
dc.subject.keyword | 廣義相對論,史瓦西黑洞,量子修正,微擾, | zh_TW |
dc.subject.keyword | Einstein-Hilbert action,Schwarzschild black hole,quantum correction,perturbation, | en |
dc.relation.page | 35 | |
dc.identifier.doi | 10.6342/NTU202000351 | |
dc.rights.note | 有償授權 | |
dc.date.accepted | 2020-02-07 | |
dc.contributor.author-college | 理學院 | zh_TW |
dc.contributor.author-dept | 天文物理研究所 | zh_TW |
顯示於系所單位: | 天文物理研究所 |
文件中的檔案:
檔案 | 大小 | 格式 | |
---|---|---|---|
ntu-108-1.pdf 目前未授權公開取用 | 541.96 kB | Adobe PDF |
系統中的文件,除了特別指名其著作權條款之外,均受到著作權保護,並且保留所有的權利。