ブラックホール時空上の線形摂動場のダイナミクス

[1] K. Ueda and A. Ishibashi, Phys. Rev. D 97, 124050 (2018).

[2] V, Cardoso, T. Igata, A. Ishibashi, and K. Ueda, Phys. Rev. D 100, 044013 (2019).

[3] A. Arvanitaki, et al. Phys. Rev. D 81, 123530 (2010).

[4] S. Perlmutter, et al. 1999 ApJ 517 565.

[5] Brian P. Schmidt, et al. 1998 ApJ 507 46.

[6] Adam G. Riess, et al. 1998 AJ 116 1009.

[7] M. Fierz and W. Pauli, Proc. R. Soc. A 173, 211 (1939).

[8] B. P. Abbott et al. (LIGO Scientific Collaboration and Virgo Collaboration), Physical Review Letters, 116, 061102, 2016.

[9] A. Arvanitaki and S. Dubovsky, Phys. Rev. D 83, 044026 (2011).

[10] W. Press and S. Teukolsky 1972, Nature 238, 211.

[11] R. Brito, V. Cardoso, and P. Pani, Superradiance, Lecture Notes in Physics Vol. 906, Springer, New York, (2015).

[12] W. Unruh, Phys. Rev. Lett. 31, 1265 (1973).

[13] V. Cardoso and O.J.C. Dias, Phys. Rev. D 70, 084011 (2004).

[14] N. Uchikata and S. Yoshida, Phys. Rev. D 83, 064020 (2011).

[15] J. Maldacena, Adv. Theor. Math. Phys. 2, 231 (1998).

[16] G. T. Horowitz and V. E. Hubeny, Phys. Rev. D 62, 024027 (2000).

[17] S. S. Gubser, Phys. Rev. D 78, 065034 (2008).

[18] S. A. Hartnoll, C. P. Herzog and G. T. Horowitz, JHEP 12 (2008) 015.

[19] M. Guica, T. Hartman, W. Song, and A. Strominger, Phys. Rev. D 80, 124008 (2009).

[20] A. P. Porfyriadis and A. Strominger, Phys. Rev. D 90, 044038 (2014).

[21] T. Roy Choudhury and T. Padmanabhan, Phys. Rev. D 69 , 064033 (2004).

[22] B. F. Schutz and C. M. Will, Astrophys. J., L291:33-36 (1985).

[23] S. A. Teukolsky, Astrophys. J.185, 635 (1973).

[24] V. P. Frolov, P. Krtouˇs, D. Kubiznˇ´ak, and J. E. Santos, Phys. Rev. Lett. 120, 231103 (2018) [arXiv:1804.00030 [hep-th]].

[25] S. R. Dolan, Phys, Rev, D 98, 104006 (2018).

[26] A. Ishibashi and R. M. Wald, Class. Quant. Grav. 21, 2981 (2004).

[27] D. Birmingham and S. Mokhtari, Phys. Rev. D 76, 124039 (2007).

[28] A. Belin and A. Maloney, Class. Quant. Grav. 33 (2016) 215003 [arXiv:hep-th/1412.0280].

[29] T. Katagiri and T. Harada, Class. Quant. Grav. 38 (2021) 13,135026 [arXiv:gr- qc/2006.10301].

[30] D. Batic, N. G. Kelkar, and M. Nowakowski, Comment on “Quasinormal modes in Schwarzschild-de Sitter spacetime: a simple derivation of the level spacing of the frequen- cies”. Phys. Rev. D 83, 108501 (2011).

[31] T. Roy Choudhury, T. Padmanabhan, Reply to “Comment on Quasinormal modes in Schwarzschild-de Sitter spacetime: a simple derivation of the level spacing of the frequen- cies”. Phys. Rev, D 83, 108502 (2011).

[32] R. M. Wald, General Relativity, University of Chicago Press (1984).

[33] F. Sato and H. Kodama, 一般相対性理論, 岩波書店 (2000).

[34] H. Kodama and A. Ishibashi, Prog. Theor. Phys. 111: 29-73 (2004).

[35] C. Charmousis, Anti de Sitter black holes , Fifth Aegean Summer School: From Gravity to Thermal Gauge Theories: The AdS/CFT Correspondences (2009).

[36] E. Poisson, A Relativist’s Toolkit, The Mathematics of Black-Hole Mechanics, Cambridge University Press (2004).

[37] R. Brito, V. Cardoso, and P. Pani, Phys. Rev. D 88, 023514 (2013).

[38] P. Zimmerman, Phys. Rev. D 95, 124032 (2017).

[39] G. W. Gibbons and S. A. Hartnoll, Phys. Rev. D 66, 064024 (2002) [arXiv:hep-th/0206202].

[40] A. Ishibashi and H. Kodama, Prog. Theor. Phys. 110, 901 (2003) [arXiv:hep-th/0305185].

[41] H. Kodama, A. Ishibashi, and O. Seto, Phys. Rev. D 62, 064022 (2000).

[42] M. Ban˜ados, C. Teitelboim and J. Zanelli, Phys. Rev. Lett. 69 (1992)1849 [arXiv:hep- th/9204099].

[43] M. Abramowitz, and I. Stegun, Handbook of Mathematical Functions with Form ulas, Graphs, and Mathematical Tables, Dover, New York, ninth Dover printing, tenth GPO printing edition, (1964).

[44] R. Aros, C.Mart´ınez, R. Troncoso, and J. Zanelli, Phys. Rev. D 67, 044014 (2003).

[45] D. V. G´omez-Navarro, A. L´opez-Ortega, Rev. Mex. Fis. 63 (6) (2017) 541.

[46] D. Birmingham and S. Mokhtari, Phys. Rev. D 74 084026 (2006) [arXiv:hep-th/0609028].

[47] J. Rosa and S. Dolan, Phys. Rev. D85, 044043 (2012).

[48] D. Batic, N. G. Kelkar, and M. Nowakowski, Eur. Phys. J. C 71: 1831 (2011).

[49] I. S. Gradshteyn and I. M. Ryhzik, Table of Integrals, Series and Products, Academic, New York, (1994).