-
[1]
R. M. Wald, General relativity (Chicago: University of Chicago Press, 2010)
-
[2]
E. Poisson, A relativist's toolkit: the mathematics of black-hole mechanics (Cambridge: Cambridge university Press, 2004)
-
[3]
V. P. Frolov and A. Zelnikov, Introduction to black hole physics (Oxford: OUP, 2011)
-
[4]
N. Afshordi, A. Ashtekar, E. Barausse et al., arXiv: 2410.14414
-
[5]
S. Chandrasekhar and K. S. Thorne, The mathematical theory of black holes (Oxford: Oxford University Press, 1985)
-
[6]
LIGO Scientific, Virgo Collaboration, B. P. Abbott et al., Phys. Rev. Lett. 116(6), 061102 (2016), arXiv: 1602.03837
-
[7]
LIGO Scientific, Virgo Collaboration, B. P. Abbott et al., Phys. Rev. Lett. 116(24), 241103 (2016), arXiv: 1606.04855
-
[8]
B. P. Abbott et al. (LIGO Scientific, Virgo Collaboration), Phys. Rev. X 6(4), 041015 (2016) [Erratum: Phys. Rev. X 8, 039903 (2018)], arXiv: 1606.04856
-
[9]
B. P. Abbott et al. (LIGO Scientific, VIRGO Collaboration), Phys. Rev. Lett. 118, 221101 (2017) [Erratum: Phys. Rev. Lett. 121, 129901 (2018)], arXiv: 1706.01812
-
[10]
E. H. T. Collaboration et al., arXiv: 1906.11238
-
[11]
K. Akiyama, A. Alberdi, W. Alef et al., ApJL 875(1), L2 (2019)
-
[12]
K. Akiyama, A. Alberdi, W. Alef et al., ApJL 875(1), L3 (2019)
-
[13]
K. Akiyama, A. Alberdi, W. Alef et al., ApJL 875(1), L4 (2019)
-
[14]
K. Akiyama, A. Alberdi, W. Alef et al., ApJL 875(1), L5 (2019)
-
[15]
K. Akiyama, A. Alberdi, W. Alef et al., ApJL 875(1), L6 (2019)
-
[16]
M. Punturo, et al., Class. Quant. Grav. 27, 194002 (2010)
-
[17]
M. Evans et al., Cosmic Explorer: A Submission to the NSF MPSAC ngGW Subcommittee, arXiv: 2306.13745
-
[18]
M. Evans et al., arXiv: 2109.09882
-
[19]
M. Colpi et al., arXiv: 2402.07571
-
[20]
TianQin Collaboration, J. Luo, et al., Class. Quant. Grav. 33(3), 035010 (2016), arXiv: 1512.02076
-
[21]
W.-R. Hu and Y.-L. Wu, Natl. Sci. Rev. 4(5), 685 (2017)
-
[22]
R. Penrose, Phys. Rev. Lett. 14(3), 57 (1965)
-
[23]
S. W. Hawking and R. Penrose, Proc. R. Soc. Lond. A 314(1519), 529 (1970)
-
[24]
P. R. Brady and J. D. Smith, Phys. Rev. Lett. 75(7), 1256 (1995)
-
[25]
S. W. Hawking, Nature 248(5443), 30 (1974)
-
[26]
S. Hawking, Black holes and the information paradox, in General Relativity and Gravitation (Singapore: World Scientific, 2005), p. 56
-
[27]
J. D. Bekenstein, Contemporary Physics 45(1), 31 (2004)
-
[28]
F. Landgren, The information paradox, a modern review, .
-
[29]
T. Thiemann, Modern Canonical Quantum General Relativity (Cambridge: Cambridge University Press, 2008)
-
[30]
C. Rovelli, Quantum Gravity (Cambridge: Cambridge University Press, 2004)
-
[31]
M. Han, Y. Ma, and W. Huang, Int. J. Mod. Phys. D 16(09), 1397 (2007)
-
[32]
T. Thiemann, Lectures on loop quantum gravity, in Quantum gravity: From Theory to Experimental Search (New York: Springer, 2003), p. 41
-
[33]
A. Ashtekar and J. Lewandowski, Class. Quant. Grav. 21(15), R53 (2004)
-
[34]
K. Giesel and H. Sahlmann, arXiv: 1203.2733
-
[35]
C. Rovelli, arXiv: 1102.3660
-
[36]
A. Perez, Living Reviews in Relativity 16, 1 (2013)
-
[37]
V. Husain, J. G. Kelly, R. Santacruz et al., Phys. Rev. Lett. 128(12), 121301 (2022)
-
[38]
V. Husain, J. G. Kelly, R. Santacruz et al., Phys. Rev. D 106(2), 024014 (2022)
-
[39]
C. Rovelli, Phys. Rev. Lett. 77(16), 3288 (1996)
-
[40]
A. Perez, Rep. Prog. Phys. 80(12), 126901 (2017)
-
[41]
C. Rovelli and F. Vidotto, Int. J. Mod. Phys. D 23(12), 1442026 (2014)
-
[42]
H. M. Haggard and C. Rovelli, Phys. Rev. D 92(10), 104020 (2015)
-
[43]
T. De Lorenzo and A. Perez, Phys. Rev. D 93(12), 124018 (2016)
-
[44]
M. Christodoulou, C. Rovelli, S. Speziale et al., Phys. Rev. D 94(8), 084035 (2016)
-
[45]
E. Bianchi, M. Christodoulou, F. d’Ambrosio et al., Class. Quant. Grav. 35(22), 225003 (2018)
-
[46]
F. D'Ambrosio, M. Christodoulou, P. Martin-Dussaud et al., Phys. Rev. D 103, 106014 (2021)
-
[47]
F. Soltani, C. Rovelli, and P. Martin-Dussaud, Phys. Rev. D 104(6), 066015 (2021)
-
[48]
A. Rignon-Bret and C. Rovelli, Phys. Rev. D 105(8), 086003 (2022)
-
[49]
M. Han, C. Rovelli, and F. Soltani, Phys. Rev. D 107(6), 064011 (2023)
-
[50]
J. R. Oppenheimer and H. Snyder, Phys. Rev. 56(5), 455 (1939)
-
[51]
J. Lewandowski, Y. Ma, J. Yang et al., Phys. Rev. Lett. 130(10), 101501 (2023)
-
[52]
J. Yang, C. Zhang, and Y. Ma, Eur. Phys. J. C 83(7), 619 (2023)
-
[53]
O. Stashko, Phys. Rev. D 110(8), 084016 (2024)
-
[54]
C. Zhang, Y. Ma, and J. Yang, Phys. Rev. D 108(10), 104004 (2023)
-
[55]
H. Gong, S. Li, D. Zhang et al., Phys. Rev. D 110(4), 044040 (2024)
-
[56]
S. Yang, Y.-P. Zhang, T. Zhu et al., arXiv: 2407.00283
-
[57]
H. Liu, M.-Y. Lai, X.-Y. Pan et al., Phys. Rev. D 110(10), 104039 (2024)
-
[58]
T. Zi and S. Kumar, arXiv: 2409.17765
-
[59]
R. Kantowski and R. K. Sachs, J. Math. Phys. 7(3), 443 (1966)
-
[60]
A. Joe, Anisotropic Spacetimes and Black Hole Interiors in Loop Quantum Gravity. Ph.D. thesis (Thibodaux: Louisiana State Uni., 2015)
-
[61]
L. Modesto, Int. J. Theor. Phys. 45(12), 2235 (2006)
-
[62]
R. Casadio, A. Kamenshchik, and J. Ovalle, Phys. Rev. D 110(4), 044001 (2024)
-
[63]
S. W. Hawking, Commun.Math. Phys. 43(3), 199 (1975)
-
[64]
G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15(10), 2752 (1977)
-
[65]
M. K. Parikh and F. Wilczek, Phys. Rev. Lett. 85(24), 5042 (2000)
-
[66]
M. Parikh, Int. J. Mod. Phys. D 13(10), 2351 (2004)
-
[67]
M. A. Rahman and M. I. Hossain, Phys. Lett. B 712(1-2), 1 (2012)
-
[68]
S. P. Kim, Int. J. Mod. Phys. D 25(13), 1645005 (2016)
-
[69]
G. Hooft, Nucl. Phys. B 256, 727 (1985)
-
[70]
R. Emparan, JHEP 2006(06), 012 (2006)
-
[71]
A. Almheiri, T. Hartman, J. Maldacena et al., Rev. Mod. Phys. 93(3), 035002 (2021)
-
[72]
J. Zhang, Phys. Lett. B 668(5), 353 (2008)
-
[73]
J.-Y. Zhang and Z. Zhao, Mod. Phys. Lett. A 20, 1673 (2005)
-
[74]
J.-Y. Zhang and Z. Zhao, Nucl. Phys. B 725, 173 (2005)
-
[75]
J. Zhang, Phys. Lett. B 675(1), 14 (2009)
-
[76]
A. Ghosh and P. Mitra, Phys. Rev. D 71(2), 027502 (2005)
-
[77]
R. K. Kaul and P. Majumdar, Phys. Rev. Lett. 84(23), 5255 (2000)
-
[78]
M. Domagala and J. Lewandowski, Class. Quant. Grav. 21(22), 5233 (2004)
-
[79]
K. A. Meissner, Class. Quant. Grav. 21(22), 5245 (2004)
-
[80]
A. Chatterjee and P. Majumdar, Phys. Rev. Lett. 92(14), 141301 (2004)
-
[81]
A. Medved, Class. Quant. Grav. 22(1), 133 (2004)
-
[82]
J. Lin and X. Zhang, Phys. Rev. D 110(2), 026002 (2024)
-
[83]
Z. Shi, X. Zhang, and Y. Ma, Phys. Rev. D 110(10), 104074 (2024)
-
[84]
R. Banerjee and B. R. Majhi, Phys. Lett. B 662(1), 62 (2008)
-
[85]
R. Banerjee and B. R. Majhi, JHEP 2008(06), 095 (2008)
-
[86]
R. Banerjee and B. R. Majhi, Phys. Lett. B 674(3), 218 (2009)
-
[87]
B. R. Majhi, Phys. Rev. D 79(4), 044005 (2009)
-
[88]
B. R. Majhi and S. Samanta, Ann. Phys. 325(11), 2410 (2010)
-
[89]
A. Ashtekar, T. Pawlowski, and P. Singh, Phys. Rev. Lett. 96(14), 141301 (2006)
-
[90]
J. Yang, Y. Ding, and Y. Ma, Phys. Lett. B 682(1), 1 (2009)
-
[91]
M. Assanioussi, A. Dapor, and K. Liegener, Phys. Rev. Lett. 121, 081303 (2018)
-
[92]
W. Israel, Il Nuovo Cimento B (1965-1970) 44(1), 1 (1966)
-
[93]
P. Painlevé, Comptes Rendus Academie des Sciences (serie non specifiee) 173, 677 (1921)
-
[94]
L. Cafaro and J. Lewandowski, Phys. Rev. D 110(2), 024072 (2024)
-
[95]
C. Singha, Gen. Relativ. Gravit. 54(4), 38 (2022)
-
[96]
S. Saghafi and K. Nozari, Gen. Relativ. Gravit. 55(1), 20 (2023)
-
[97]
K. Nozari and A. Sefidgar, Gen. Relativ. Gravit. 39, 501 (2007)
-
[98]
H. S. Snyder, Phys. Rev. 71(1), 38 (1947)
-
[99]
N. Seiberg and E. Witten, JHEP 1999(09), 032 (1999)
-
[100]
M. R. Douglas and N. A. Nekrasov, Rev. Mod. Phys. 73(4), 977 (2001)
-
[101]
P. Aschieri, C. Blohmann, M. Dimitrijević et al., Class. Quant. Grav. 22(17), 3511 (2005)
-
[102]
K. Nozari and S. H. Mehdipour, Class. Quant. Grav. 25(17), 175015 (2008)
-
[103]
G. Amelino-Camelia, M. Arzano, Y. Ling et al., Class. Quant. Grav. 23(7), 2585 (2006)
-
[104]
K. Nozari and A. Sefidgar, Phys. Lett. B 635(2-3), 156 (2006)
-
[105]
K. Nozari and S. Saghafi, JHEP 2012(11), 1 (2012)
-
[106]
A. Ashtekar, S. Fairhurst, and J. L. Willis, Class. Quant. Grav. 20(6), 1031 (2003)
-
[107]
A. Corichi, T. Vukašinac, and J. A. Zapata, Phys. Rev. D 76(4), 044016 (2007)
-
[108]
M. Gorji, K. Nozari, and B. Vakili, Phys. Lett. B 735, 62 (2014)
-
[109]
G. Penington, JHEP 2020(9), 1 (2020)
-
[110]
A. Almheiri, N. Engelhardt, D. Marolf et al., JHEP 2019(12), 1 (2019)
-
[111]
A. Almheiri, R. Mahajan, J. Maldacena et al., JHEP 2020(3), 1 (2020)
-
[112]
A. Almheiri, R. Mahajan, and J. Maldacena, arXiv: 1910.11077
-
[113]
K. Hashimoto, N. Iizuka, and Y. Matsuo, JHEP 2020(6), 1 (2020)
-
[114]
S. Ryu and T. Takayanagi, JHEP 2006(08), 045 (2006)
-
[115]
V. E. Hubeny, M. Rangamani, and T. Takayanagi, JHEP 2007(07), 062 (2007)
-
[116]
N. Engelhardt and A. C. Wall, JHEP 2015(1), 1 (2015)
-
[117]
D. N. Page, Phys. Rev. Lett. 71(23), 3743 (1993)
-
[118]
D. N. Page, JCAP 2013(09), 028 (2013)