Area-law versus Rényi and Tsallis black hole entropies

[1] J. D. Bekenstein, Phys. Rev. D 7, 2333 (1973).

[2] S. W. Hawking, Commun. Math. Phys. 43, 199 (1975); 46,206(E) (1976).

[3] J. M. Bardeen, B. Carter, and S. W. Hawking, Commun. Math. Phys. 31, 161 (1973).

[4] R. M. Wald, Living Rev. Relativity 4, 6 (2001).

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

[6] S. Carlip, Int. J. Mod. Phys. D 23, 1430023 (2014).

[7] S. W. Hawking and D. N. Page, Commun. Math. Phys. 87, 577 (1983).

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

[9] E. Witten, Adv. Theor. Math. Phys. 2, 505 (1998).

[10] D. Kastor, S. Ray, and J. Traschen, Classical Quantum Gravity 26, 195011 (2009).

[11] D. Kubiznak and R. B. Mann, Can. J. Phys. 93, 999 (2015).

[12] A. Karch and B. Robinson, J. High Energy Phys. 12 (2015) 073.

[13] D. Kubiznak and F. Simovic, Classical Quantum Gravity 33,245001 (2016).

[14] D. Kubiznak, R. B. Mann, and M. Teo, Classical Quantum Gravity 34, 063001 (2017).

[15] M. Sinamuli and R. B. Mann, Phys. Rev. D 96, 086008(2017).

[16] A. G. Tzikas, Phys. Lett. B 788, 219 (2019).

[17] D. Astefanesei, R. B. Mann, and R. Rojas, J. High Energy Phys. 11 (2019) 043.

[18] M. Mir, R. A. Hennigar, J. Ahmed, and R. B. Mann, J. High Energy Phys. 08 (2019) 068.

[19] A. Kumar, S. G. Ghosh, and S. D. Maharaj, Phys. Dark Universe 30, 100634 (2020).

[20] C. Tsallis and L. J. L. Cirto, Eur. Phys. J. C 73, 2487 (2013).

[21] A. Bialas and W. Czyz, Europhys. Lett. 83, 60009 (2008).

[22] X. Huang and Y. Zhou, J. High Energy Phys. 02 (2015) 068.

[23] R. Brustein and A. J. M. Medved, Phys. Rev. D 91, 084062 (2015).

[24] T. Nishioka, J. High Energy Phys. 07 (2014) 061.

[25] V. G. Czinner and H. Iguchi, Phys. Lett. B 752, 306 (2016).

[26] X. Dong, Nat. Commun. 7, 12472 (2016).

[27] W. Y. Wen, Int. J. Mod. Phys. D 26, 1750106 (2017).

[28] V. G. Czinner and H. Iguchi, Eur. Phys. J. C 77, 892 (2017).

[29] C. V. Johnson, Int. J. Mod. Phys. D 28, 1950091 (2019).

[30] S. Qolibikloo and A. Ghodsi, Eur. Phys. J. C 79, 406 (2019).

[31] L. Tannukij, P. Wongjun, E. Hirunsirisawat, T. Deesuwan, and C. Promsiri, Eur. Phys. J. Plus 135, 500 (2020).

[32] C. Promsiri, E. Hirunsirisawat, and W. Liewrian, Phys. Rev.D 102, 064014 (2020).

[33] D. Samart and P. Channuie, arXiv:2012.14828 [Phys. Rev. D (to be published)].

[34] J. Ren, J. High Energy Phys. 05 (2021) 080.

[35] K. Mejrhit and R. Hajji, Eur. Phys. J. C 80, 1060 (2020).

[36] R. Nakarachinda, E. Hirunsirisawat, L. Tannukij, and P. Wongjun, Phys. Rev. D 104, 064003 (2021).

[37] E. M. C. Abreu and J. Ananias Neto, Europhys. Lett. 133, 49001 (2021).

[38] A. Re´nyi, On measures of information and entropy, in Proceedings of the 4th Berkeley Symposium on Mathemat- ics, Statistics and Probability, 1960, Vol. I (University of California Press, Berkeley and Los Angeles, 1960),pp. 547–561.

[39] C. Tsallis, J. Stat. Phys. 52, 479 (1988).

[40] L. B. Szabados, Living Rev. Relativity 12, 4 (2009).

[41] C. W. Misner and D. H. Sharp, Phys. Rev. 136, B571 (1964).

[42] W. C. Hernandez and C. W. Misner, Astrophys. J. 143, 452 (1966).

[43] J. D. Brown and J. W. York, Jr., Phys. Rev. D 47, 1407 (1993).

[44] G. C. McVittie, Mon. Not. R. Astron. Soc. 93, 325 (1933).

[45] M. Carrera and D. Giulini, Phys. Rev. D 81, 043521 (2010).

[46] V. Faraoni, Cosmological and Black Hole Apparent Horizons,Lect. Notes Phys. Vol. 907 (Springer, New York, 2015).

[47] J. Sultana and C. C. Dyer, Gen. Relativ. Gravit. 37, 1347 (2005).

[48] S. A. Hayward, Phys. Rev. D 53, 1938 (1996).

[49] S. A. Hayward, S. Mukohyama, and M. C. Ashworth, Phys. Lett. A 256, 347 (1999).

[50] S. A. Hayward, Classical Quantum Gravity 15, 3147 (1998).

[51] R. M. Wald, Phys. Rev. D 48, R3427 (1993).

[52] V. Iyer and R. M. Wald, Phys. Rev. D 50, 846 (1994).

[53] H. Kodama, Prog. Theor. Phys. 63, 1217 (1980).

[54] L. Vanzo, G. Acquaviva, and R. Di Criscienzo, Classical Quantum Gravity 28, 183001 (2011).

[55] S. Nojiri, S. D. Odintsov, and E. N. Saridakis, Eur. Phys. J. C 79, 242 (2019).

[56] C. Barrabes and G. F. Bressange, Classical Quantum Gravity 14, 805 (1997).

[57] G. F. Bressange, Classical Quantum Gravity 17, 2509(2000).

[58] J. Velay-Vitow and A. DeBenedictis, Phys. Rev. D 96, 024055 (2017).

[59] V. Berezin, V. Dokuchaev, Y. Eroshenko, and A. Smirnov, Int. J. Mod. Phys. A 35, 2040002 (2020).

[60] V. A. Berezin, V. I. Dokuchaev, Y. N. Eroshenko, and A. L. Smirnov, Classical Quantum Gravity 38, 045014 (2021).

[61] V. A. Berezin, V. I. Dokuchaev, Y. N. Eroshenko, and A. L. Smirnov, Phys. Part. Nucl. 51, 730 (2020).

[62] L. Avile´s, H. Maeda, and C. Martinez, Classical Quantum Gravity 37, 075022 (2020).

[63] G. J. Olmo and D. Rubiera-Garcia, Classical Quantum Gravity 37, 215002 (2020).

[64] C. S. Chu and H. S. Tan, arXiv:2103.06314 [Phys. Rev. D (to be published)].

[65] J. L. Rosa, Phys. Rev. D 103, 104069 (2021).

[66] C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961).

[67] T. P. Sotiriou and V. Faraoni, Rev. Mod. Phys. 82, 451 (2010).

[68] S. Nojiri, S. D. Odintsov, and V. K. Oikonomou, Phys. Rep.692, 1 (2017).

[69] S. Nojiri and S. D. Odintsov, Phys. Rep. 505, 59 (2011).

[70] S. W. Hawking, Commun. Math. Phys. 25, 167 (1972).

[71] J. D. Bekenstein, arXiv:gr-qc/9605059.

[72] T. P. Sotiriou and V. Faraoni, Phys. Rev. Lett. 108, 081103 (2012).

[73] S. Bhattacharya, K. F. Dialektopoulos, A. E. Romano, andT. N. Tomaras, Phys. Rev. Lett. 115, 181104 (2015).

[74] J. D. Barrow, Phys. Lett. B 808, 135643 (2020).

[75] G. Cognola, E. Elizalde, S. Nojiri, S. D. Odintsov, and S. Zerbini, J. Cosmol. Astropart. Phys. 02 (2005) 010.

[76] G. E. Volovik, arXiv:2107.11193.

[77] G. W. Gibbons and S. W. Hawking, Phys. Rev. D 15, 2738 (1977).

[78] E. Babichev, V. Dokuchaev, and Y. Eroshenko, Phys. Rev. Lett. 93, 021102 (2004).