From nonextensive statistics and black hole entropy to the holographic dark universe

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

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

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

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

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

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

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

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

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

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

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

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

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

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

[19] D. Samart and P. Channuie, arXiv:2012.14828.

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

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

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

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

[24] A. Re´nyi, On measures of information and entropy, in Proceedings of the Fourth Berkeley Symposium on Math- ematics, Statistics and Proability (University of California Press, Berkeley, 1960), pp. 547–556.

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

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

[27] A. Sayahian Jahromi, S. A. Moosavi, H. Moradpour, J. P. Morais Graça, I. P. Lobo, I. G. Salako, and A. Jawad, Phys. Lett. B 780, 21 (201).

[28] G. Kaniadakis, Phys. Rev. E 72, 036108 (2005).

[29] N. Drepanou, A. Lymperis, E. N. Saridakis, and K. Yesmakhanova, arXiv:2109.09181.

[30] S. Nojiri, S. D. Odintsov, and V. Faraoni, Phys. Rev. D 104, 084030 (2021).

[31] M. Li, Phys. Lett. B 603, 1 (2004).

[32] M. Li, X. D. Li, S. Wang, and Y. Wang, Commun. Theor. Phys. 56, 525 (2011).

[33] S. Wang, Y. Wang, and M. Li, Phys. Rep. 696, 1 (2017).

[34] X. Zhang, Int. J. Mod. Phys. D 14, 1597 (2005).

[35] B. Guberina, R. Horvat, and H. Stefancic, J. Cosmol. Astropart. Phys. 05 (2005) 001.

[36] E. Elizalde, S. Nojiri, S. D. Odintsov, and P. Wang, Phys. Rev. D 71, 103504 (2005).

[37] S. Nojiri and S. D. Odintsov, Gen. Relativ. Gravit. 38, 1285 (2006).

[38] K. Enqvist and M. S. Sloth, Phys. Rev. Lett. 93, 221302 (2004).

[39] M. Ito, Europhys. Lett. 71, 712 (2005).

[40] Y. g. Gong, B. Wang, and Y. Z. Zhang, Phys. Rev. D 72, 043510 (2005).

[41] E. N. Saridakis, Phys. Lett. B 660, 138 (2008).

[42] Y. Gong and T. Li, Phys. Lett. B 683, 241 (2010).

[43] M. Bouhmadi-Lopez, A. Errahmani, and T. Ouali, Phys. Rev. D 84, 083508 (2011).

[44] M. Malekjani, Astrophys. Space Sci. 347, 405 (2013).

[45] M. Khurshudyan, J. Sadeghi, R. Myrzakulov, A. Pasqua, and H. Farahani, Adv. High Energy Phys. 2014, 1 (2014).

[46] M. Khurshudyan, Astrophys. Space Sci. 361, 392 (2016).

[47] R. C. G. Landim, Int. J. Mod. Phys. D 25, 1650050 (2016).

[48] C. Gao, F. Wu, X. Chen, and Y. G. Shen, Phys. Rev. D 79, 043511 (2009).

[49] M. Li, C. Lin, and Y. Wang, J. Cosmol. Astropart. Phys. 05 (2008) 023.

[50] F. K. Anagnostopoulos, S. Basilakos, and E. N. Saridakis, Eur. Phys. J. C 80, 826 (2020).

[51] X. Zhang and F. Q. Wu, Phys. Rev. D 72, 043524 (2005).

[52] M. Li, X. D. Li, S. Wang, and X. Zhang, J. Cosmol. Astropart. Phys. 06 (2009) 036.

[53] C. Feng, B. Wang, Y. Gong, and R. K. Su, J. Cosmol. Astropart. Phys. 09 (2007) 005.

[54] J. Lu, E. N. Saridakis, M. R. Setare, and L. Xu, J. Cosmol. Astropart. Phys. 03 (2010) 031.

[55] S. M. R. Micheletti, J. Cosmol. Astropart. Phys. 05 (2010)009.

[56] Q. G. Huang and Y. G. Gong, J. Cosmol. Astropart. Phys. 08(2004) 006.

[57] P. Mukherjee, A. Mukherjee, H. Jassal, A. Dasgupta, and N.Banerjee, Eur. Phys. J. Plus 134, 147 (2019).

[58] S. Nojiri and S. Odintsov, Eur. Phys. J. C 77, 528 (2017).

[59] M. Sharif and S. Saba, Symmetry 11, 92 (2019).

[60] A. Jawad, K. Bamba, M. Younas, S. Qummer, and S. Rani, Symmetry 10, 635 (2018).

[61] A. Bolaños, M. Cruz, S. Lepe, and R. Márquez, arXiv:2105.12766.

[62] L. N. Granda, Int. J. Mod. Phys. D 28, 1950052 (2019).

[63] G. Chakraborty and S. Chattopadhyay, Int. J. Mod. Phys. D 29, 2050024 (2020).

[64] T. Paul, Europhys. Lett. 127, 20004 (2019).

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

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

[67] A. Majhi, Phys. Lett. B 775, 32 (2017).

[68] K. Mejrhit and S. E. Ennadifi, Phys. Lett. B 794, 45 (2019).

[69] Y. Liu, Europhys. Lett. (2021).

[70] O. J. Veraguth and C. H. T. Wang, Phys. Rev. D 96, 084011 (2017).

[71] C. H. T. Wang and D. P. F. Rodrigues, Phys. Rev. D 98, 124041 (2018).

[72] C. H. T. Wang and M. Stankiewicz, Phys. Lett. B 800, 135106 (2020).

[73] C. M. Will, Theory and Experiment in Gravitational Phys- ics, 2nd ed. (Cambridge University Press, Cambridge, England, 2018).

[74] C. M. Will, Living Rev. Relativity 17, 4 (2014).

[75] C. Gao, Phys. Rev. D 86, 103512 (2012).

[76] N. R. Bertini, N. Bilic, and D. C. Rodrigues, Phys. Rev. D105, 023509 (2022).

[77] S. Nojiri, S. D. Odintsov, and T. Paul, Symmetry 13, 928 (2021).

[78] S. Nojiri, S. D. Odintsov, and T. Paul, Phys. Lett. B 825, 136844 (2022).

[79] T. Padmanabhan, Rep. Prog. Phys. 73, 046901 (2010).

[80] R. G. Cai and S. P. Kim, J. High Energy Phys. 02 (2005) 050.

[81] K. Bamba, S. Capozziello, S. Nojiri, and S. D. Odintsov, Astrophys. Space Sci. 342, 155 (2012).

[82] A. G. Riess, S. Casertano, W. Yuan, J. B. Bowers, L. Macri,J. C. Zinn, and D. Scolnic, Astrophys. J. Lett. 908, L6 (2021).

[83] N. Aghanim et al. (Planck Collaboration), Astron. Astrophys.641, A6 (2020).