Revisiting the nonsingular black holes in the 4-dimensional regularized Lovelock gravity

The European Physical Journal Plus - Tập 137 - Trang 1-11 - 2022
S. Habib Mazharimousavi1
1Department of Physics, Faculty of Arts and Sciences, Eastern Mediterranean University, Famagusta, Turkey

Tóm tắt

Static, spherically symmetric nonsingular/regular black holes in the vacuum 4-dimensional Lovelock gravity are revisited. We follow the footsteps of Changjun Gao et al in their recent work (Gao et al. in Phys Dark Univ 31:100754, 2021) where they introduced nonsingular black holes in regularized Lovelock gravity and studied their physical properties. In addition to what already has been done, we introduce conditions to be satisfied by any nonsingular black hole. Unfortunately, the nonsingular black holes introduced in Gao et al. (Phys Dark Univ 31:100754, 2021) do not fulfill these conditions and therefore are actually singular. We also give an example of a regular black hole in 4-dimensional infinite-order Lovelock gravity which can be considered as an alternative to the Schwarzschild black hole. It is shown that this black hole is thermally stable.

Tài liệu tham khảo

K. Schwarzschild, Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.) 1916, 189 (1916) (see arXiv:physics/9905030) J. M. Bardeen, Proc. Int. Conf. GR5, Tbilisi, USSR, 174 (1968) I. Dymnikova, Gen. Relativ. Gravit. 24, 235 (1992) I. Dymnikova, Int. J. Mod. Phys. D 5, 529 (1996) I. Dymnikova, Class. Quantum Grav. 19, 725 (2002) I. Dymnikova, Int. J. Mod. Phys. D 12, 1015 (2003) M. Mars, M.M. Martın-Prats, J.M.M. Senovilla, Class. Quantum Grav. 13, L51 (1996) A. Borde, Phys. Rev. D 55, 7615 (1997) E. Ayon-Beato, A. Garcia, Phys. Rev. Lett. 80, 5056 (1998) C. Barrabès, V.P. Frolov, Phys. Rev. D 53, 3215 (1996) M.R. Mbonye, D. Kazanas, Phys. Rev. D 72, 024016 (2005) W. Berej, J. Matyjasek, D. Tryniecki et al., Gen. Rel. Grav. 38, 885 (2006) K. Lin, J. Li, S. Yang et al., Int. J. Theor. Phys. 52, 1013 (2013) M.E. Rodrigues, E.L.B. Junior, G.T. Marques et al., Phys. Rev. D 94, 024062 (2016); [Addendum: Phys. Rev.D, 94(4): 049904(2016)]; E. Ayon-Beato, A. Garcıa, Gen. Relativ. Gravit. 37, 635 (2005) K.A. Bronnikov, H. Dehnen, V.N. Melnikov, Gen. Relativ. Gravit. 39, 973 (2007) K.A. Bronnikov, J.C. Fabris, Phys. Rev. Lett. 96, 251101 (2006) J.J. van der Bij, E. Radu, Nucl. Phys. B 585, 637 (2000) J. Matyjasek, Phys. Rev. D 70, 047504 (2004) D. Horvat, S. Ilijić, Z. Narančić, Class. Quantum Grav. 22, 3817 (2005) W. Berej, J. Matyjasek, D. Tryniecki, M. Woronowicz, Gen. Relativ. Gravit. 38, 885 (2006) N. Uchikata, S. Yoshida, T. Futamase, Phys. Rev. D 86, 084025 (2012) M. Azreg-Aïnou, Phys. Rev. D 90, 064041 (2014) L. Balart, E.C. Vagenas, Phys. Rev. D 90, 124045 (2014) E. Ayon-Beato, A. Garcia, Phys. Lett. B 493, 149 (2000) K.A. Bronnikov, Phys. Rev. D 63, 044005 (2001) D. Glavan, C. Lin, Phys. Rev. Lett. 124, 081301 (2020) U. Papnoi, F. Atamurotov, Phys. Dark Univ. 35, 100916 (2022) M.Y. Ghodsi, A. Behnamfard, S. Fakhry, J.T. Firouzjaee, Phys. Dark Univ. 35, 100918 (2022) N. Godani, D. Veer Singh, G.C. Samanta, Phys. Dark Univ. 35, 100952 (2022) R. Xu, Y. Gao, L. Shao, Phys. Rev. D 105, 024003 (2022) L.-M. Cao, L.-B. Wu, Eur. Phys. J. C 82, 124 (2022) J.M.Z. Pretel, A. Banerjee, A. Pradhan, Eur. Phys. J. C 82, 180 (2022) Y.-M. Huang, Y. Tian, X.-N. Wu, Eur. Phys. J. C 82, 183 (2022) P.G.S. Fernandes, P. Carrilho, T. Clifton, D.J. Mulryne, Class. Quantum Grav. 39, 063001 (2022) C. Gao, S. Yu, J. Qiu, Phys. Dark Univ. 31, 100754 (2021) D. Lovelock, J. Math. Phys. 12, 498 (1971) D.G. Boulware, S. Deser, Phys. Rev. Lett. 55, 2656 (1985) J.T. Wheeler, Nucl. Phys. B 273, 732 (1986) J.T. Wheeler, Nucl. Phys. B 268, 737 (1986) D.L. Wiltshire, Phys. Lett. B 169, 36 (1986) R.G. Cai, Phys. Rev. D 65, 084014 (2002) S.A. Hayward, Phys. Rev. Lett. 96, 031103 (2006) G. Kunstatter, H. Maeda, T. Taves, Class. Quantum Grav. 33, 105005 (2016) P.C.W. Davies, Rep. Prog. Phys. 41, 1313 (1978) P.C.W. Davies, Proc. R. Soc. Lond. A 353, 499 (1977)