Abstract
The Painlevé–Gullstrand coordinates allow us to explore the interior of the regular Hayward black hole. The behavior of an infalling particle in traversing the Hayward black hole is compared with the one inside the Schwarzschild and Reissner–Nordstrom singular black holes. When approaching the origin the test particle trajectories present differences depending if the center is regular or singular. The velocities of the infalling test particle into the modified Hayward black hole are analyzed as well. As compared with the normal Hayward, in the modified Hayward black hole the particle moves faster and the surface gravity is smaller.
Similar content being viewed by others
References
Ashtekar, A., Pawlowski, T., Singh, P.: Quantum nature of the big bang. Phys. Rev. Lett. 96, 141301 (2006). arXiv:gr-qc/0602086
Ashtekar, A., Pawlowski, T., Singh, P., Vandersloot, K.: Loop quantum cosmology of \(k=1\) FRW models. Phys. Rev. D 75, 024035 (2007). arXiv:gr-qc/0612104
Goswami, R., Joshi, P.S., Singh, P.: Quantum evaporation of a naked singularity. Phys. Rev. Lett. 96, 031302 (2006). arXiv:gr-qc/0506129
Kawai, S., Keski-Vakkuri, E., Leigh, R.G., Nowling, S.: Brane decay and an initial spacelike singularity. Phys. Rev. Lett. 96, 031301 (2006). arXiv:hep-th/0507163
Dai, D.-C., Lue, A., Starkmanb, G., Stojkovica, D.: Electroweak stars: how nature may capitalize on the standard model’s ultimate fuel. JCAP 2010(12), 004. arXiv:0912.0520
Rovelli, C., Vidotto, F.: Planck stars. Int. J. Mod. Phys. D 23(1442026), 11 (2014). arXiv:1401.6562
Bardeen, J.: In: Proceedings of the 5th International Conference on Gravitation and the Theory of Relativity. Tbilisi, Georgia. 913 September 1968. Tbilisi University Press, Tbilisi (1968)
Mbonye, M.R., Kazanas, D.: Nonsingular black hole model as a possible product of gravitational collapse. Phys. Rev. D 72, 024016 (2005). arXiv:gr-qc/0506111
Spallucci, E., Smailagic, A.: Regular black holes from semi-classical down to Planckian size. Int. J. Mod. Phys. D 26, 1730013 (2017). arXiv:1701.04592
Pérez, D., Romero, G.E., Correa, C.A., Perez Bergliaffa, S.E.: Analysis of a regular black hole interior. Int. J. Mod. Phys. Conf. Ser. 03, 396–407 (2011). arXiv:1111.0690
Martel, K., Poisson, E.: Regular coordinate systems for Schwarzschild and other spherical spacetimes. Am. J. Phys. 69, 476–480 (2001). arXiv:gr-qc/0001069
Hayward, S.A.: Formation and evaporation of nonsingular black holes. Phys. Rev. Lett. 96, 031103 (2006). arXiv:gr-qc/0506126
De Lorenzo, T., Pacilio, C., Rovelli, C., Speziale, S.: On the effective metric of a planck star. Gen. Relativ. Gravit. 47, 41 (2015). arXiv:1412.6015
Mehdipour, S.H., Ahmadi, M.H.: Black hole remnants in Hayward solutions and noncommutative effects. Nucl. Phys. B 926, 4969 (2018). arXiv:1604.08584
Chiba, T., Kimura, M.: A note on geodesics in the hayward metric. Prog. Theor. Exp. Phys. 2017 04E01. arXiv:1701.04910
Hamilton, A.J.S., Lisle, J.P.: The river model of black holes. Am. J. Phys. 76, 519–532 (2008). arXiv:gr-qc/0411060
Liberati, S., Sonego, S., Visser, M.: Faster-than-c signals, special relativity, and causality. Ann. Phys. 298, 167185 (2002). arXiv:gr-qc/0107091
Blau, M., O’Loughlin, M.: Horizon shells: classical structure at the horizon of a black hole. Int. J. Mod. Phys. D 25, 1644010 (2016). arXiv:1604.01181
Poisson, E.: A Relativist’s Toolkit. Cambridge University Press, Cambridge (2004). Sect. 5.3.2
Poisson, E., Israel, W.: Internal structure of black holes. Phys. Rev. D 41, 1796–1809 (1990)
Hamilton, A.J.S., Pollack, S.E.: Inside charged black holes. I. Baryons Phys. Rev. D 71, 084031 (2005). arXiv:gr-qc/0411061
Nielsen, A.B., Visser, M.: Production and decay of evolving horizons. Class. Quantum Grav. 23, 4637–4658 (2006). arXiv:gr-qc/0510083
Debnath, U.: Accretion and evaporation of modified Hayward black hole. Eur. Phys. J. C 75(129), 5 (2015). arXiv:1503.01645
Haggard, H.M., Rovelli, C.: Quantum-gravity effects outside the horizon spark black to white hole tunneling. Phys. Rev. D 92, 104020 (2015). arXiv:1407.0989
Acknowledgements
Ivan Perez-Roman acknowledges support by CONACYT through a Ms. S. scholarship. Nora Bretón acknowledges partial support by CONACYT Grant 284489.
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Perez-Roman, I., Bretón, N. The region interior to the event horizon of the regular Hayward black hole. Gen Relativ Gravit 50, 64 (2018). https://doi.org/10.1007/s10714-018-2385-1
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/s10714-018-2385-1