New models of d-dimensional black holes without inner horizon and with an integrable singularity
Abstract: Theoretically, it has been proposed that objects traveling radially along regular black holes (RBHs) would not be destroyed because of finite tidal forces and the absence of a singularity. However, the matter source allows the creation of an inner horizon linked to an unstable de Sitter core due to mass inflation instability. This inner horizon also gives rise to the appearance of a remnant, inhibiting complete evaporation. We introduce here a $d$-dimensional black hole model with Localized Sources of Matter (LSM), characterized by the absence of an inner horizon and featuring a central integrable singularity instead of an unstable de Sitter core. In our model, any object tracing a radial and timelike world-line would not be crushed by the singularity. This is attributed to finite tidal forces, the extendability of radial geodesics, and the weak nature of the singularity. Our LSM model enables the potential complete evaporation down to $r_h=0$ without forming a remnant. In higher dimensions, complete evaporation occurs through a phase transition, which could occur at Planck scales and be speculatively driven by the Generalized Uncertainty Principle (GUP). Unlike RBHs, our model satisfies the energy conditions. We demonstrate a linear correction to the conventional area law of entropy, distinct from the RBH's correction. Additionally, we investigate the stability of the solutions through the speed of sound.
- Roberto Casadio, Andrea Giusti, and Jorge Ovalle, “Quantum rotating black holes,” JHEP 05, 118 (2023), arXiv:2303.02713 [gr-qc] .
- B. P. Abbott et al. (LIGO Scientific, Virgo), “Observation of Gravitational Waves from a Binary Black Hole Merger,” Phys. Rev. Lett. 116, 061102 (2016), arXiv:1602.03837 [gr-qc] .
- I. Dymnikova, “Vacuum nonsingular black hole,” Gen. Rel. Grav. 24, 235–242 (1992).
- Tommaso De Lorenzo, Costantino Pacilio, Carlo Rovelli, and Simone Speziale, “On the Effective Metric of a Planck Star,” Gen. Rel. Grav. 47, 41 (2015), arXiv:1412.6015 [gr-qc] .
- Rodrigo Aros and Milko Estrada, “Regular black holes and its thermodynamics in Lovelock gravity,” Eur. Phys. J. C 79, 259 (2019), arXiv:1901.08724 [gr-qc] .
- Milko Estrada and Rodrigo Aros, “Regular black holes with Λ>0Λ0\Lambda>0roman_Λ > 0 and its evolution in Lovelock gravity,” Eur. Phys. J. C 79, 810 (2019), arXiv:1906.01152 [gr-qc] .
- Milko Estrada and Rodrigo Aros, “A new class of regular Black Holes in Einstein Gauss Bonnet gravity with localized sources of matter,” Phys. Lett. B 844, 138090 (2023), arXiv:2305.17233 [gr-qc] .
- Milko Estrada and Francisco Tello-Ortiz, “A new model of regular black hole in (2+1) dimensions,” EPL 135, 20001 (2021), arXiv:2012.05068 [gr-qc] .
- R. V. Maluf, C. R. Muniz, A. C. L. Santos, and Milko Estrada, “A new class of regular black hole solutions with quasi-localized sources of matter in (2+1) dimensions,” Phys. Lett. B 835, 137581 (2022), arXiv:2208.13063 [gr-qc] .
- S. H. Hendi, S. Hajkhalili, and S. Mahmoudi, “Thermodynamic stability of a new three dimensional regular black hole,” Fortschritte der Physik n/a, 2200101 (2023), arXiv:2204.11558 [gr-qc] .
- Jorge Ovalle, “Black holes without Cauchy horizons and integrable singularities,” Phys. Rev. D 107, 104005 (2023), arXiv:2305.00030 [gr-qc] .
- Eric Poisson and W. Israel, “Internal structure of black holes,” Phys. Rev. D 41, 1796–1809 (1990).
- Eric G. Brown, Robert B. Mann, and Leonardo Modesto, “Mass Inflation in the Loop Black Hole,” Phys. Rev. D 84, 104041 (2011), arXiv:1104.3126 [gr-qc] .
- Raúl Carballo-Rubio, Francesco Di Filippo, Stefano Liberati, Costantino Pacilio, and Matt Visser, “Regular black holes without mass inflation instability,” JHEP 09, 118 (2022), arXiv:2205.13556 [gr-qc] .
- Alfio Bonanno, Amir-Pouyan Khosravi, and Frank Saueressig, “Regular black holes with stable cores,” Phys. Rev. D 103, 124027 (2021), arXiv:2010.04226 [gr-qc] .
- Raúl Carballo-Rubio, Francesco Di Filippo, Stefano Liberati, Costantino Pacilio, and Matt Visser, “On the viability of regular black holes,” JHEP 07, 023 (2018), arXiv:1805.02675 [gr-qc] .
- Francesco Di Filippo, Raúl Carballo-Rubio, Stefano Liberati, Costantino Pacilio, and Matt Visser, “On the Inner Horizon Instability of Non-Singular Black Holes,” Universe 8, 204 (2022), arXiv:2203.14516 [gr-qc] .
- Piero Nicolini, “How strings can explain regular black holes,” (2023) arXiv:2306.01480 [gr-qc] .
- Nicolás Morales-Durán, Andrés F. Vargas, Paulina Hoyos-Restrepo, and Pedro Bargueño, “Simple regular black hole with logarithmic entropy correction,” Eur. Phys. J. C 76, 559 (2016), arXiv:1606.06635 [gr-qc] .
- Dharm Veer Singh, Sushant G. Ghosh, and Sunil D. Maharaj, “Exact nonsingular black holes and thermodynamics,” Nucl. Phys. B 981, 115854 (2022).
- Metin Gurses and Emre Sermutlu, “Static spherically symmetric solutions to Einstein-Maxwell dilaton field equations in D-dimensions,” Class. Quant. Grav. 12, 2799–2817 (1995), arXiv:hep-th/9509076 .
- Arthur Komar, “Covariant conservation laws in general relativity,” Phys. Rev. 113, 934–936 (1959).
- Rodrigo Aros, Mauricio Contreras, Rodrigo Olea, Ricardo Troncoso, and Jorge Zanelli, “Conserved charges for even dimensional asymptotically AdS gravity theories,” Phys. Rev. D 62, 044002 (2000), arXiv:hep-th/9912045 .
- Barun Majumder, “Black Hole Entropy and the Modified Uncertainty Principle: A heuristic analysis,” Phys. Lett. B 703, 402–405 (2011), arXiv:1106.0715 [gr-qc] .
- Giovanni Amelino-Camelia, Michele Arzano, Yi Ling, and Gianluca Mandanici, “Black-hole thermodynamics with modified dispersion relations and generalized uncertainty principles,” Class. Quant. Grav. 23, 2585–2606 (2006), arXiv:gr-qc/0506110 .
- Hui-Ling Li, De-Wen Song, and Wei Li, “Phase transition and entropy correction of a quantum correction black hole close,” Gen. Rel. Grav. 51, 20 (2019).
- Alex Simpson and Matt Visser, “Black-bounce to traversable wormhole,” Journal of Cosmology and Astroparticle Physics 2019, 042–042 (2019).
- Xue-Mei Deng, “Geodesics and periodic orbits around quantum-corrected black holes,” Physics of the Dark Universe 30, 100629 (2020).
- Anas El Balali, “Quantum Schwarzschild Black Hole Optical Aspects,” (2023), arXiv:2310.09829 [gr-qc] .
Paper Prompts
Sign up for free to create and run prompts on this paper using GPT-5.
Top Community Prompts
Collections
Sign up for free to add this paper to one or more collections.
