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Regular black holes represent a conservative model in which the classical singularity is replaced by a non-singular core without necessarily modifying the spacetime outside the trapping horizon. Given the possible lack of phenomenological…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Francesco Di Filippo , Raúl Carballo-Rubio , Stefano Liberati , Costantino Pacilio , Matt Visser

Generic models of regular black holes have separate outer and inner horizons, both with nonzero surface gravity. It has been shown that a nonzero inner horizon surface gravity results in exponential instability at the inner horizon…

General Relativity and Quantum Cosmology · Physics 2022-09-28 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

Non-singular black hole geometries typically come with two spacetime horizons: an (outer) event horizon and an (inner) Cauchy horizon. This nurtures the speculation that they may be subject to a mass-inflation effect which renders the…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Amir-Pouyan Khosravi , Frank Saueressig

A common feature of regular black hole spacetimes is the presence of an inner Cauchy horizon. The analogy to the Reissner-Nordstr\"om solution then suggests that these geometries suffer from a mass-inflation effect, rendering the Cauchy…

General Relativity and Quantum Cosmology · Physics 2025-07-08 Alfio Bonanno , Antonio Panassiti , Frank Saueressig

Black holes encountered in general relativity are characterized by spacetime singularities hidden within an event horizon. These singularities provide a key motivation to go beyond general relativity and look for regular black holes where…

General Relativity and Quantum Cosmology · Physics 2022-11-18 Alfio Bonanno , Frank Saueressig

Regular black holes are generically unstable because of the classical phenomenon that goes by the name of "mass inflation" which destabilizes the inner horizon. In a recent article, [Phys.Rev.D~107~(2023)~2,~024005], it is argued that…

General Relativity and Quantum Cosmology · Physics 2024-06-04 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Costantino Pacilio , Matt Visser

Analyzing exact solutions of the Einstein-Maxwell equations in the Kerr-Schild formalism we show that black hole horizon is instable with respect to electromagnetic excitations. Contrary to perturbative smooth harmonic solutions, the exact…

General Relativity and Quantum Cosmology · Physics 2010-03-18 Alexander Burinskii

The construction of black hole spacetimes that are regular (singularity-free) is plagued by the "mass inflation" instability, a classical perturbation instability induced by the surface gravity at the inner horizon and characterized by…

General Relativity and Quantum Cosmology · Physics 2023-06-27 Tyler McMaken

We analyse the stability of the inner horizon of the quantum-corrected black hole which is proposed in loop quantum gravity as the exterior of the quantum Oppenheimer-Snyder and Swiss Cheese models. It is shown that the flux and energy…

General Relativity and Quantum Cosmology · Physics 2024-05-16 Li-Ming Cao , Long-Yue Li , Liang-Bi Wu , Yu-Sen Zhou

A large class of stationary, non-rotating black hole metrics is proposed, in which the interior is regular with a core consisting of a condensate of Higgs and $Z$ bosons generated from the nuclear binding energy of the initial H atoms.…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Theo M. Nieuwenhuizen

We consider Einstein gravity extended with Riemann-squared term and construct the leading-order perturbative solution to the rotating black hole with all equal angular momenta in $D=7$. We find that in the extremal limit, the linear…

High Energy Physics - Theory · Physics 2023-07-28 Qi-Yuan Mao , Liang Ma , H. Lu

Black hole solutions in general relativity come with pathologies such as singularity and mass inflation instability, which are believed to be cured by a yet-to-be-found quantum theory of gravity. Without such consistent description, one may…

General Relativity and Quantum Cosmology · Physics 2023-02-14 Rajes Ghosh , Mostafizur Rahman , Akash K Mishra

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

General Relativity and Quantum Cosmology · Physics 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

We present a rotating regular black hole whose inner horizon has zero surface gravity for any value of the spin parameter, and is therefore stable against mass inflation. Our metric is built by combining two successful strategies for…

General Relativity and Quantum Cosmology · Physics 2024-03-08 Edgardo Franzin , Stefano Liberati , Jacopo Mazza , Vania Vellucci

Classical black holes shield us from the singularities that inevitably appear in general relativity. Being singularity regularization one of the main landmarks for a successful theory of quantum gravity, quantum black holes are not obliged…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati

Recent advances in the observation of black-hole candidates have renewed interest in probing their near-horizon structure and in searching for departures from the standard singular solutions of general relativity. In this context,…

General Relativity and Quantum Cosmology · Physics 2026-04-13 Valentin Pomakov , Stefano Liberati

We construct a static spherically symmetric regular black hole with a Minkowski core, and a degenerate inner horizon with vanishing surface gravity. The spacetime contains a non-extremal outer horizon and exhibits two notable features.…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Zhong-Wen Feng , Hong-Lin Liu , Yi Ling , Qing-Quan Jiang

We study the nature of the inner Cauchy horizon of a Reissner-Nordstr\"om black hole in a quantum context by means of the horizon wave-function obtained from modelling the electrically charged source as a Gaussian wave-function. Our main…

General Relativity and Quantum Cosmology · Physics 2015-04-29 Roberto Casadio , Octavian Micu , Dejan Stojkovic

Non-commutative geometries have been proposed as an approach to quantum gravity and have led to the construction of non-commutative black holes, whose interior singularities are purportedly eliminated due to quantum effects. Here we find…

High Energy Physics - Theory · Physics 2015-05-20 Eric Brown , Robert B. Mann

We consider black holes generically sourced by quantum matter described by regular wavefunctions. This allows for integrable effective energy densities and the removal of Cauchy horizons in spherically symmetric configurations. Moreover, we…

General Relativity and Quantum Cosmology · Physics 2023-05-31 Roberto Casadio , Andrea Giusti , Jorge Ovalle
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