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The mass inflation phenomenon implies that black hole interiors are unstable due to a back-reaction divergence of the perturbed black hole mass function at the Cauchy horizon. Weak point in the standard mass inflation calculations is in a…

General Relativity and Quantum Cosmology · Physics 2014-03-05 Vyacheslav I. Dokuchaev

This article investigates the phenomenon of mass inflation and its consequential impact on the stability of Cauchy horizons within the framework of general relativity. Mass inflation, defined by an exponential surge in energy, is pivotal in…

General Physics · Physics 2024-02-29 Wen-Xiang Chen

We study gravitational collapse of a charged black hole in f(R) gravity using double-null formalism. We require cosmological stability to f(R) models; we used the Starobinsky model and the R + (1/2)cR^2 model. Charged black holes in f(R)…

General Relativity and Quantum Cosmology · Physics 2015-05-30 Dong-il Hwang , Bum-Hoon Lee , Dong-han Yeom

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

The structure of the Cauchy horizon of a charged rotating black hole is analyzed under the combined effect of an ingoing and outgoing flux of gravitational waves. In particular, by means of an axisymmetric realization of the Ori model, the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Alfio Bonanno

We investigate the phenomenon of mass inflation in the interior of regular black holes arising in quasitopological gravity (QTG). These geometries are characterized by a bounded curvature core and the presence of an inner (Cauchy) horizon…

General Relativity and Quantum Cosmology · Physics 2026-04-06 Valeri P. Frolov , Andrei Zelnikov

Mass inflation is a well established instability, conventionally associated to Cauchy horizons (which are also inner trapping horizons) of stationary geometries, leading to a divergent exponential buildup of energy. We show here that finite…

General Relativity and Quantum Cosmology · Physics 2024-02-26 Raúl Carballo-Rubio , Francesco Di Filippo , Stefano Liberati , Matt Visser

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

Using the canonical formalism for spherically symmetric black hole inside the apparent horizon we investigate the mass inflation in the Reissner-Nordstr$\ddot o$m black hole in the framework of quantum gravity. It is shown that like in…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ichiro Oda

A feature shared by many regular black hole spacetimes is the occurrence of a Cauchy horizon. It is then commonly believed that this renders the geometry unstable against perturbations through the mass-inflation effect. In this work, we…

General Relativity and Quantum Cosmology · Physics 2023-01-18 Alfio Bonanno , Amir-Pouyan Khosravi , Frank Saueressig

We analyse the geometry of a spherically symmetric black hole with an inner and outer apparent horizon which is perturbed by spherical null shells of matter. On a classical level we observe that the mass inflation instability is triggered,…

General Relativity and Quantum Cosmology · Physics 2022-12-14 Carlos Barceló , Valentin Boyanov , Raúl Carballo-Rubio , Luis J. Garay

We study the inner-structure of a charged black-hole which is formed from the gravitational collapse of a self-gravitating charged scalar-field. Starting with a regular spacetime, we follow the evolution through the formation of an apparent…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Shahar Hod , Tsvi Piran

Gravitational perturbations which are present in any realistic stellar collapse to a black hole, die off in the exterior of the hole, but experience an infinite blueshift in the interior. This is believed to lead to a slowly contracting…

General Relativity and Quantum Cosmology · Physics 2016-08-24 S. Droz

Mass inflation is a phenomenon happened in the vicinity of inner horizon in two-horizon spacetime. It is shown that the mass of initially small perturbations will grow exponentially as they approach the inner horizon. This implies that…

General Relativity and Quantum Cosmology · Physics 2026-05-07 Changjun Gao , Toktarbay Saken

We analytically derive a class of non-singular, static and spherically symmetric topological black hole metrics inF(R)-gravity. These have not a de Sitter core at their centre, as most model in standard General Relativity. We study the…

General Relativity and Quantum Cosmology · Physics 2021-07-07 Manuel Bertipagani , Massimiliano Rinaldi , Lorenzo Sebastiani , Sergio Zerbini

The interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory is analyzed. It is found that in contrast to the Abelian case generically no inner (Cauchy) horizon is formed inside non-Abelian…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Breitenlohner , George Lavrelashvili , Dieter Maison

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

The singularity structure of charged spherical collapse is studied by considering the evolution of the gravity-scalar field system. A detailed examination of the geometry at late times strongly suggests the validity of the mass-inflation…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Patrick R. Brady , John D. Smith

It has long been suggested that the Cauchy horizon of dynamical black holes is subject to a weak null singularity, under the mass inflation scenario. We study in spherical symmetry the Einstein-Maxwell-Klein-Gordon equations and…

General Relativity and Quantum Cosmology · Physics 2021-02-03 Maxime Van de Moortel

Unlike generic models of regular black holes (BHs) with nonzero surface gravity on both Cauchy and event horizons, an inner-degenerate counterpart with zero Cauchy horizon surface gravity was recently proposed. For this regular BH solution…

General Relativity and Quantum Cosmology · Physics 2024-08-30 Mohsen Khodadi , Javad T. Firouzjaee
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