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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 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

We study the inner dynamics of accreting Eddington-inspired Born-Infeld black holes using the homogeneous approximation and taking charge as a surrogate for angular momentum. We show that there is a minimum of the accretion rate below which…

General Relativity and Quantum Cosmology · Physics 2016-06-01 P. P. Avelino

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

We investigate the interior dynamics of accreting black holes in Eddington-inspired Born-Infeld gravity using the homogeneous approximation and taking charge as a surrogate for angular momentum, showing that accretion can have an enormous…

General Relativity and Quantum Cosmology · Physics 2016-03-02 P. P. Avelino

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

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

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

A detailed non-linear analysis of the internal structure of spherical, charged black holes that are accreting scalar matter is performed in the framework of the Brans-Dicke theory of gravity. We choose the lowest value of the Brans-Dicke…

General Relativity and Quantum Cosmology · Physics 2010-05-12 P. P. Avelino , A. J. S. Hamilton , C. A. R. Herdeiro

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

In this paper, we demonstrate that a phenomenon described as "topological inflation" during which inflation occurs inside the core of topological defects, has a non-topological counterpart. This appears in a simple set-up containing…

General Relativity and Quantum Cosmology · Physics 2020-10-30 Y. Brihaye , F. Cônsole , B. Hartmann

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

We study the null junction conditions in (re-summed) quasi-topological gravity theories, showing that no null thin shells exist within the realms of standard distributional theory for the pure gravity regular black hole solutions we have…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Francesco Di Filippo , David Kubiznak , Aravindhan Srinivasan

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

In classical general relativity the Cauchy horizon within a two-horizon black hole is unstable via a phenomenon known as mass inflation, in which the mass parameter (and the spacetime curvature) of the black hole diverges at the Cauchy…

General Relativity and Quantum Cosmology · Physics 2013-05-29 Eric G. Brown , Robert B. Mann , Leonardo Modesto

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

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

(Abridged) This is the second of two companion papers on the interior structure of self-similar accreting charged black holes. In the first paper, the black hole was allowed to accrete only a single fluid of charged baryons. In this second…

General Relativity and Quantum Cosmology · Physics 2010-05-12 Andrew J. S. Hamilton , Scott E. Pollack

Recently it was shown that essentially all regular black hole models constructed so far can be obtained as solutions of vacuum gravity equations, upon considering an infinite series of quasi-topological higher curvature corrections. Here we…

General Relativity and Quantum Cosmology · Physics 2026-03-31 Francesco Di Filippo , Ivan Kolář , David Kubiznak

We analyze the interior geometry of static, spherically symmetric black holes of the Einstein-Yang-Mills-Higgs theory. Generically the solutions exhibit a behaviour that may be described as ``mass inflation'', although with a remarkable…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Peter Breitenlohner , George Lavrelashvili , Dieter Maison
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