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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

Analytical formulas are presented describing a generic singularity inside the static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills-Higgs theories with triplet or doublet Higgs field. The singularity is spacelike and…

General Relativity and Quantum Cosmology · Physics 2009-10-30 D. V. Gal'tsov , E. E. Donets

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

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 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

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

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

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

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

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

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

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

Recent results concerning the internal structure of static spherically-symmetric non-Abelian black holes in the Einstein-Yang-Mills (EYM) theory and its generalizations including scalar fields are reviewed and discussed with an emphasis on…

High Energy Physics - Theory · Physics 2007-05-23 D. V. Gal'tsov , E. E. Donets , M. Yu. Zotov

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 derive a class of inner-extremal regular black hole solutions characterized by a degenerate inner horizon. These geometries arise as polymerized vacuum configurations inspired by loop quantum gravity and constitute effective…

General Relativity and Quantum Cosmology · Physics 2026-05-01 Hongguang Liu , Ioannis Soranidis

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

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

Classical singularities inside black holes in the Einstein-Yang-Mills theory exhibit unusual features. Only for discrete values of the black hole mass one encounters singularities of the Schwarzschild type (timelike) and the…

General Relativity and Quantum Cosmology · Physics 2017-08-23 D. V. Gal'tsov

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

The well-known instability of the inner horizon of a Reissner-Nordstr\"om black hole, first suggested by Simpson and Penrose, although studied extensively, has remained illusive so far as several studies led to varied conclusions about the…

General Relativity and Quantum Cosmology · Physics 2024-12-20 Nihar Ranjan Ghosh , Malay K. Nandy
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