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It was believed that when gravitational, electromagnetic and scalar waves interact, a spacelike curvature singularity or Cauchy horizon develops because of mutual focusing. We show with an exact solution that the collision of…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Ozay Gurtug , Mustafa Halilsoy

The semiclassical geometry of charged black holes is studied in the context of a two-dimensional dilaton gravity model where effects due to pair-creation of charged particles can be included in a systematic way. The classical mass-inflation…

High Energy Physics - Theory · Physics 2008-11-26 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

The fate of Cauchy horizons, such as those found inside charged black holes, is intrinsically connected to the decay of small perturbations exterior to the event horizon. As such, the validity of the strong cosmic censorship (SCC)…

General Relativity and Quantum Cosmology · Physics 2018-01-24 Vitor Cardoso , Joao L. Costa , Kyriakos Destounis , Peter Hintz , Aron Jansen

We consider Reissner-Nordstr\"{o}m black holes surrounded by quintessence where both a non-extremal event horizon and a cosmological horizon exist besides an inner horizon ($-1\leq \omega <-1/3$). We determine new extreme black hole…

General Relativity and Quantum Cosmology · Physics 2015-01-30 Mustapha Azreg-Aïnou

In this letter, we present a novel exact scalar quasibound states solutions in the extremal Reissner-Norstr\"om black hole background. We start with the construction of the governing covariant relativistic scalar field equation, the…

General Relativity and Quantum Cosmology · Physics 2025-01-06 David Senjaya , Supakchai Ponglertsakul

We prove a uniqueness theorem for the charged Nariai black holes and ultracold black holes in four dimensions. In particular, we show that an analytic solution to four-dimensional Einstein-Maxwell theory with a positive cosmological…

General Relativity and Quantum Cosmology · Physics 2024-09-30 David Katona

We study the causal structure of dynamical charged black holes, with a sufficient number of massless fields, using numerical simulations. Neglecting Hawking radiation, the inner horizon is a null Cauchy horizon and a curvature singularity…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Sungwook E. Hong , Dong-il Hwang , Ewan D. Stewart , Dong-han Yeom

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

It is known that NUT solution has many interesting features and pathologies like being non-singular and having closed timelike curves. It turns out that in higher dimensions horizon topology cannot be spherical but it has instead to be…

General Relativity and Quantum Cosmology · Physics 2023-01-11 Sajal Mukherjee , Naresh Dadhich

If cosmological constant is positive, a black hole is naturally described by the Schwarzschild-de Sitter solution with two horizons. We use the global method to extract the topological information and the selection rule for the…

High Energy Physics - Theory · Physics 2007-05-23 Feng-Li Lin

Recently, it was found that the energy flux of a free scalar quantum field on a Reissner-Nordstr\"om-de Sitter spacetime has a quadratic divergence towards the inner horizon of the black hole. Moreover, the leading divergence was found to…

General Relativity and Quantum Cosmology · Physics 2024-03-11 Peter Hintz , Christiane Klein

We propose a simple method to prove non-smoothness of a black hole horizon. The existence of a $C^1$ extension across the horizon implies that there is no $C^{N + 2}$ extension across the horizon if some components of $N$-th covariant…

General Relativity and Quantum Cosmology · Physics 2015-06-22 Masashi Kimura , Hideki Ishihara , Ken Matsuno , Takahiro Tanaka

The recently proposed effective equation of motion for the $4D$- Einstein-Gauss-Bonnet gravity admits a static black hole solution that has, like the Rissner-Nordstr\"{o}m charged black hole, two horizons instead of one for the…

General Relativity and Quantum Cosmology · Physics 2020-09-14 Naresh Dadhich

We study interior of a charged, non-rotating distorted black hole. We consider static and axisymmetric black holes, and focus on a special case when an electrically charged distorted solution is obtained by the Harrison-Ernst transformation…

General Relativity and Quantum Cosmology · Physics 2010-04-14 Shohreh Abdolrahimi , Valeri P. Frolov , Andrey A. Shoom

In this paper, we consider $F(R)=R+f(R)$ theory instead of Einstein gravity with conformal anomaly and look for its analytical solutions. Depending on the free parameters, one may obtain both uncharged and charged solutions for some classes…

General Relativity and Quantum Cosmology · Physics 2012-01-04 S. H. Hendi , D. Momeni

We investigate static, spherically symmetric solutions in gravitational theories which have limited curvature invariants, aiming to remove the singularity in the Schwarzschild space-time. We find that if we only limit the Gauss-Bonnet term…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Daisuke Yoshida , Robert H. Brandenberger

We show that generic linear perturbations $\psi$ solving $\Box_g \psi + \frac{\alpha}{l^2} \psi =0$ on Reissner-Nordstr\"om-AdS black holes have infinite local energy at the Cauchy horizon. Combined with the result of arXiv:1812.06142 that…

General Relativity and Quantum Cosmology · Physics 2021-08-11 Christoph Kehle

An abelian gauge symmetry can be spontaneously broken near a black hole horizon in anti-de Sitter space using a condensate of non-abelian gauge fields. There is a second order phase transition between Reissner-Nordstrom-anti-de Sitter…

High Energy Physics - Theory · Physics 2008-12-18 Steven S. Gubser

We study the quantum dynamics of an interior planar AdS (anti-de Sitter) black hole, requiring unitarity in the natural time coordinate conjugate to the cosmological "constant of motion" appearing in unimodular gravity. Both the classical…

High Energy Physics - Theory · Physics 2025-03-12 Steffen Gielen , Lucía Menéndez-Pidal

We derive mass-independent equations and inequalities for Kerr-Newman-anti-de Sitter black holes. In particular, we obtain an equation that relates electric charge, angular momentum and the areas of the event and Cauchy horizons. An…

General Relativity and Quantum Cosmology · Physics 2014-06-17 Jörg Hennig