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We discuss the two-dimensional (2D), $\epsilon<2$ extremal ground states of charged black hole. Here $\epsilon$ is the dilaton coupling parameter for the Maxwell term. The complete analysis of stability is carried out for all these extremal…

High Energy Physics - Theory · Physics 2009-10-28 H. W. Lee , Y. S. Myung , Jin Young Kim

We investigate the shadow cast by a sort of new regular black holes which are characterized by an asymptotically Minkowski core and the Sub-Planckian curvature. Firstly, we extend the metric with spherical symmetry to the one of rotating…

General Relativity and Quantum Cosmology · Physics 2022-11-17 Yi Ling , Meng-He Wu

Static solutions of 5-dimensional gravity with two spatial Killing vectors are characterized by their rod structures. In this note we describe how the orbifold singularities and the topologies of the horizons and asymptotic regions can be…

High Energy Physics - Theory · Physics 2011-06-02 Jarah Evslin

In the context of f(R) modified gravity theories, we study the Kerr-Newman black-hole solutions. We study non-zero constant scalar curvature solutions and discuss the metric tensor that satisfies the modified field equations. We determine…

General Relativity and Quantum Cosmology · Physics 2011-10-04 J. A. R. Cembranos , A. de la Cruz-Dombriz , P. Jimeno Romero

Fluctuations of non-Abelian gauge fields in a background magnetic flux contain tachyonic modes and hence the background is unstable. We extend these results to the cases where the background flux is coupled to Einstein gravity and show that…

High Energy Physics - Theory · Physics 2008-11-26 A. E. Mosaffa , S. Randjbar-Daemi , M. M. Sheikh-Jabbari

Black holes gradually settle into their static configuration by emitting gravitational waves, whose amplitude diminish over time according to a power-law decay at fixed spatial locations. We show that the nonlinear tails in the presence of…

General Relativity and Quantum Cosmology · Physics 2025-06-18 Alex Kehagias , Antonio Riotto

The relation between event horizons and trapping horizons is investigated in a number of different situations with emphasis on their role in thermodynamics. A notion of constant change is introduced that in certain situations allows the…

General Relativity and Quantum Cosmology · Physics 2010-12-06 Alex B. Nielsen

I argue that an approach which uses an appropriate admixture of both classical and semiclassical effects is essential for understanding the ultimate fate of gravitational collapse and the nature of black holes. I provide an example of a…

General Relativity and Quantum Cosmology · Physics 2022-11-01 Valentin Boyanov

We consider stationary extremal black hole solutions of the Einstein-Maxwell equations with a negative cosmological constant in four dimensions. We determine all non-static axisymmetric near-horizon geometries (with non-toroidal horizon…

High Energy Physics - Theory · Physics 2009-07-09 Hari K. Kunduri , James Lucietti

We study the attractor equations for a quantum corrected prepotential F=t^3+i\lambda, with \lambda \in R,which is the only correction which preserves the axion shift symmetry and modifies the geometry. By performing computations in the…

High Energy Physics - Theory · Physics 2008-11-26 S. Bellucci , S. Ferrara , A. Marrani , A. Shcherbakov

Recently it was shown that small deformations of the asymptotically flat black-hole geometry in some region near its horizon which do not alter considerably the fundamental mode, nevertheless, strongly affect the first several (and higher)…

General Relativity and Quantum Cosmology · Physics 2024-02-09 R. A. Konoplya , A. Zhidenko

It is shown that the conserved charges on the event horizon and the Cauchy horizon associated to scalar perturbations on extremal black holes are externally measurable from null infinity. This suggests that these charges have the potential…

General Relativity and Quantum Cosmology · Physics 2018-09-28 Yannis Angelopoulos , Stefanos Aretakis , Dejan Gajic

Einstein-Maxwell-dilaton theory with non-trivial dilaton potential is known to admit asymptotically flat and (Anti-)de Sitter charged black hole solutions. We investigate the conditions for the presence of horizons as function of the…

High Energy Physics - Theory · Physics 2022-08-26 Karim Benakli , Carlo Branchina , Gaëtan Lafforgue-Marmet

We uncover a symmetry of the linear Einstein equations near extremal horizons. Specifically, acting with a spherically symmetric linearized diffeomorphism on the perturbative solutions to the Einstein-Maxwell equations in the…

High Energy Physics - Theory · Physics 2022-03-22 Achilleas P. Porfyriadis , Grant N. Remmen

It is demonstrated that the near-horizon geometry of general non-extremal black holes can be described by a portion of AdS space. We show that the reason why hidden conformal symmetries near horizons of general non-extremal black holes are…

High Energy Physics - Theory · Physics 2013-06-24 Huiquan Li

In the wake of interest to find black hole solutions with scalar hair, we investigate the effects of disformal transformations on static spherically symmetric space-times with a non-trivial scalar field. In particular, we study solutions…

General Relativity and Quantum Cosmology · Physics 2020-04-22 Guillem Domènech , Atsushi Naruko , Misao Sasaki , Christof Wetterich

It is expected that black holes are formed dynamically under the gravitational collapses and approach to the stationary states. In this paper, we show that the asymptotic Killing vector at late time should exist on the horizon and then that…

General Relativity and Quantum Cosmology · Physics 2012-02-01 Kentaro Tanabe , Tetsuya Shiromizu , Shunichiro Kinoshita

We investigate the interaction between a non-rotating black hole and incoming gravitational waves using the characteristic formulation of the Einstein field equations, framed as a Bondi problem. By adopting retarded time as the null…

General Relativity and Quantum Cosmology · Physics 2025-03-18 H. P. de Oliveira

We investigate the stability of highly charged Reissner-Nordstr\"om black holes to charged scalar perturbations. We show that the near-horizon region exhibits a transient instability which becomes the Aretakis instability in the extremal…

General Relativity and Quantum Cosmology · Physics 2023-10-03 Peter Zimmerman

We present a c-function for spherically symmetric, static and asymptotically flat solutions in theories of four-dimensional gravity coupled to gauge fields and moduli. The c-function is valid for both extremal and non-extremal black holes.…

High Energy Physics - Theory · Physics 2009-11-11 Kevin Goldstein , Rudra P. Jena , Gautam Mandal , Sandip P. Trivedi
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