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We consider the back reaction of the energy due to quantum fluctuation of the background fields considering the trace anomaly for Schwarzschild black hole. It is shown that it will result in modification of the horizon and also formation of…

General Relativity and Quantum Cosmology · Physics 2016-03-29 Jahed Abedi , Hessamaddin Arfaei

Tensor and scalar unparticle couplings to matter have been shown to enhance gravitational interactions and provide corrections to the Schwarzschild metric and associated black hole structure. We derive an exact solution to the Einstein…

High Energy Physics - Phenomenology · Physics 2014-11-21 J. R. Mureika , Euro Spallucci

We extend the Wald solution to a black hole that is also boosted. More specifically, we derive analytic solutions for the Maxwell equations for a rotating black hole moving at constant speed in an asymptotically uniform magnetic test field.…

General Relativity and Quantum Cosmology · Physics 2014-05-29 Viktoriya S. Morozova , Luciano Rezzolla , Bobomurat J. Ahmedov

The black hole singularity problem was proposed by Hawking and Penrose, and regular black holes serve as an important class of models to address this issue. However, the study of regular black hole thermodynamics has long faced a…

General Relativity and Quantum Cosmology · Physics 2026-01-13 Qi-Quan Li , Yu Zhang , Hoernisa Iminniyaz

We investigate the geometry of four dimensional black hole solutions in the presence of stringy higher curvature corrections to the low energy effective action. For certain supersymmetric two charge black holes these corrections drastically…

High Energy Physics - Theory · Physics 2014-11-18 Veronika Hubeny , Alexander Maloney , Mukund Rangamani

A recent work [Phys. Rev. D 111, 104040] shows that the curvature singularity of a black hole can vanish at a fine-tuned mass value, which implies that regular black holes could be special states in black hole evolution. We study the…

General Relativity and Quantum Cosmology · Physics 2025-05-19 Xiao-Pin Rao , Hyat Huang

Riemannian Penrose Inequalities are precise geometric statements that imply that the total mass of a zero second fundamental form slice of a spacetime is at least the mass contributed by the black holes, assuming that the spacetime has…

Differential Geometry · Mathematics 2024-03-21 Hubert Bray , Yiyue Zhang

We investigate a Schwarzschild metric exhibiting a signature change across the event horizon, which gives rise to what we term a Lorentzian-Euclidean black hole. The resulting geometry is regularized by employing the Hadamard partie finie…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Salvatore Capozziello , Silvia De Bianchi , Emmanuele Battista

Based on the conformal energy theorem we prove the uniqueness theorem for static higher dimensional electrically and magnetically charged black holes being the solution of Einstein (n-2)-gauge forms equations of motion. Black hole spacetime…

High Energy Physics - Theory · Physics 2009-11-10 Marek Rogatko

In this chapter, we discuss explicit black hole solutions in higher-order scalar-tensor theories. After a brief recap of no-hair theorems, we start our discussion by so-called stealth solutions present in theories with parity and shift…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Eugeny Babichev , Christos Charmousis , Nicolas Lecoeur

In this work, we study the quasinormal modes of Schwarzschild and Schwarzschild (Anti-) de Sitter black holes by a matrix method. The proposed method involves discretizing the master field equation and expressing it in form of a homogeneous…

General Relativity and Quantum Cosmology · Physics 2017-04-04 Kai Lin , Wei-Liang Qian

Spacetime singularities in numerical relativity can be avoided by excising a region of the computational domain from inside the apparent horizon. We report on results of such a scheme that is based on using ({\it i}) a horizon locking…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Peter Anninos , Greg Daues , Joan Masso , Edward Seidel , Wai-Mo Suen

Using perturbative techniques, we investigate the existence and properties of a new static solution for the Einstein equation with a negative cosmological constant, which we call the deformed black hole. We derive a solution for a static…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Hirotaka Yoshino , Tohru Ohba , Akira Tomimatsu

A series of tantalizing results led to the black hole uniqueness conjecture: isolated, realistic black holes should settle down to states characterized by their spin, mass and charge. I argue that generically real black holes will also…

General Relativity and Quantum Cosmology · Physics 2018-05-30 Adam D. Helfer

Black holes are among the most fascinating objects populating our universe. Their characteristic features, encompassing spacetime singularities, event horizons, and black hole thermodynamics, provide a rich testing ground for quantum…

High Energy Physics - Theory · Physics 2016-02-23 Frank Saueressig , Natalia Alkofer , Giulio D'Odorico , Francesca Vidotto

We develop a novel technique through spectral decompositions to study the gravitational perturbations of a black hole, without needing to decouple the linearized field equations into master equations and separate their radial and angular…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Adrian Ka-Wai Chung , Pratik Wagle , Nicolas Yunes

We solve the elliptic equations associated with the Hamiltonian and momentum constraints, corresponding to a system composed of two black holes with arbitrary linear and angular momentum. These new solutions are based on a Kerr-Schild…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Pedro Marronetti , Richard A. Matzner

There have been a number of suggestions that the r = 0 singularity of a spherically symmetric (uncharged) evaporating black hole can be circumvented by a quantum transition to a white hole, which eventually releases all trapped quantum…

General Relativity and Quantum Cosmology · Physics 2019-04-08 James M. Bardeen

We present a comprehensive analysis of the spacetime structure and thermodynamics of $(1+1)-$dimensional black holes in a noncommutative framework. It is shown that a wider variety of solutions are possible than the commutative case…

General Relativity and Quantum Cosmology · Physics 2015-03-19 Jonas R. Mureika , Piero Nicolini

The 2020 Nobel prize in Physics has revived the interest in the singularity theorems and, in particular, in the Penrose theorem published in 1965. In this short paper I briefly review the main ideas behind the theorems and then proceed to…

General Relativity and Quantum Cosmology · Physics 2022-03-23 José M. M. Senovilla