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A pedagogical discussion is given of some aspects of \lq\lq quantum black holes", primarily using recently developed two-dimensional models. After a short preliminary concerning classical black holes, we give several motivations for…

High Energy Physics - Theory · Physics 2008-02-03 Yoichi Kazama

Dilatonic black hole dyon-like solutions in the gravitational $4d$ model with a scalar field, two 2-forms, two dilatonic coupling constants $\lambda_i \neq 0$, $i =1,2$, obeying $\lambda_1 \neq - \lambda_2$ and the sign parameter…

High Energy Physics - Theory · Physics 2025-12-25 M. E. Abishev , V. D. Ivashchuk , A. N. Malybayev , S. Toktarbay

Black hole solutions in higher dimensional Einstein and Einstein-Maxwell gravity have been discussed by Tangherlini as well as Myers and Perry a long time ago. These solutions are the generalizations of the familiar Schwarzschild,…

General Relativity and Quantum Cosmology · Physics 2009-11-11 A. N. Aliev

We construct regular and black hole solutions in SU(2) Einstein-Born-Infeld theory. These solutions have many features in common with the corresponding SU(2) Einstein-Yang-Mills solutions. In particular, sequences of neutral non-abelian…

High Energy Physics - Theory · Physics 2011-07-19 Marion Wirschins , Abha Sood , Jutta Kunz

This article investigates higher dimensional vacuum solutions of the Einstein equations. Generalizations of the definitions of spherical and axial symmetry to higher dimensions are discussed before analyzing specific solutions bearing one…

General Relativity and Quantum Cosmology · Physics 2012-10-24 Bernadette Lessel

We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg field equations (EHFE) and prove that its effective geometry contains (optical) black holes. It is conjectured that there are also soliton solutions to the…

Mathematical Physics · Physics 2010-12-22 Shawn Westmoreland

We present new solutions to Einstein-Maxwell-dilaton-axion (EMDA) gravity in four dimensions describing black holes which asymptote to the linear dilaton background. In the non-rotating case they can be obtained as the limiting geometry of…

High Energy Physics - Theory · Physics 2009-11-07 Gerard Clement , Dmitri Gal'tsov , Cedric Leygnac

We study Einstein gravity minimally coupled to a scalar field in a static, spherically symmetric space-time in four dimensions. Black hole solutions are shown to exist for a phantom scalar field whose kinetic energy is negative. These…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. A. Bronnikov , M. S. Chernakova , J. C. Fabris , N. Pinto-Neto , M. E. Rodrigues

Quantum theory on manifolds with boundaries have been studied extensively through von Neumann analysis of self adjoint operators. We approach the issues through introduction of singular $\delta$ and $\delta'$ potentials. The advantages of…

Mathematical Physics · Physics 2016-10-11 T R Govindarajan , J. M. Munoz-Castaneda

This paper explores ``black hole'' solutions of various Einstein-wave matter systems admitting an isometry of their domain of outer communications taking every point to its future. In the first two parts, it is shown that such solutions,…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Mihalis Dafermos

In this work, we construct a modified version of the Einstein field equations for a vacuum and spherically symmetric spacetime in terms of the Riemann-Louville fractional derivative. The main difference between our approach and other works…

General Relativity and Quantum Cosmology · Physics 2023-05-25 A. Di Teodoro , E. Contreras

Einstein's equations are known to lead to the formation of black holes and spacetime singularities. This appears to be a manifestation of the mathematical phenomenon of finite-time blowup: a formation of singularities from regular initial…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Amos Ori , Dan Gorbonos

We construct analytical solutions describing black holes and black strings in the Einstein $SU(N)$-non-linear sigma model in $(3+1)$ dimensions. This construction is carried out using the maximal embbeding ansatz of $SU(2)$ together with…

High Energy Physics - Theory · Physics 2022-08-31 Carla Henríquez-Báez , Marcela Lagos , Aldo Vera

We derive and critically examine the consequences that follow from the formation of a regular black or white hole horizon in finite time of a distant observer. In spherical symmetry, only two distinct classes of solutions to the…

General Relativity and Quantum Cosmology · Physics 2023-01-30 Sebastian Murk , Daniel R. Terno

We review the theory of stationary black hole solutions of vacuum Einstein equations.

General Relativity and Quantum Cosmology · Physics 2023-07-25 Robert Beig , Piotr T. Chruściel

The modern notion of a black hole singularity is considered with reference to the Schwarzschild solution to Einstein's field equations of general relativity. A brief derivation of both the original and the modern line elements is given. The…

General Physics · Physics 2008-06-09 M. Anyon , J. Dunning-Davies

In this paper we analyze the conditions when the Einstein equations with cosmological constant and matter describe (2+1)-dimensional generic locally anisotropic (la) spacetimes of generalized Finsler type. New classes of solutions for such…

General Relativity and Quantum Cosmology · Physics 2009-09-25 Sergiu I. Vacaru

Novel static black hole solutions with electric and magnetic charges are derived for the class of modified gravities: $f({\cal R})={\cal R}+2\beta\sqrt{{\cal R}}$, with or without a cosmological constant. The new black holes behave…

General Relativity and Quantum Cosmology · Physics 2020-02-14 E. Elizalde , G. G. L. Nashed , S. Nojiri , S. D. Odintsov

We study the $f(R)$-Maxwell black hole imposed by constant curvature and its all thermodynamic quantities, which may lead to the Reissner-Nordstr\"om-AdS black hole by redefining Newtonian constant and charge. Further, we obtain the…

General Relativity and Quantum Cosmology · Physics 2015-05-20 Taeyoon Moon , Yun Soo Myung , Edwin J. Son

The known static electro-vacuum black holes in a globally AdS$_4$ background have an event horizon which is geometrically a round sphere. In this work we argue that the situation is different in models with matter fields possessing an…

General Relativity and Quantum Cosmology · Physics 2016-02-24 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir