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We construct exact black hole solutions to Einstein gravity with nonlinear electrodynamic field. In these solutions, there are in general four parameters. They are physical mass, electric charge, cosmological constant and the coupling…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Shuang Yu , Changjun Gao

By making use of the entropy function formalism we study the generalized attractor equations in the four dimensional N=2 supergravity in presence of higher order corrections. This result might be used to understand a possible ensemble one…

High Energy Physics - Theory · Physics 2009-11-11 Mohsen Alishahiha , Hajar Ebrahim

In these lectures we introduce some of the principles and techniques that are relevant for the determination of the entropy of extremal black holes by either string theory or supergravity. We consider such black holes with N=2 and N=4…

High Energy Physics - Theory · Physics 2007-05-23 Bernard de Wit

We investigate the properties of charged black hole geometries in nonlinear electrodynamics. We focus on the recently reported analytic charged black hole solutions to illustrate the consequences of a non-monotonic lapse function that…

High Energy Physics - Theory · Physics 2026-05-18 Lewis Croney , Ruth Gregory , Ansh Gupta , Carlos J. Ramírez-Valdez

A simple regular black hole solution satisfying the weak energy condition is obtained within Einstein--non--linear electrodynamics theory. We have computed the thermodynamic properties of this black hole by a careful analysis of the…

General Relativity and Quantum Cosmology · Physics 2016-11-23 Nicolás Morales--Durán , Andrés F. Vargas , Paulina Hoyos--Restrepo , Pedro Bargueño

We find black hole solutions to Euclidean 2+1 gravity coupled to a relativistic particle which have a dynamical conical singularity at the horizon. These solutions mimic the tree level contribution to the partition function of gravity…

High Energy Physics - Theory · Physics 2009-10-30 Riccardo Argurio

We consider the entropy of four-dimensional near-extremal N=2 black holes. Without R^2-terms, the Bekenstein-Hawking entropy formula has the structure of the extremal black holes entropy with a shift of the charges depending on the…

High Energy Physics - Theory · Physics 2011-06-08 Eyal Gruss , Yaron Oz

We present a procedure that transforms a singular, asymptotically flat, static and spherically symmetric black hole into a regular black hole spacetime. The regular black hole is a solution of General Relativity theory coupled to nonlinear…

General Relativity and Quantum Cosmology · Physics 2023-06-14 Pedro Cañate , Santiago Esteban Perez Bergliaffa

In mimetic gravity, we derive $D$-dimension charged black hole solutions having flat or cylindrical horizons with zero curvature boundary. The asymptotic behaviours of these black holes behave as (A)dS. We study both linear and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-02-06 G. G. L. Nashed , W. El Hanafy , Kazuharu Bamba

The prediction of spacetime singularities, regions of infinite curvature where classical physics breaks down, is one of the most profound challenges in General Relativity (GR). In particular, black hole solutions such as the Schwarzschild…

General Relativity and Quantum Cosmology · Physics 2025-11-18 Jose Pinedo Soto

We present a general procedure for constructing exact black hole solutions with electric or magnetic charges in General Relativity coupled to a nonlinear electrodynamics. We obtain a variety of two-parameter family spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2016-12-28 Zhong-Ying Fan , Xiaobao Wang

In this work, we study the existence of regular black holes solutions with multihorizons in general relativity and in some alternative theories of gravity. We consider the coupling between the gravitational theory and nonlinear…

General Relativity and Quantum Cosmology · Physics 2019-06-17 Manuel E. Rodrigues , Marcos V. de S. Silva

Hawking radiation from a black hole can be viewed as quantum tunneling of particles through the event horizon. Using this approach we provide a general framework for studying corrections to the entropy of black holes beyond semiclassical…

General Relativity and Quantum Cosmology · Physics 2015-05-18 M. Akbar , K. Saifullah

It is shown that general relativity coupled to nonlinear electrodynamics (NED) with the Lagrangian $L(F)$, $F = F_mn F^mn$ having a correct weak field limit, leads to nontrivial static, spherically symmetric solutions with a globally…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Kirill A. Bronnikov

We study static, spherically symmetric black holes supported by Euler-Heisenberg theory of electrodynamics and coupled to two different modified theories of gravity. Such theories are the quadratic $f(R)$ model and Eddington-inspired…

General Relativity and Quantum Cosmology · Physics 2020-07-08 Merce Guerrero , Diego Rubiera-Garcia

We study the near horizon geometry of extremal black holes in five dimensional gauged supergravity using Sen's entropy function formalism. Special attention is paid to the large black hole limit where the near horizon solution exhibits a…

High Energy Physics - Theory · Physics 2008-11-26 Jaehyung Choi , Sungjay Lee , Sangmin Lee

We reconsider entropy of black holes which do not have finite area horizon. It is suggested that some of them should have nonzero entropy from both supergravity and string theory point of view. We also refine our arguments in our previous…

High Energy Physics - Theory · Physics 2007-05-23 Takao Suyama

At the classical level, two-dimensional dilaton gravity coupled to an abelian gauge field has charged black hole solutions, which have much in common with four-dimensional Reissner-Nordstrom black holes, including multiple asymptotic…

High Energy Physics - Theory · Physics 2009-11-11 Andrei V. Frolov , Kristjan R. Kristjansson , Larus Thorlacius

We construct rotating black hole solutions in Einstein-Gauss-Bonnet theory in five spacetime dimensions. These black holes are asymptotically flat, and possess a regular horizon of spherical topology and two equal-magnitude angular momenta…

High Energy Physics - Theory · Physics 2015-03-17 Yves Brihaye , Burkhard Kleihaus , Jutta Kunz , Eugen Radu

An attempt is made in order to clarify the so called regular black holes issue. It is revisited that if one works within General Relativity minimally coupled with non linear source, mainly of electromagnetic origin, and within a static…

General Relativity and Quantum Cosmology · Physics 2017-05-24 Stefano Chinaglia , Sergio Zerbini