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Five and six dimensional static, spherically symmetric, asymptotically Euclidean black holes, are unstable under gravitational perturbations if their mass is lower than a critical value set by the string tension. The instability is due to…

High Energy Physics - Theory · Physics 2008-11-26 Martin Beroiz , Gustavo Dotti , Reinaldo J. Gleiser

We construct four-dimensional gravity theories that resolve the Schwarzschild singularity and enable dynamical studies of nonsingular gravitational collapse. The construction employs a class of nonpolynomial curvature invariants that…

General Relativity and Quantum Cosmology · Physics 2025-10-22 Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Ángel J. Murcia

The conditions are clarified under which regular (i.e., singularity-free) black holes can exist. It is shown that in a large class of spacetimes that satisfy the weak energy condition the existence of a regular black hole requires topology…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Arvind Borde

We consider three-dimensional gravity with negative cosmological constant in the presence of a scalar and an Abelian gauge field. Both fields are conformally coupled to gravity, the scalar field through a nonminimal coupling with the…

High Energy Physics - Theory · Physics 2015-06-22 Marcela Cardenas , Oscar Fuentealba , Cristian Martinez

The first-order correction of the perturbative solution of the coupled equations of the quadratic gravity and nonlinear electrodynamics is constructed, with the zeroth-order solution coinciding with the ones given by Ay\'on-Beato and…

High Energy Physics - Theory · Physics 2009-11-11 Waldemar Berej , Jerzy Matyjasek , Dariusz Tryniecki , Mariusz Woronowicz

In this work, we consider an extension of the symmetric teleparallel equivalent of General Relativity (STEGR), namely, $f(\mathbb{Q})$ gravity, by including a boundary term $\mathbb{B}_Q$, where $\mathbb{Q}$ is the non-metricity scalar.…

General Relativity and Quantum Cosmology · Physics 2024-04-01 José Tarciso S. S. Junior , Francisco S. N. Lobo , Manuel E. Rodrigues

Some well-known metrics used as models of static non-rotating black holes are considered. These are the Reissner-Nordstrom-de Sitter, Bardeen-Kiselev and McVittie models. A significant difference between them in how adequately they can…

General Relativity and Quantum Cosmology · Physics 2024-11-04 Serge Parnovsky

Charged black holes arise as solutions of General Relativity (GR) coupled to Maxwell theory. As functions of the mass and charge, they can exhibit extremal behavior, in which case they are stable against thermal decay. (Quantum) corrections…

General Relativity and Quantum Cosmology · Physics 2025-04-30 Mattia Damia Paciarini , Manuel Del Piano , Stefan Hohenegger , Francesco Sannino

Regular rotating black holes are usually described by a metric of the Kerr-Schild form with a particular mass function that is chosen to avoid the ring singularity of the Kerr metric and which approaches the Kerr metric at the asymptotic…

General Relativity and Quantum Cosmology · Physics 2025-04-01 Marcos L. W. Basso , Vilson T. Zanchin

We present new static spherically-symmetric exact solutions of Einstein equations with the quintessential matter surrounding a black hole charged or not as well as for the case without the black hole. A condition of additivity and linearity…

General Relativity and Quantum Cosmology · Physics 2010-11-19 V. V. Kiselev

We consider a class of Einstein-Maxwell-dilaton theories in general dimensions and construct both static and dynamic charged black holes. We adopt the reverse engineering procedure and make a specific ansatz for the scalar field and then…

High Energy Physics - Theory · Physics 2020-01-08 Hyat Huang , Zhong-Ying Fan , H. Lü

We establish a framework to construct spherically symmetric and static solutions in $f(R)$ gravity coupled with nonlinear electromagnetic fields. We present two new specific solutions and discuss the energy conditions. We calculate some…

General Relativity and Quantum Cosmology · Physics 2025-09-09 Yongben Shi , Rong-Jia Yang

We investigate Einstein-Gauss-Bonnet (EGB) 4D massive gravity coupled to nonlinear electrodynamics (NED) in an Anti-de-Sitter (AdS) background and find an exact magnetically charged black hole solution. The metric function was analyzed for…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Prosenjit Paul , S. I. Kruglov

A simple phenomenological extension of the black hole solution with tidal charge is proposed. Empirical data on the Sgr A* is consistent with the suggested metric which serves as a generalisation of the Reissner-Nordstrom one. Such a…

General Relativity and Quantum Cosmology · Physics 2019-04-10 S. O. Alexeyev , B. N. Latosh , V. A. Prokopov , E. D. Emtsova

As Einstein's gravity is a non-renormalizable theory, it can be a good description of physics only at the scales of energy or spacetime curvature below the Planck mass. Moreover, it requires the presence of an infinite tower of…

General Relativity and Quantum Cosmology · Physics 2025-08-22 Ziyue Zhu , Alexey S. Koshelev , Yang Liu , Anna Tokareva

We study the charged black hole solutions of a 2+1 nonlinear electrodynamical theory with cosmological constant. Considered as a one-parameter group of theories (the exponent of the squared Maxwell tensor) the causal structure of all…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Rodrigo Dal Bosco Fontana

A new, exact and analytical class of accelerating and charged black holes is built, in the Einstein-Maxwell theory, thanks to the Harrison transformation. The diagonal metric does not belong to the Petrov type D classification, therefore it…

General Relativity and Quantum Cosmology · Physics 2023-12-14 Marco Astorino

We find a class of charged black hole solutions in third order Lovelock Gravity. To obtain this class of solutions, we are not confined to the usual assumption of maximal symmetry on the horizon and will consider the solution whose boundary…

General Relativity and Quantum Cosmology · Physics 2018-04-12 N. Farhangkhah

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive the master equation for tensor…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Tomohiro Takahashi

We perform the gauge covariant quantization of the exponential model of nonlinear electrodynamics. Magnetically charged black holes, in the framework of our model are considered, and the regular black hole solution is obtained in general…

General Relativity and Quantum Cosmology · Physics 2017-03-14 S. I. Kruglov