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A non-singular, static spherically symmetric solution to the nonsymmetric gravitational and electromagnetic theory field equations is derived, which depends on the four parameters m, l^2, Q and s, where m is the mass, Q is the electric…

General Relativity and Quantum Cosmology · Physics 2008-11-26 N. J. Cornish , J. W. Moffat

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

Regular black holes represent a conservative model in which the classical singularity is replaced by a non-singular core without necessarily modifying the spacetime outside the trapping horizon. Given the possible lack of phenomenological…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Francesco Di Filippo , Raúl Carballo-Rubio , Stefano Liberati , Costantino Pacilio , Matt Visser

We find that if general relativity is modified at the Planck scale by a Ricci-squared term, electrically charged black holes may be nonsingular. These objects concentrate their mass in a microscopic sphere of radius $r_{core}\approx…

General Relativity and Quantum Cosmology · Physics 2015-06-03 Gonzalo J. Olmo , D. Rubiera-Garcia

With a prescribed Coulomb-type energy-momentum tensor, an exact solution of the Einstein field equations over a nonsimply-connected manifold is presented. This spherically symmetric solution has neither curvature singularities nor closed…

General Relativity and Quantum Cosmology · Physics 2015-06-15 F. R. Klinkhamer

We show that the rotating generalization of Hayward's non-singular black hole previously studied in the literature is geodesically incomplete, and that its straightforward extension leads to a singular spacetime. We present another…

General Relativity and Quantum Cosmology · Physics 2018-05-15 Frédéric Lamy , Eric Gourgoulhon , Thibaut Paumard , Frédéric H. Vincent

We investigate the dynamic and thermodynamic laws governing rotating regular black holes. By analyzing dynamic properties, i.e., the interaction between scalar particles and rotating regular black holes, we establish the criteria that…

General Relativity and Quantum Cosmology · Physics 2024-05-21 Hao Yang , Chang-Jiang Yu , Yan-Gang Miao

We present new regular black hole solutions in general relativity (GR) within a static, spherically symmetric framework governed by a variable equation of state, following the approach of [Class. Quant. Grav. 42, 025024 (2025)]. The matter…

We present a new class of regular, spherically symmetric spacetimes in nonlinear electrodynamics that are asymptotically dynamical but not de Sitter, exhibiting power-law Maxwell behavior at infinity. Generalizing to black holes, we derive…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Yi-bo Liang , Hong-Rong Li

Recently our understanding of black holes in D-spacetime dimensions, as solutions of the Einstein equation, has advanced greatly. Besides the well established spherical black hole we have now explicitly found other species of topologies of…

High Energy Physics - Theory · Physics 2010-03-12 Maria J. Rodriguez

We drop the complexification procedure from the Newman-Janis algorithm and introduce more physical arguments and symmetry properties, and we show how one can generate regular and singular rotating black hole and non-black-hole solutions in…

General Relativity and Quantum Cosmology · Physics 2014-09-25 Mustapha Azreg-Aïnou

We develop a number of novel "black-bounce" spacetimes. These are specific regular black holes where the "area radius" always remains non-zero, thereby leading to a "throat" that is either timelike (corresponding to a traversable wormhole),…

General Relativity and Quantum Cosmology · Physics 2021-05-05 Francisco S. N. Lobo , Manuel E. Rodrigues , Marcos V. de S. Silva , Alex Simpson , Matt Visser

The search for regular black holes with nonlinear electromagnetic fields has sprouted numerous candidates, each exhibiting certain virtues but often accompanied by significant drawbacks. We demonstrate that Komar mass, electric charge and…

General Relativity and Quantum Cosmology · Physics 2026-01-22 Ana Bokulić , Tajron Jurić , Ivica Smolić

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

A Hayward black hole and magnetically charged black hole based on rational nonlinear electrodynamics with the Lagrangian ${\cal L} = -{\cal F}/(1+2\beta{\cal F})$ (${\cal F}$ is a field invariant) are considered. It was shown that the…

General Relativity and Quantum Cosmology · Physics 2023-11-28 S. I. Kruglov

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

We present a systematic method for constructing static, spherically symmetric regular spacetimes in general relativity satisfying the weak energy condition. Our approach relies on physically reasonable assumptions on the matter energy…

General Relativity and Quantum Cosmology · Physics 2026-05-12 Zi-Liang Wang , Emmanuele Battista

In this paper, we investigate a generalization of Kiselev black holes by introducing a varying equation of state parameter for the anisotropic fluid surrounding the black hole. We extend this model by allowing $w$ in the expression…

General Relativity and Quantum Cosmology · Physics 2024-12-02 Luis C. N. Santos

We obtain a class of regular black hole solutions in four-dimensional $f(R)$ gravity, $R$ being the curvature scalar, coupled to a nonlinear electromagnetic source. The metric formalism is used and static spherically symmetric spacetimes…

General Relativity and Quantum Cosmology · Physics 2016-08-02 Manuel E. Rodrigues , Ednaldo L. B. Junior , Glauber T. Marques , Vilson T. Zanchin

Regular black holes, which avoid the essential center singularities, can be constructed through various methods, including nonlinear electrodynamics and quantum corrections. Recently, it was shown that via an infinite tower of…

General Relativity and Quantum Cosmology · Physics 2024-12-10 Sheng-Wei Wang , Shan-Ping Wu , Shao-Wen Wei