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An exact solution of Einstein's field equations for a static spherically symmetric medium with a radially boost invariant energy-momentum tensor is presented. In the limit of an equation of state corresponding to a distribution of radially…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Harald H. Soleng

We construct a static spherically symmetric regular black hole with a Minkowski core, and a degenerate inner horizon with vanishing surface gravity. The spacetime contains a non-extremal outer horizon and exhibits two notable features.…

General Relativity and Quantum Cosmology · Physics 2026-05-18 Zhong-Wen Feng , Hong-Lin Liu , Yi Ling , Qing-Quan Jiang

We construct the first-order perturbative Taub-NUT black hole solutions in Einstein gravity extended with a cubic curvature invariant. The corrected thermodynamic quantities are then obtained by the standard method and the first law and…

General Relativity and Quantum Cosmology · Physics 2024-09-13 Yu-Qi Chen , Hai-Shan Liu , H. Lu

In this paper, we explore the solutions of rotating black holes within the framework of de Rham-Gabadadze-Tolley (dRGT) massive gravity. We provide a detailed, step-by-step analytical derivation of these solutions. Our solutions are…

General Relativity and Quantum Cosmology · Physics 2025-09-17 Ping Li , Jiang-he Yang

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

We establish a deformation framework for highly symmetric solutions to the Einstein equations. In this framework, four-dimensional metrics are constructed from three-dimensional {\eta}-Einstein metrics admitting a deformation determined by…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Hiroshi Kozaki , Satsuki Matsuno , Tatsuhiko Koike , Yoshiyuki Morisawa , Hideki Ishihara

We numerically construct new charged Taub-NUT-type black hole solutions in four-dimensional Einstein-Weyl-Maxwell theory. We explore the effects of the NUT parameter and the electric charge parameter on the black hole solutions in great…

General Relativity and Quantum Cosmology · Physics 2025-08-05 Ze Li , Hai-Shan Liu

In our previous work, a novel idea that the NUT charge can be thought of as a thermodynamical multi-hair has been advocated to describe perfectly the thermodynamical character of the generic four-dimensional Taub-NUT spacetimes. According…

General Relativity and Quantum Cosmology · Physics 2022-06-08 Di Wu , Shuang-Qing Wu

We evaluate the effects of repulsive gravity using first order geometric invariants, \textit{i.e.}, the Ricci scalar and the eigenvalues of the Riemann curvature tensor, for three regular black holes, namely the Bardeen, Hayward, and…

General Relativity and Quantum Cosmology · Physics 2023-05-22 Orlando Luongo , Hernando Quevedo

We explore black hole solutions and some of its physical properties in Einstein's theory in 4D, modified by a cubic gravity term and in the presence of non-linear electrodynamics. In the context of Effective Field Theories (EFT) and under…

General Relativity and Quantum Cosmology · Physics 2024-02-22 Gustavo Gutierrez-Cano , Gustavo Niz

We present a new class of solutions describing charged black holes in massive (bi)gravity. For a generic choice of the parameters of the massive gravity action, the solution is the Reissner-Nordstrom-de Sitter metric written in the…

General Relativity and Quantum Cosmology · Physics 2014-07-09 Eugeny Babichev , Alessandro Fabbri

We construct new solutions of the vacuum Einstein field equations with multiple NUT parameters, with and without cosmological constant. These solutions describe spacetimes with non-trivial topology that are asymptotically dS, AdS or flat.…

High Energy Physics - Theory · Physics 2009-11-11 Robert B. Mann , Cristian Stelea

We consider the recent data sets of quasi-periodic oscillations from eight different low mass X-ray binaries. We here interpret their physical features in the context of given regular black hole solutions and verify their applicability to…

High Energy Astrophysical Phenomena · Physics 2023-03-07 Kuantay Boshkayev , Anuar Idrissov , Orlando Luongo , Marco Muccino

We explore some implications of our previous proposal, motivated in part by the Generalised Uncertainty Principle (GUP) and the possibility that black holes have quantum mechanical hair that the ADM mass of a system has the form $M + \beta…

General Relativity and Quantum Cosmology · Physics 2020-12-22 Bernard Carr , Heather Mentzer , Jonas Mureika , Piero Nicolini

General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover,…

High Energy Physics - Theory · Physics 2024-12-30 Alfredo Guevara , Uri Kol , Huy Tran

Using the FermiDirac distribution function, Balart and Vagenas gave a charged spherically symmetric regular black hole, which is a solution of Einstein field equations coupled to a nonlinear electrodynamics. In fact, the regular black hole…

General Relativity and Quantum Cosmology · Physics 2022-09-20 Hongxing Zhang , Naying Zhou , Wenfang Liu , Xin Wu

We find a charged spherically symmetric black hole solution with the existence of a cloud of strings and quintessential matter. Then we apply the Demianski-Newman-Janis algorithm to generate the rotating and twisting counterpart. The…

General Relativity and Quantum Cosmology · Physics 2021-06-24 Muhammad Fitrah Alfian Rangga Sakti , Hadyan Lutfan Prihadi , Agus Suroso , Freddy Permana Zen

In this paper we propose a stationary solution of Einstein's field equations describing Reissner-Nordstrom black hole in dark energy background. It is to be regarded as the Reissner-Nordstrom black hole is embedded into the dark energy…

General Relativity and Quantum Cosmology · Physics 2014-12-02 Ngangbam Ishwarchandra , Ng. Ibohal , K. Yugindro Singh

Rapidly rotating black hole solutions in theories beyond general relativity play a key role in experimental gravity, as they allow us to compute observables in extreme spacetimes that deviate from the predictions of general relativity. Such…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Robert McNees , Leo C. Stein , Nicolás Yunes

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