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A solution of Einstein's vacuum field equation is derived that describes a general boosted Kerr black hole relative to a Lorentz frame at future null infinity. The metric contains five independent parameters -- mass $m$, rotation $\omega$,…

General Relativity and Quantum Cosmology · Physics 2019-05-08 Ivano Damião Soares

The Arnowitt-Deser-Misner formalism is used to derive variations of mass, angular momentum and canonical energy for Einstein-Maxwell {\it dark matter} gravity in which the auxiliary gauge field coupled via kinetic mixing term to the…

High Energy Physics - Theory · Physics 2020-10-28 Marek Rogatko

We present a new exact solution to Einstein's field equations that unifies the Kerr black hole with Friedmann-Lema\^itre-Robertson-Walker cosmology. This metric reduces to Kerr-de Sitter in the appropriate limit and accounts for…

General Relativity and Quantum Cosmology · Physics 2026-05-25 Antonio Peña Peña

We consider the bound states of the massive scalar field around a rotating black hole immersed in the asymptotically uniform magnetic field. In the regime of slow black hole rotation, the Klein-Gordon equation allows separation of…

High Energy Physics - Theory · Physics 2009-01-16 R. A. Konoplya

We review our recent work on linear stability for scalar perturbations of Kerr spacetimes, that is to say, boundedness and decay properties for solutions of the scalar wave equation \Box_g{\psi} = 0 on Kerr exterior backgrounds. We begin…

General Relativity and Quantum Cosmology · Physics 2017-08-23 Mihalis Dafermos , Igor Rodnianski

We provide a new regular black hole solution in $(2+1)$ dimensions with presence of matter fields in the energy momentum tensor, having its core a flat or (A)dS structure. Since the first law of thermodynamics for regular black holes is…

General Relativity and Quantum Cosmology · Physics 2021-11-09 Milko Estrada , Francisco Tello-Ortiz

Astrophysical black holes do not exist in vacuum, and their motion is affected by the galactic environment. As a black hole moves it attracts stars and matter, creating a wake that, in turn, exerts an effective friction slowing down the…

General Relativity and Quantum Cosmology · Physics 2024-06-11 Conor Dyson , Jaime Redondo-Yuste , Maarten van de Meent , Vitor Cardoso

We construct a new static, spherically symmetric black hole spacetime embedded in a dark matter halo whose density follows the cored Burkert profile. Starting from the halo-only geometry determined by the rotation curve relation, we solve…

General Relativity and Quantum Cosmology · Physics 2025-11-12 Yi Yang , Gaetano Lambiase , Ali Ovgun , Dong Liu , Zheng-Wen Long

The so-called black bounce mechanism of singularity suppression, proposed by Simpson and Visser, consists in replacing the spherical radius $r$ in the metric tensor with $\sqrt{r^2 + a^2}$, $a = \rm const >0$. This removes a singularity at…

General Relativity and Quantum Cosmology · Physics 2024-04-29 Kirill A. Bronnikov

The first regular exact black hole solution in General Relativity is presented. The source is a nonlinear electrodynamic field satisfying the weak energy condition, which in the limit of weak field becomes the Maxwell field. The solution…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Eloy Ayón-Beato , Alberto García

In recent years black hole configurations with non standard topology or with non-standard asymptotic have gained considerable attention. In this article we carry out numerical investigations aimed to find periodic coaxial configurations of…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Javier Peraza , Martín Reiris , Omar E. Ortiz

A regular rotating MOG (modified gravity) compact object is derived that reduces to the Kerr black hole when the parameter $\alpha=0$. Physical consequences of the dark compact object, which is regular everywhere in spacetime for $\alpha >…

General Relativity and Quantum Cosmology · Physics 2021-02-15 J. W. Moffat

Using canonical typicality method, we reconsider the study of dark energy effects on four dimensional black holes. Concretely, we investigate the associated influences on the spectrum of various black hole backgrounds including the charged…

High Energy Physics - Theory · Physics 2019-12-19 A. Belhaj , A. El Balali , W. El Hadri , H. El Moumni , M. B. Sedra

Recently, a generalised solution for Einstein equations of a rotating compact body, surrounded by matter field was proposed, which is the Kerr-Newman spacetime with an anisotropic matter. The solution possesses an additional hair, along…

General Relativity and Quantum Cosmology · Physics 2021-03-12 C. L. Ahmed Rizwan , A. Naveena Kumara , Kartheek Hegde , Md Sabir Ali , Ajith K. M

In this work, the solution of the Einstein equations for a slowly rotating black hole with Born-Infeld charge is obtained. Geometrical properties and horizons of this solution are analyzed. The conditions when the ADM mass (as in the…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Diego Julio Cirilo-Lombardo

In this paper, a massive scalar field non-minimally coupled with gravity is considered. Assuming a regular and spherically symmetric background, specifically a regular black hole solution, the energy-momentum tensor is calculated. Using the…

General Relativity and Quantum Cosmology · Physics 2024-07-02 Jhonny A. A. Ruiz , A. F. Santos

Field equations of a classical, geometric, theory of gravity, augmented with some semiclassical considerations strongly suggest that the gravitational field representing a stationary black hole can be simply described with a few…

General Relativity and Quantum Cosmology · Physics 2024-10-22 Aydin Tavlayan , Bayram Tekin

Tentative observations and theoretical considerations have recently led to renewed interest in models of fundamental physics in which certain ``constants'' vary in time. Assuming fixed black hole mass and the standard form of the…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip

We study axial gravitational perturbations of the asymptotically flat Bardeen spacetime interpreted as a string-T-duality-inspired quantum-corrected Schwarzschild black hole. Starting from the anisotropic-fluid background, we derive the…

General Relativity and Quantum Cosmology · Physics 2026-05-13 Bekir Can Lütfüoğlu , Javlon Rayimbaev , Sardor Murodov , Jakhongir Kurbanov , Muhammad Matyoqubov

In this paper, we demonstrate that a linear electromagnetic matter source can be constructed for regular black hole solutions, illustrated by the case of the Bardeen black hole. Our method relies on coupling a scalar field and its potential…