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According to general relativity, black holes are incomplete, which prevents developing a complete physical description of their dynamical formation and evolution once quantum effects are taken into account. Theories beyond general…

General Relativity and Quantum Cosmology · Physics 2026-02-24 Raúl Carballo-Rubio

Different proposals for regular rotating black hole spacetimes have appeared recently in the literature. However, a rigorous analysis and proof of the regularity of this kind of spacetimes is still lacking. In this note we analyze rotating…

General Relativity and Quantum Cosmology · Physics 2023-12-13 Ramon Torres , Francesc Fayos

While non-rotating black-hole solutions are well known in Einstein--\ae{}ther gravity, no axisymmetric solutions endowed with Killing horizons have been so far found outside of the slowly rotating limit. Here we show that the Kerr spacetime…

General Relativity and Quantum Cosmology · Physics 2024-04-22 Edgardo Franzin , Stefano Liberati , Jacopo Mazza

Gravitational decoupling allows to obtain new solutions of general relativity. In this paper, we obtain new solutions of the Einstein field equations which describe non-singular black holes. We consider Hayward and Bardeen regular black…

General Relativity and Quantum Cosmology · Physics 2024-05-14 Maxim Misyura , Angel Rincon , Vitalii Vertogradov

We describe the Kerr black hole in the ingoing and outgoing Kerr-Schild horizon penetrating coordinates. Starting from the null vector naturally defined in these coordinates, we construct the null tetrad for each case, as well as the…

General Relativity and Quantum Cosmology · Physics 2021-05-07 Claudia Moreno , Dario Nunez

We obtain topological black hole solutions in scalar-tensor gravity with nonminimal derivative coupling between scalar and tensor components of gravity and power-law Maxwell field minimally coupled to gravity. The obtained solutions can be…

High Energy Physics - Theory · Physics 2019-02-20 M. M. Stetsko

Tidal forces are an important feature of General Relativity, which are related to the curvature tensor. We analyze the tidal tensor in Kerr spacetime, with emphasis on the case along the symmetry axis of the Kerr black hole, noting that…

General Relativity and Quantum Cosmology · Physics 2020-03-24 Haroldo C. D. Lima Junior , Luís C. B. Crispino , Atsushi Higuchi

We solve in closed analytic form space-like geodesic equations in the Kerr gravitational field. Such geodesic equations describe the motion of neutral tachyons (faster than light particles) in the Kerr spacetime. More specifically we derive…

General Relativity and Quantum Cosmology · Physics 2011-10-13 G. V. Kraniotis

We consider the Fokker-Planck equation with a strong external magnetic field. Global-in-time solutions are built near the Maxwellian, the global equilibrium state for the system. Moreover, we prove the convergence to equilibrium at…

Analysis of PDEs · Mathematics 2019-01-14 Zeinab Karaki

Physical interpretation of some stationary and non-stationary regions of the spinning C-metric is presented. They represent different spacetime regions of a uniformly accelerated Kerr black hole. Stability of geodesics corresponding to…

General Relativity and Quantum Cosmology · Physics 2016-11-09 V. Pravda , A. Pravdova

We construct a new class of higher dimensional black hole solutions of $f(R)$ theory coupled to a nonlinear Maxwell field. In deriving these solutions the traceless property of the energy-momentum tensor of the matter filed plays a crucial…

High Energy Physics - Theory · Physics 2012-09-14 Ahmad Sheykhi

This short paper should serve as basis for further analysis of a previously found new symmetry of the solutions of the wave equation in the gravitational field of a Kerr black hole. Its main new result is the proof of essential…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Horst R. Beyer

Numerical analysis of dark matter axion-like cloud in the vicinity of rotating black hole has been performed. The model where axion-like scalar field is non-trivially coupled to Maxwell field is studied in the spacetime of Kerr black hole…

High Energy Physics - Theory · Physics 2021-06-23 Bartlomiej KIczek , Marek Rogatko

Solution generating techniques for general relativity with a conformally (and minimally) coupled scalar field are pushed forward to build a wide class of asymptotically flat, axisymmetric and stationary spacetimes continuously connected to…

General Relativity and Quantum Cosmology · Physics 2015-03-31 Marco Astorino

We construct Godel-type black hole and particle solutions to Einstein-Maxwell theory in 2+1 dimensions with a negative cosmological constant and a Chern-Simons term. On-shell, the electromagnetic stress-energy tensor effectively replaces…

High Energy Physics - Theory · Physics 2009-11-11 Maximo Banados , Glenn Barnich , Geoffrey Compere , Andres Gomberoff

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

The usual extensions of supersymmetry require the existence of a complex structure and the formulation of the theory on K\"{a}hler manifolds. It is shown, that by relaxing the constraints on the algebra of supercharges we can get new…

High Energy Physics - Theory · Physics 2007-05-23 J. W. van Holten

This work considers the influence of the gravitational field produced by a charged and rotating black hole (Kerr-Newman spacetime) on a charged massive scalar field. We obtain exact solutions of both angular and radial parts of the…

General Relativity and Quantum Cosmology · Physics 2014-08-01 H. S. Vieira , V. B. Bezerra , C. R. Muniz

This thesis presents recent studies on test scalar and vector fields around black holes. It is separated in two parts according to the asymptotic properties of the spacetime under study. In the first part, we investigate scalar and Proca…

General Relativity and Quantum Cosmology · Physics 2016-06-03 Mengjie Wang

We study a complex Dirac field in the chiral representation minimally coupled to gravity in 3+1 dimensions in the context of Einstein-Cartan theory. Generically the matter content gravitates in two different ways: On the one hand, the…

General Relativity and Quantum Cosmology · Physics 2015-03-12 Adolfo Toloza