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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 investigate the thermodynamic properties of the Kerr-Bertotti-Robinson black hole, an exact Petrov type D solution of Einstein-Maxwell theory describing a rotating black hole immersed in an external electromagnetic field. While the…

General Relativity and Quantum Cosmology · Physics 2026-03-20 Li Hu , Rong-Gen Cai , Shao-Jiang Wang

We present stationary and axially-symmetric black hole solutions to the Einstein field equations sourced by an anisotropic fluid, describing rotating black holes embedded in astrophysical environments. We compute their physical properties,…

General Relativity and Quantum Cosmology · Physics 2025-11-19 Pedro G. S. Fernandes , Vitor Cardoso

We investigate the horizon structure and ergosphere in a rotating Bardeen regular black hole, which has an additional parameter ($g$) due to magnetic charge, apart from mass ($M$) and rotation parameter ($a$). Interestingly, for each value…

General Relativity and Quantum Cosmology · Physics 2016-01-20 Sushant G. Ghosh , Muhammed Amir

Standard models of "regular black holes" typically have asymptotically de Sitter regions at their cores. Herein we shall consider novel "hollow" regular black holes, those with asymptotically Minkowski cores. The reason for doing so is…

General Relativity and Quantum Cosmology · Physics 2021-04-30 Alex Simpson , Matt Visser

We present a novel approach for the construction of interior solutions for the Kerr metric, extending J. Ovalle's foundational work through ellipsoidal coordinate transformations. By deriving a physically plausible interior solution that…

General Relativity and Quantum Cosmology · Physics 2025-01-30 Yu-Ching Chou

The low-energy limit of string theory contains an anomaly-canceling correction to the Einstein-Hilbert action, which defines an effective theory: Chern-Simons (CS) modified gravity. The CS correction consists of the product of a scalar…

General Relativity and Quantum Cosmology · Physics 2009-10-29 Nicolas Yunes , Frans Pretorius

New formulae are obtained for the energy of K.N. b.h.'s that point out a gravitomagnetic energy effect. The results are valid for slowly or rapidly rotating black-holes. The expression of the energy density of Kerr-Newman back-holes in the…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Marcelo Samuel Berman

The strong gravitational lensing of a regular and rotating magnetic black hole in non-minimally coupled Einstein-Yang-Mills theory is studied. We find that, with the increase of any characteristic parameters of this black hole, such as the…

General Relativity and Quantum Cosmology · Physics 2023-10-16 Ruanjing Zhang , Jiliang Jing , Zhipeng Peng , Qihong Huang

The problem of the existence of particles with negative energies inside and outside of Schwarzschild, charged and rotating black holes is investigated. Different definitions of the energy of the particle inside the Schwarzschild black hole…

General Relativity and Quantum Cosmology · Physics 2011-08-19 A. A. Grib , Yu. V. Pavlov

We present the metric for a rotating black hole with a cosmological constant and with arbitrary angular momenta in all higher dimensions. The metric is given in both Kerr-Schild and Boyer-Lindquist form. In the Euclidean-signature case, we…

High Energy Physics - Theory · Physics 2010-04-06 G. W. Gibbons , H. Lu , D. N. Page , C. N. Pope

We study the perturbations of scalar, vector, and tensor fields in a slowly rotating Kerr-(Anti-)de Sitter black hole spacetime, presenting new and existing Schr\"odinger style master equations for each type of perturbation up to linear…

General Relativity and Quantum Cosmology · Physics 2018-12-06 Oliver J. Tattersall

We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions. By using the 1/D expansion in the near region of the black hole we obtain the effective equations for the charged slowly rotating black…

High Energy Physics - Theory · Physics 2017-05-24 Bin Chen , Peng-Cheng Li , Zi-zhi Wang

A long march of fifty years of successive theoretical progress and new physics discovered using observations of gamma-ray bursts, has finally led to the formulation of an efficient mechanism able to extract the rotational energy of a Kerr…

General Relativity and Quantum Cosmology · Physics 2022-01-26 J. A. Rueda , R. Ruffini

In ApJ (1974), Will solved the perturbation of a Schwarzschild black hole due to a slowly rotating light concentric thin ring, using Green's functions expressed as infinite-sum expansions in multipoles and in the small mass and rotational…

General Relativity and Quantum Cosmology · Physics 2018-04-09 P. Kotlařík , O. Semerák , P. Čížek

The combined effect of a strong gravitational field and electromagnetic field in the vicinity of a generic regular black hole related to non-linear electrodynamics with Maxwellian weak-field limit on the radiation flux of a hot spot…

General Relativity and Quantum Cosmology · Physics 2021-12-10 Dmitriy Ovchinnikov , Jan Schee , Zdenek Stuchlík , Bobomurat Ahmedov

In the present paper, we consider a rotating black hole moving in a homogeneous massless scalar field. We assume that the field is weak and neglect its backreaction, so that the metric at far distance from the black hole is practically…

General Relativity and Quantum Cosmology · Physics 2024-01-05 Valeri Frolov

Emergent modified gravity provides a covariant framework for holonomy effects in models of loop quantum gravity with consistent black hole solutions coupled to a scalar field. Several independent studies of the Hawking thermal distribution…

General Relativity and Quantum Cosmology · Physics 2026-02-13 Idrus Husin Belfaqih , Martin Bojowald , Suddhasattwa Brahma , Erick I. Duque

The strategy of obtaining the familiar Kerr-Newman solution in general relativity is based on either using the metric ansatz in the Kerr-Schild form, or applying the method of complex coordinate transformation to a non-rotating charged…

High Energy Physics - Theory · Physics 2008-11-26 A. N. Aliev

We discuss the solution to Einstein's equations for a Lense-Thirring inspired metric describing a slowly rotating black hole coupled to nonlinear electrodynamics. We show that different schemes of rotation for the black hole exist; they…

General Relativity and Quantum Cosmology · Physics 2018-12-26 Claus Lämmerzahl , Marco Maceda , Alfredo Macías
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