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In this work we have obtained a charged black hole solution in the presence of perfect fluid dark matter (PFDM) and discuss its energy conditions. The metric corresponding to the rotating avatar of this black hole solution is obtained by…

General Relativity and Quantum Cosmology · Physics 2021-02-23 Anish Das , Ashis Saha , Sunandan Gangopadhyay

Motivated by quantum-gravity scenarios that replace the classical black hole singularity with a regular core, and by the possibility that the dark-energy sector may be scale dependent, we construct a broad class of nonsingular rotating…

General Relativity and Quantum Cosmology · Physics 2026-01-27 Ramon Torres

We review black hole solutions of higher-dimensional vacuum gravity, and of higher-dimensional supergravity theories. The discussion of vacuum gravity is pedagogical, with detailed reviews of Myers-Perry solutions, black rings, and…

High Energy Physics - Theory · Physics 2015-05-13 Roberto Emparan , Harvey S. Reall

We specify an angular motion on geodesics to reduce the problem to the case of radial motion elaborated in previous chapters. An appropriate value of entropy for a charged and rotating black hole is obtained by calculating the partition…

General Relativity and Quantum Cosmology · Physics 2007-05-23 V. V. Kiselev

We show the existence of exponentially growing finite energy solutions for the charged Klein-Gordon equation on the De Sitter-Kerr-Newman metric for small charge and mass of the field and small angular momentum of the black hole. The…

Analysis of PDEs · Mathematics 2020-04-07 Nicolas Besset , Dietrich Häfner

This work describes new perturbative solutions to the classical, four-dimensional Kerr--Newman dilaton black hole field equations. Our solutions do not require the black hole to be slowly rotating. The unperturbed solution is taken to be…

High Energy Physics - Theory · Physics 2008-11-26 R. Casadio , B. Harms , Y. Leblanc , P. H. Cox

We consider a particular truncation of the generalized Proca field theory in four dimensions for which we construct a static and axisymmetric rotating black hole "stealth solutions", namely solutions with (Anti) de Sitter or Kerr metric but…

General Relativity and Quantum Cosmology · Physics 2016-11-29 Adolfo Cisterna , Mokhtar Hassaine , Julio Oliva , Massimiliano Rinaldi

In this paper we consider magnetized black holes and black rings in the higher dimensional dilaton gravity. Our study is based on exact solutions generated by applying a Harrison transformation to known asymptotically flat black hole and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Stoytcho S. Yazadjiev

This paper presents a new metric for slowly rotating charged Gauss-Bonnet black holes in higher dimensional anti-de Sitter spaces. Taking the angular momentum parameter $a$ up to second order, the slowly rotating charged black hole…

General Relativity and Quantum Cosmology · Physics 2015-05-28 De-Cheng Zou , Zhan-Ying Yang , Rui-Hong Yue , Tian-Yi Yu

Within a framework requiring a well-defined event horizon and matter obeying the weak energy condition, we employ gravitational decoupling method to construct non-singular hairy black holes: spherically or axially symmetric. These solutions…

General Relativity and Quantum Cosmology · Physics 2026-04-14 Yaobin Hua , Zhenglong Ban , Tian-You Ren , Jia-Jun Yin , Rong-Jia Yang

The closed-form expression for pure $\mathcal{R}^{2}$ vacuum solution obtained in Phys. Rev. D \textbf{107}, 104008 (2023) lends itself to a generalization to axisymmetric setup via the modified Newman--Janis algorithm. We adopt the…

General Relativity and Quantum Cosmology · Physics 2023-12-01 Mustapha Azreg-Aïnou , Hoang Ky Nguyen

We obtain rotating black hole metric for higher dimensional Einstein and pure Lovelock gravity by employing two independent and well motivated methods. One is based on the principle of incorporation of Newtonian acceleration for timelike…

General Relativity and Quantum Cosmology · Physics 2013-09-27 Naresh Dadhich , Sushant G. Ghosh

This paper contains a brief review of the remarkable properties of higher dimensional rotating black holes with the spherical topology of the horizon. We demonstrate that these properties are connected with and generated by a special…

General Relativity and Quantum Cosmology · Physics 2012-10-29 Valeri P. Frolov

We develop solution-generating techniques for stationary metrics with one angular momentum and axial symmetry, in the presence of a cosmological constant and in arbitrary spacetime dimension. In parallel we study the related lower…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Christos Charmousis , David Langlois , Daniele Steer , Robin Zegers

The strong gravitational field near massive blackhole is an interesting regime to test General Relativity(GR) and modified gravity theories. The knowledge of spacetime metric around a blackhole is a primary step for such tests. Solving…

General Relativity and Quantum Cosmology · Physics 2020-08-26 Utkarsh Kumar , Sukanta Panda , Avani Patel

We consider a generalized three-dimensional theory of gravity which is specified by two fields, the graviton and the dilaton, and one parameter. This theory contains, as particular cases, three-dimensional General Relativity and…

High Energy Physics - Theory · Physics 2014-11-18 P. M. Sá , J. P. S. Lemos

We find an exact, rotating charged black hole solution within Eddington-inspired Born-Infeld gravity. To this end we employ a recently developed correspondence or {\it mapping} between modified gravity models built as scalars out of…

General Relativity and Quantum Cosmology · Physics 2021-02-02 Merce Guerrero , Gerardo Mora-Pérez , Gonzalo J. Olmo , Emanuele Orazi , Diego Rubiera-Garcia

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

It is widely believed that the curvature singularities are an artifact of general relativity and may not exist in the Universe, and likely to be defined by the quantum gravity. In the absence of successful quantum gravity, significant…

General Relativity and Quantum Cosmology · Physics 2020-08-25 Fazlay Ahmed , Dharm Veer Singh , Sushant G Ghosh

We study the quasinormal modes of massive Dirac spinors in the background of rotating black holes. In particular, we consider the Kerr geometry as well as the five dimensional Myers-Perry spacetime with equal angular momenta. We decouple…

General Relativity and Quantum Cosmology · Physics 2019-04-30 Jose Luis Blázquez-Salcedo , Christian Knoll