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We survey many of the important properties of spherically symmetric spacetimes as follows. We present several different ways of describing a spherically symmetric spacetime and the resulting metrics. We then focus our discussion on an…

General Relativity and Quantum Cosmology · Physics 2014-10-10 Alan R. Parry

We present numerical evidences for the existence of rotating black hole solutions in d-dimensional Einstein-Maxwell theory with a cosmological constant and for $d$ odd. The metric used possesses $(d+1)/2$ Killing vectors and the solutions…

General Relativity and Quantum Cosmology · Physics 2009-07-30 Y. Brihaye , T. Delsate

A class of metrics solving Einstein's equations with negative cosmological constant and representing rotating, topological black holes is presented. All such solutions are in the Petrov type-$D$ class, and can be obtained from the most…

General Relativity and Quantum Cosmology · Physics 2014-11-17 D. Klemm , V. Moretti , L. Vanzo

The first exact rotating charged black hole solution to the Einstein{nonlinear electrodynamics theory is reported. It is equipped with mass, rotation parameter, electric and magnetic charges, and three parameters due to the electrodynamics:…

General Relativity and Quantum Cosmology · Physics 2021-12-14 Alberto A. Garcia-Diaz

We briefly summarise the basic properties of spacetimes representing rotating, charged black holes in strong axisymmetric magnetic fields. We concentrate on extremal cases, for which the horizon surface gravity vanishes. We investigate…

General Relativity and Quantum Cosmology · Physics 2015-10-02 Filip Hejda , Jiří Bičák

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

This note includes results of a study of stationary spherically symmetric ``dark holes'', objects merging central black holes and peripheral scalar graviton dark haloes arising in the framework of the modified gravity -- the quartet-metric,…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Yu. F. Pirogov , O. V. Zenin

Entangled Relativity is a non-linear reformulation of Einstein's General Theory of Relativity (General Relativity) that offers a more parsimonious formulation. This non-linear approach notably requires the simultaneous definition of matter…

General Relativity and Quantum Cosmology · Physics 2025-02-06 Maxime Wavasseur , Theo Abrial , Olivier Minazzoli

By deriving and solving the gravitational and electromagnetic field equations in $f(R,T)$ gravity coupled with nonlinear electrodynamics, we obtain a static spherically symmetric charged solution that incorporates higher-order correction…

General Relativity and Quantum Cosmology · Physics 2025-11-26 Tianyou Ren , Zhenglong Ban , Yaobin Hua , Rong-Jia Yang

Using spacetime algebra, the geometric algebra of spacetime, the general problem of relativistic addition of velocities is addressed. The successive application of non-collinear Lorentz boosts is then studied in Minkowski spacetime. Even…

Classical Physics · Physics 2007-05-23 Carlos R. Paiva , Marco A. Ribeiro

We present and analyze a class of exact spacetimes which describe accelerating black holes with a NUT parameter. First, we verify that the intricate metric found by Chng, Mann and Stelea in 2006 indeed solves Einstein's vacuum field…

General Relativity and Quantum Cosmology · Physics 2020-10-14 Jiri Podolsky , Adam Vratny

The question of existence of general, asymptotically flat radiative spacetimes and examples of explicit classes of radiative solutions of Einstein's field equations are discussed in the light of some new developments. The examples are…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Jiri Bicak

Solutions pertaining to a Kerr black hole with a flat horizon undergoing gradual rotation are explored in the context of gravitational theories modified by dynamical Chern-Simons terms with cylindrical metrics, which approach asymptotically…

General Relativity and Quantum Cosmology · Physics 2023-11-16 G. G. L. Nashed , Kazuharu Bamba

We present arguments for the existence of charged, rotating black holes in $d=2N+1$ dimensions, with $d\geq 5$ with a positive cosmological constant. These solutions posses both, a regular horizon and a cosmological horizon of spherical…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Y. Brihaye , T. Delsate

This manuscript aims to provide a comprehensive derivation of the Einstein-Maxwell charges and fluxes in the near-horizon region of a four-dimensional non-extremal black hole, with vanishing cosmological constant. Specifically, we present a…

High Energy Physics - Theory · Physics 2026-02-25 Gianfranco De Simone

Here, we present a review about the quantization of spherically-symmetric spacetimes adopting loop quantum gravity techniques. Several models that have been studied so far share similar properties: the resolution of the classical…

General Relativity and Quantum Cosmology · Physics 2016-06-22 Javier Olmedo

We investigate the general process of black hole pair creation in a cosmological background, considering the creation of charged and rotating black holes. We motivate the use of Kerr-Newmann-deSitter solutions to investigate this process,…

General Relativity and Quantum Cosmology · Physics 2009-10-31 I. S. Booth , R. B. Mann

We wish to carry forward to higher dimensions the insightful and novel method of obtaining the Kerr metric proposed by one of us [Gen. Relativ. Gravit. 45, 2383 (2013)] for deriving the Myers-Perry rotating black hole metric. We begin with…

General Relativity and Quantum Cosmology · Physics 2022-06-30 Amin Aghababaie Dastgerdi , Behrouz Mirza , Naresh Dadhich

Within the framework of metric-affine gravity (MAG, metric and an independent linear connection constitute spacetime), we find, for a specific gravitational Lagrangian and by using {\it prolongation} techniques, a stationary axially…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Peter Baekler , Friedrich W. Hehl

We obtain rotating black hole solutions to the Einstein-Maxwell equations with the cosmological constant. There are eight parameters in the solutions. They are the physical mass $M$, the electric charge $Q$, the specific angular momentum…

General Relativity and Quantum Cosmology · Physics 2025-10-27 Changjun Gao
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