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The most general stationary black-hole solution of Einstein-Maxwell theory in vacuum is the Kerr-Newman metric, specified by three parameters: mass M, spin J and charge Q. Within classical general relativity, the most important and…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Paolo Pani , Emanuele Berti , Leonardo Gualtieri

We investigate static inhomogeneous charged planar black hole solutions of the Einstein-Maxwell system in an asymptotically anti-de Sitter spacetime. Within the framework of linear perturbations, the solutions are numerically and…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Kengo Maeda , Takashi Okamura , Jun-ichirou Koga

Einstein's theory of gravity admits a low energy effective quantum field description from which predictions beyond classical general relativity can be drawn. As gravitational wave detectors improve, one may ask whether non-classical…

General Relativity and Quantum Cosmology · Physics 2023-06-19 Thiago Guerreiro

We consider charged rotating black holes in 5-dimensional Einstein-Maxwell theory. These black holes are asymptotically flat, they possess a regular horizon of spherical topology and two independent angular momenta associated with two…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Jutta Kunz , Francisco Navarro-Lerida , Anna Katinka Petersen

This is a brief summary of our studies of quantum field theories in a special limit in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyze the corresponding…

High Energy Physics - Theory · Physics 2008-11-26 E. Frenkel , A. Losev , N. Nekrasov

We study the twistor equation on pseudo-Riemannian $Spin^c-$manifolds whose solutions we call charged conformal Killing spinors (CCKS). We derive several integrability conditions for the existence of CCKS and study their relations to spinor…

Differential Geometry · Mathematics 2015-06-19 Andree Lischewski

A simple exact solution of the Einstein - Maxwell field equations for charged non-rotating black hole accelerated by an external electric field is presented. The background space-time, described by the well known Bertotti-Robinson solution,…

General Relativity and Quantum Cosmology · Physics 2025-11-11 G. A. Alekseev

In this work we use a general covariance breaking method to obtain a class of topological charged black holes whose background geometry asymptotically approaches Lifshitz spacetimes. We discuss how this mechanism affects Einstein's…

High Energy Physics - Theory · Physics 2024-01-24 D. C. Moreira , A. S. Lemos , F. A. Brito

Based on the covariant hamiltonian formalism, we study the dynamics of spinning test bodies in the Kerr and Schwarzschild spacetimes. For the first time, we derive the exact solution of circular orbits in the Kerr plane without truncating…

General Relativity and Quantum Cosmology · Physics 2021-09-22 Satish Kumar Saravanan

We study the stability of static as well as of rotating and charged black holes in (4+1)-dimensional Anti-de Sitter space-time which possess spherical horizon topology. We observe a non-linear instability related to the condensation of a…

High Energy Physics - Theory · Physics 2015-06-03 Y. Brihaye , B. Hartmann

We investigate the implications of the existence of Killing spinors in a spacetime. In particular, we show that in vacuum and electrovacuum a Killing spinor, along with some assumptions on the associated Killing vector in an asymptotic…

General Relativity and Quantum Cosmology · Physics 2016-05-25 Michael J. Cole , Juan A. Valiente Kroon

Einstein-Maxwell equations with a cosmological constant are analyzed in a four dimensional stationary spacetime admitting in addition a two dimensional group $G_2$ of spatial isometries. Charged rotating open and closed black string…

High Energy Physics - Theory · Physics 2009-10-28 José P. S. Lemos , Vilson T. Zanchin

Let (M^n,g) be a Riemannian spin manifold. The basic equations in supergravity models of type IIa string theory with 4-form flux involve a 3-form T, a 4-form F, a spinorial covariant derivative \nabla depending on \nabla^g, T, F, and a…

Differential Geometry · Mathematics 2008-11-26 Christof Puhle

The application of nonlinear electrodynamics at high energy scales has led to a variety of interesting phenomena in recent years, particularly within the context of non-singular spacetime geometries. Additionally, it is postulated that…

General Relativity and Quantum Cosmology · Physics 2025-11-04 Athanasios G. Tzikas

We show that the monopole scalar charge of black holes in Einstein--Maxwell--dilaton theory is proportional to the electric potential at the event horizon, with a proportionality factor given by (minus) the scalar coupling constant. We also…

General Relativity and Quantum Cosmology · Physics 2018-10-03 Costantino Pacilio

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

High Energy Physics - Theory · Physics 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

In a previous paper, the first two authors classified complete Ricci-flat ALF Riemannian 4-manifolds that are toric and Hermitian, but non-Kaehler. In this article, we consider general Ricci-flat deformations of such spaces, assuming only…

Differential Geometry · Mathematics 2023-11-14 Olivier Biquard , Paul Gauduchon , Claude LeBrun

We consider cones over manifolds admitting real Killing spinors and instanton equations on connections on vector bundles over these manifolds. Such cones are manifolds with special (reduced) holonomy. We generalize the scalar ansatz for a…

High Energy Physics - Theory · Physics 2015-06-04 Tatiana A. Ivanova , Alexander D. Popov

We study the stability of static spherically symmetric charged black holes under tensor type perturbations in Lovelock theory which is a natural higher dimensional generalization of Einstein theory. We derive the master equation for tensor…

General Relativity and Quantum Cosmology · Physics 2015-03-18 Tomohiro Takahashi

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