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We discuss the initial value problem for the Einstein equations in Hitchin's generalised geometry for the case of closed divergence (which correspond to the equations of motion in the bosonic part of the NS-NS sector in type II…

Differential Geometry · Mathematics 2026-01-09 Oskar Schiller

The resolution of the nonlinear stability of black holes as solutions to the Einstein equations relies crucially on imposing the right geometric gauge conditions. In the vacuum case, the use of Generally Covariant Modulated (GCM) spheres…

General Relativity and Quantum Cosmology · Physics 2025-10-14 Allen Juntao Fang , Elena Giorgi , Jingbo Wan

Low energy limits of a string theory suggest that the gravity action should include quadratic and higher-order curvature terms, in the form of dimensionally continued Gauss-Bonnet densities. Einstein-Gauss-Bonnet is a natural extension of…

General Relativity and Quantum Cosmology · Physics 2018-06-19 Sushant G. Ghosh

We study Einstein's gravity coupled to nonlinear electrodynamics with two parameters in Anti-de Sitter spacetime. Magnetically charged black holes in an extended phase space is investigated. We obtain the mass and metric functions, their…

General Physics · Physics 2024-08-09 S. I. Kruglov

Which theories have a higher dimensional origin in String/M-theory is a non trivial question and it is still far from being understood in the constrained scenario of maximal supergravities. After 35 years of progress in this direction we…

High Energy Physics - Theory · Physics 2015-12-18 Walter H. Baron

The correspondence of stationary, axisymmetric, asymptotically flat space-times and bundles over a reduced twistor space has been established in four dimensions. The main impediment for an application of this correspondence to examples in…

General Relativity and Quantum Cosmology · Physics 2012-07-03 Norman Metzner

In the framework of Einstein-Maxwell theory, we consider collinear arrays of rotating electrically charged black holes connected by Misner-Dirac strings carrying gravimagnetic and magnetic fluxes. The first law of mechanics for these…

General Relativity and Quantum Cosmology · Physics 2023-09-08 Gérard Clément , Dmitry Gal'tsov

We study Einstein's gravity with negative cosmological constant coupled to nonlinear electrodynamics proposed earlier. The metric and mass functions and corrections to the Reissner--Nordstr\"{o}m solution are obtained. Black hole solutions…

General Physics · Physics 2024-08-12 S. I. Kruglov

In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account $(2+1)$-dimensional spacetime in Einstein-PMI gravity and obtain its black hole…

High Energy Physics - Theory · Physics 2014-10-29 S. H. Hendi , B. Eslam Panah , R. Saffari

We set up an Einstein-Gauss-Bonnet theory in four dimensions, based on the recent formulation of pure gravity with extra dimensions of vanishing metrical length [1]. In absence of torsion, the effective field equations depend only on the…

General Relativity and Quantum Cosmology · Physics 2022-02-11 Sandipan Sengupta

The dimensional reduction of black hole solutions in four-dimensional (4D) general relativity is performed and new 3D black hole solutions are obtained. Considering a 4D spacetime with one spacelike Killing vector, it is possible to split…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Vilson T. Zanchin , Antares Kleber , Jose' P. S. Lemos

In this paper, we study the model of the late universe with the homogeneous, isotropic and flat Friedmann-Robertson-Walker metric, where the source of the gravitational field is based on the fermion and boson field, with the Maxwell term…

General Relativity and Quantum Cosmology · Physics 2020-07-13 O. Razina , P. Tsyba , B. Meirbekov , R. Myrzakulov

In Einstein-Maxwell theory, magnetic flux lines are `expelled' from a black hole as extremality is approached, in the sense that the component of the field strength normal to the horizon goes to zero. Thus, extremal black holes are found to…

High Energy Physics - Theory · Physics 2009-10-07 A. Chamblin , R. Emparan , G. W. Gibbons

One of the most important achievements in general relativity has been discovery of the $(2+1)$-dimensional black hole solutions of Einstein gravity in anti-de Sitter (AdS) spacetime [Phys. Rev. Lett. {\bf69}, 1849 (1992)]. In this paper, we…

General Relativity and Quantum Cosmology · Physics 2021-02-12 Ahmad Sheykhi

We consider the Einstein-Maxwell equations in space-dimension $n$. We point out that the Lindblad-Rodnianski stability proof applies to those equations whatever the space-dimension $n\ge 3$. In even space-time dimension $n+1\ge 6$ we use…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Yvonne Choquet-Bruhat , Piotr T. Chrusciel , Julien Loizelet

The three-dimensional static and circularly symmetric solution of the Einstein-Born-Infeld-dilaton system is derived. The solutions corresponding to low energy string theory are investigated in detail, which include black hole solutions if…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Ryo Yamazaki , Daisuke Ida

Thermodynamics of black holes offers a promising avenue for exploring the quantum nature of black holes and quantum gravity. In this Letter, we investigate the thermodynamic properties of dyonic black holes in the five-dimensional…

General Relativity and Quantum Cosmology · Physics 2024-10-02 Rong-Gen Cai , Li Li , Jun-Kun Zhao

We construct black hole solutions to three-dimensional Einstein-Maxwell theory with both gravitational and electromagnetic Chern-Simons terms. These intrinsically rotating solutions are geodesically complete, and causally regular within a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 K. Ait Moussa , G. Clement , H. Guennoune , C. Leygnac

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

External magnetic fields can probe the composite structure of black holes in string theory. With this motivation we study magnetised four-charge black holes in the STU model, a consistent truncation of maximally supersymmetric supergravity…

High Energy Physics - Theory · Physics 2015-06-17 M. Cvetic , G. W. Gibbons , C. N. Pope , Z. H. Saleem