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We consider Einstein-Maxwell-Dilaton theory in $(2+1)$-dimensions where the coupling between the scalar field and the Maxwell invariant is the dilatonic coupling $f(\phi) = \exp (-2\alpha \phi)$ and obtain novel exact rotating black hole…

General Relativity and Quantum Cosmology · Physics 2023-02-02 Thanasis Karakasis , Eleftherios Papantonopoulos , Zi-Yu Tang , Bin Wang

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

General Relativity and Quantum Cosmology · Physics 2022-06-22 Fred Tomlinson

In recent work, Hollands, Kov\'acs and Reall have built on previous work of Wall to provide a definition of dynamical black hole entropy for gravitational effective field theories (EFTs). This entropy satisfies a second law of black hole…

High Energy Physics - Theory · Physics 2023-05-17 Iain Davies , Harvey S. Reall

In this paper, we consider the phase transition of black hole in power Maxwell invariant by means of Maxwell's equal area law. First, we review and study the analogy of nonlinear charged black hole solutions with the Van der Waals…

General Relativity and Quantum Cosmology · Physics 2018-03-26 Huai-Fan Li , Xiong-ying Guo , Hui-Hua Zhao , Ren Zhao

We modify and generalize the known solution for the electromagnetic field when a vacuum, stationary, axisymmetric black hole is immersed in a uniform magnetic field to the case of nonvacuum black holes (of modified gravity) and determine…

General Relativity and Quantum Cosmology · Physics 2016-07-26 Mustapha Azreg-Aïnou

We present a new class of regular, spherically symmetric spacetimes in nonlinear electrodynamics that are asymptotically dynamical but not de Sitter, exhibiting power-law Maxwell behavior at infinity. Generalizing to black holes, we derive…

General Relativity and Quantum Cosmology · Physics 2025-07-01 Yi-bo Liang , Hong-Rong Li

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald's formalism and a new definition of scalar charge as an integral over a 2-surface…

High Energy Physics - Theory · Physics 2023-06-07 Romina Ballesteros , Carmen Gómez-Fayrén , Tomás Ortín , Matteo Zatti

Using a generalized Weyl formalism, we show how stationary, axisymmetric solutions of the four-dimensional vacuum Einstein equation can be turned into static, axisymmetric solutions of five-dimensional dilaton gravity coupled to a two-form…

High Energy Physics - Theory · Physics 2009-11-10 Edward Teo

By resolving the Riemann curvature relative to a unit timelike vector into electric and magnetic parts, we consider duality relations analogous to the electromagnetic theory. It turns out that the duality symmetry of the Einstein action…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Naresh Dadhich

We report on some general results on the physics of extremal BPS black holes in four and five dimensions. The duality-invariant entropy-formula for all $N>2$ extended supergravities is derived. Its relation with the fixed-scalar condition…

High Energy Physics - Theory · Physics 2009-10-30 L. Andrianopoli , R. D'Auria , S. Ferrara

We construct regular black holes and stars that are geodesically complete and satisfy the dominant energy condition from Einstein-$f(F^2)$ gravities with several classes of analytic $f(F^2)$ functions that can be viewed as perturbations to…

General Relativity and Quantum Cosmology · Physics 2023-04-12 Zhi-Chao Li , H. Lu

By resolving the Riemann curvature into electric and magnetic parts, Einstein's equation can accordingly be written in terms of electric (active and passive) and magnetic parts. The electrogravity duality is defined by the interchange of…

General Relativity and Quantum Cosmology · Physics 2025-11-10 Chiranjeeb Singha , Naresh Dadhich

The area law of Bekenstein-Hawking entropy of the black hole suggests that the black hole should have a lower-dimensional holographic description. It has been found recently that such holographic pictures could be set up from the study of…

High Energy Physics - Theory · Physics 2013-05-14 Bin Chen , Jia-ju Zhang

The concept of electric-magnetic duality can be extended to linearized gravity. It has indeed been established that in four dimensions, the Pauli-Fierz action (quadratic part of the Einstein-Hilbert action) can be cast in a form that is…

High Energy Physics - Theory · Physics 2015-06-05 Claudio Bunster , Marc Henneaux , Sergio Hörtner

We review electric/magnetic duality in $N=4$ (and certain $N=2$) globally supersymmetric gauge theories and show how this duality, which relates strong to weak coupling, follows as a consequence of a string/string duality. Black holes,…

High Energy Physics - Theory · Physics 2011-04-15 M. J. Duff

We derive specific properties of electromagnetism when gravitational effects are not negligible and analyze their impact on new physics at the horizons of black holes. We show that a neutral configuration of charges in a region of high…

High Energy Physics - Theory · Physics 2023-12-20 Pierre Heidmann , Madhur Mehta

We revisit electric and magnetic surface charges and edge modes in four-dimensional Maxwell theory and QED on a spacetime with a finite spatial boundary. Using the S-wall, which implements electromagnetic duality, we clarify the dual…

High Energy Physics - Theory · Physics 2026-05-28 Keito Shimizu , Sotaro Sugishita

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

Given a solution to 4D Einstein gravity with an isometry direction, it is known that the equations of motion are identical to those of a 3D $\sigma$-model with target space geometry $SU(1,1)/U(1)$. Thus, any transformation by $SU(1, 1)…

High Energy Physics - Theory · Physics 2021-01-04 A. Banerjee , E. Ó Colgáin , J. A. Rosabal , H. Yavartanoo

We derive new bounds on higher-dimension operator coefficients in four-dimensional Einstein-Maxwell theory. Positivity of classically-generated corrections to the Wald entropy of thermodynamically stable, rotating dyonic black holes implies…

High Energy Physics - Theory · Physics 2019-08-06 Clifford Cheung , Junyu Liu , Grant N. Remmen
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