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We obtain the general static, spherically symmetric solution for the Einstein-Maxwell-dilaton system in four dimensions with a phantom coupling for the dilaton and/or the Maxwell field. This leads to new classes of black hole solutions,…

High Energy Physics - Theory · Physics 2009-11-06 Gerard Clement , Julio C. Fabris , Manuel Eleuterio Rodrigues

We systematically examine the properties of an electrically charged black hole in Eddington-inspired Born-Infeld gravity with not only the positive but also the negative coupling constant in the theory. As a result, we numerically find that…

General Relativity and Quantum Cosmology · Physics 2015-06-23 Hajime Sotani , Umpei Miyamoto

We study a method to solve stationary axisymmetric vacuum Einstein equations numerically. As an illustration, the five-dimensional doubly spinning black rings that have two independent angular momenta are formulated in a way suitable for…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Hideaki Kudoh

In this manuscript, we show that the external Schwarzschild metric can be a good approximation of exact black hole solutions of entangled relativity. Since entangled relativity cannot be defined from vacuum, the demonstrations need to rely…

General Relativity and Quantum Cosmology · Physics 2021-08-04 Olivier Minazzoli , Edison Santos

Using a recently developed effective field theory formalism for extreme mass ratios [2308.14832], we present a calculation of charged black hole scattering at third post-Minkowskian order. The charges and masses are kept arbitrary, and the…

High Energy Physics - Theory · Physics 2024-06-03 Jordan Wilson-Gerow

We consider rotating black hole solutions in five-dimensional Einstein-Maxwell-Chern-Simons theory with a negative cosmological constant and a generic value of the Chern-Simons coupling constant $\lambda$. Using both analytical and…

General Relativity and Quantum Cosmology · Physics 2017-03-29 Jose Luis Blázquez-Salcedo , Jutta Kunz , Francisco Navarro-Lérida , Eugen Radu

Recently, in the Einstein gravity, Majhi and Padmanabhan proposed a straightforward and transparent way in obtaining the Bekenstein-Hawking entropy by using the approach based on the Virasoro algebra and central charge. In this work, we…

High Energy Physics - Theory · Physics 2013-02-21 Shao-Jun Zhang , Bin Wang

An Inverse Scattering Method is developed for the Camassa-Holm equation. As an illustration of our approach the solutions corresponding to the reflectionless potentials are explicitly constructed in terms of the scattering data. The main…

Exactly Solvable and Integrable Systems · Physics 2007-05-23 Adrian Constantin , Vladimir S. Gerdjikov , Rossen I. Ivanov

Generalizations of the Black Hole geometry of Ba\~nados, Teitelboim and Zanelli (BTZ) are presented. The theory is three-dimensional vacuum Einstein theory with a negative cosmological constant. The $n$-black-hole solution has $n$…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Dieter R. Brill

We consider 5-dimensional Einstein-dilaton gravity with antisymmetric forms. Assuming staticity and a restriction on the dilaton coupling parameters, we derive 4-dimensional sigma-model with a target space $SL(2,R)/SO(1,1)\times…

High Energy Physics - Theory · Physics 2008-11-26 Stoytcho S. Yazadjiev

In this paper we consider the inverse electromagnetic scattering for a cavity surrounded by an inhomogeneous medium in three dimensions. The measurements are scattered wave fields measured on some surface inside the cavity, where such…

Analysis of PDEs · Mathematics 2020-12-10 Fang Zeng , Shixu Meng

A new method of construction of integral varieties of Einstein equations in three dimensional (3D) and 4D gravity is presented whereby, under corresponding redefinition of physical values with respect to anholonomic frames of reference with…

General Relativity and Quantum Cosmology · Physics 2010-02-03 Sergiu I. Vacaru

Ernst's solution generating technique is adapted to Einstein-Maxwell theory conformally (and minimally) coupled to a scalar field. This integrable system enjoys a SU(2,1) symmetry which enables one to move, by Kinnersley transformations,…

General Relativity and Quantum Cosmology · Physics 2013-04-24 Marco Astorino

We examine an exact solution which represents a charged black hole in a Kaluza-Klein universe in the five-dimensional Einstein-Maxwell theory. The spacetime approaches to the five-dimensional Kasner solution that describes expanding three…

High Energy Physics - Theory · Physics 2014-10-08 Yuki Kanou , Hideki Ishihara , Masashi Kimura , Ken Matsuno , Takamitsu Tatsuoka

We employ one-loop scattering amplitudes in Einstein-Maxwell theory to compute the classical Hamiltonian of a binary system of two charged, non-spinning compact objects. The Hamiltonian is valid to all orders in velocity and up to second…

High Energy Physics - Theory · Physics 2026-03-18 Allan Alonzo-Artiles , Manfred Kraus

We present new solutions to Einstein-Maxwell-dilaton-axion (EMDA) gravity in four dimensions describing black holes which asymptote to the linear dilaton background. In the non-rotating case they can be obtained as the limiting geometry of…

High Energy Physics - Theory · Physics 2009-11-07 Gerard Clement , Dmitri Gal'tsov , Cedric Leygnac

Rapidly-rotating black-hole spacetimes outside general relativity are key to many tests of Einstein's theory. We here develop an efficient spectral method to represent such spacetimes analytically, in closed-form, and to high accuracy, in a…

General Relativity and Quantum Cosmology · Physics 2026-01-21 Kelvin Ka-Ho Lam , Adrian Ka-Wai Chung , Nicolás Yunes

We review the recently discovered ansatz that describes non-extremal charged dilatonic branes of string/M-theory with a transverse circle. The ansatz involves a new coordinate system that interpolates between the spherical and cylindrical…

High Energy Physics - Theory · Physics 2009-11-10 T. Harmark , N. A. Obers

In the present work we study (i) charged black hole in Einstein-Gauss-Bonnet (EGB) theory, known as Einstein-Maxwell-Gauss-Bonnet (EMGB) black hole and (ii) black hole in EGB gravity with Yang-Mills field. The thermodynamic geometry of…

General Relativity and Quantum Cosmology · Physics 2010-02-11 Ritabrata Biswas , Subenoy Chakraborty

A class of perturbative charged rotating dilaton black hole solutions coupled to the nonlinear Born-Infeld electrodynamics is presented. The strategy for obtaining these solutions is to start from Myers-Perry solutions, and then considering…

General Relativity and Quantum Cosmology · Physics 2015-06-19 Masoud Allahverdizadeh , Seyed H. Hendi , Ahmad Sheykhi
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