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Three different classes of static solutions of the Einstein--Maxwell equations non--minimally coupled to a dilaton field are presented. The solutions are given in general in terms of two arbitrary harmonic functions and involve among others…

General Relativity and Quantum Cosmology · Physics 2016-08-15 Tonatiuh Matos , Darío Núñez , Hernando Quevedo

We study spherically symmetric solutions to the Jordan-Brans-Dicke field equations under the assumption that the space-time may possess an arbitrary number of spatial dimensions. Assuming a perfect fluid with the equation of state, we show…

General Relativity and Quantum Cosmology · Physics 2007-05-23 S. M. Kozyrev

We construct new charged solutions of the Einstein-Maxwell field equations with cosmological constant. These solutions describe the nut-charged generalisation of the higher dimensional Reissner-Nordstr\"{o}m spacetimes. For a negative…

High Energy Physics - Theory · Physics 2007-05-23 Robert B. Mann , Cristian Stelea

The Einstein-Maxwell (or Einstein) system of field equations plays a substantial role in the modeling of compact stars. Although due to its non-linearity getting an exact solution for the system of field equations is a difficult task, the…

General Relativity and Quantum Cosmology · Physics 2022-01-26 Jitendra Kumar , Puja Bharti

The multiyear problem of a two-body system consisting of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full Einstein-Maxwell system of equations. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bini , A. Geralico , R. Ruffini

We study the dynamics of two-component Bose-Einstein condensates in periodic potentials in one dimension. Elliptic potentials which have the sinusoidal optical potential as a special case are considered. We construct exact nonstationary…

Pattern Formation and Solitons · Physics 2009-11-10 R. Mark Bradley , Bernard Deconinck , J. Nathan Kutz

We describe the equation of motion of two charged spherical shells with tangential pressure in the field of a central Reissner-Nordstrom (RN) source. We solve the problem of determining the motion of the two shells \textsl{after} the…

General Relativity and Quantum Cosmology · Physics 2010-01-06 Marco Pizzi , Armando Paolino

We give a non-static exact solution of the Einstein-Maxwell equations (with null fluid), which is a non-static magnetic charge generalization to the Bonnor-Vaidya solution and describes the gravitational and electromagnetic fields of a…

High Energy Physics - Theory · Physics 2009-10-28 A. Chamorro , K. S. Virbhadra

We obtain a class of rotating charged stationary circularly symmetric solutions of Einstein-Maxwell theory coupled to a topological mass term for the Maxwell field. These solutions are regular, have finite mass and angular momentum, and are…

General Relativity and Quantum Cosmology · Physics 2008-02-03 Sharmanthie Fernando , Freydoon Mansouri

We obtain an exact solution of Einstein's equations for a charged, static and spherically symmetric body, surrounded by a fluid of strings and with a cosmological constant. This corresponds to the Reissner-Nordstr\"om (de Sitter)-Anti de…

General Relativity and Quantum Cosmology · Physics 2020-12-30 J. M. Toledo , V. B. Bezerra

We discuss conformally flat plane wave solutions of Einstein equations depending on the plane wave phase $\xi=\omega\tau-{\bf qx}$, where $\tau$ is the conformal time. We show that ideal fluid Einstein equations and scalar fields with…

General Relativity and Quantum Cosmology · Physics 2020-02-26 Z. Haba

I derive an exact, static, axially symmetric solution of the Einstein-Maxwell equations representing two massless magnetic dipoles, and compare it with the corresponding solution of Einstein's equations for two massless spinning particles…

General Relativity and Quantum Cosmology · Physics 2009-11-07 W. B. Bonnor

I use the Newtonian equation of hydrostatic equilibrium for an isotropic fluid sphere to generate exact anisotropic solutions of Einstein's equations. The input function is simply the density. An infinite number of regular solutions are…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Kayll Lake

Classes of exact static solutions in four-dimensional Einstein-Maxwell-Dilaton gravity are found. Besides of the well-known solutions previously found in the literature, new solutions are presented.It's shown that spherically symmetric…

General Relativity and Quantum Cosmology · Physics 2009-10-31 S. Yazadjiev

We construct two classes of exact solutions to six and higher dimensional Einstein-Maxwell theory in which the metric functions can be written as convolution-like integrals of two special functions. The solutions are regular everywhere and…

High Energy Physics - Theory · Physics 2014-11-05 A. M. Ghezelbash

Recently, Alekseev and Belinski have presented a new exact solution of the Einstein-Maxwell equations which describes two Reissner-Nordstrom (RN) sources in reciprocal equilibrium (no struts nor strings); one source is a naked singularity,…

General Relativity and Quantum Cosmology · Physics 2008-11-26 A. Paolino , M. Pizzi

We ask the following question: Of the exact solutions to Einstein's equations extant in the literature, how many could represent the field associated with an isolated static spherically symmetric perfect fluid source? The candidate…

General Relativity and Quantum Cosmology · Physics 2008-11-26 M. S. R. Delgaty , Kayll Lake

The notion of a compact object immune to the horizon problem and comprising an anisotropic inhomogeneous fluid with a specific radial pressure behavior, i.e. the gravastar, is extended by introducing an electrically charged component.…

General Relativity and Quantum Cosmology · Physics 2009-01-16 Dubravko Horvat , Sasa Ilijic , Anja Marunovic

Charged static and rotating objects as solutions of the Einstein-Maxwell field equations are obtained and studied in the present work. The full spacetime geometry is obtained by matching two spacetime regions, an interior region containing…

General Relativity and Quantum Cosmology · Physics 2024-12-19 Marcos L. W. Basso , Vilson T. Zanchin

Static solutions of the electro-gravitational field equations exhibiting a functional relationship between the electric and gravitational potentials are studied. General results for these metrics are presented which extend previous work of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Brendan S. Guilfoyle
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