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New spherically symmetric solution in 4D Einstein--Gauss--Bonnet gravity coupled with nonlinear electrodynamics is obtained. At infinity this solution has the Reissner--Nordstr\"{o}m behavior of the charged black hole. The black hole…

General Physics · Physics 2021-08-18 S. I. Kruglov

f(R) gravity is a well-known modification of General Relativity, that can be reduced to a scalar-tensor theory by a conformal transformation (Einstein frame). We study static spherically symmetric (SSS) asymptotically flat vacuum…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Valery I. Zhdanov

The Vlasov-Einstein system describes the evolution of an ensemble of particles (such as stars in a galaxy, galaxies in a galaxy cluster etc.) interacting only by the gravitational field which they create collectively and which obeys…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Gerhard Rein

A new solution to the Einstein-Maxwell field equations is presented describing a cylindrically symmetric homogeneous cosmology. The solution is conformally flat, it possesses seven Killing vectors of which the timelike one is rotating and…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Hector Vargas Rodriguez

We describe a class of unified theories of electromagnetism and gravity. The Lagrangian is of the BF type, with a potential for the B-field, the gauge group is U(2) (complexified). Given a choice of the potential function the theory is a…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Alexander Torres-Gomez , Kirill Krasnov , Carlos Scarinci

In this work a new asymptotically flat solution of the coupled Einstein-Born-Infeld equations for a static spherically symmetric space-time is obtained. When the intrinsic mass is zero the resulting spacetime is regular everywhere, in the…

General Relativity and Quantum Cosmology · Physics 2010-01-15 D. J. Cirilo-Lombardo

A new formulation of the Electroweak Model with 3-dimensional spherical geometry in the target space is suggested. The free Lagrangian in the spherical field space along with the standard gauge field Lagrangian form the full Higgsless…

High Energy Physics - Theory · Physics 2008-11-26 N. A. Gromov

We study charged fluid spheres under the 4-dimensional Einstein-Maxwell space-time. The solutions thus obtained admitting conformal motion. We also investigate whether the solutions set provide electromagnetic mass models such that the…

General Relativity and Quantum Cosmology · Physics 2011-07-04 Saibal Ray , A A Usmani , F Rahaman , M Kalam , K Chakraborty

Totally symmetric arbitrary spin conformal fields in (A)dS space of even dimension greater than or equal to four are studied. Ordinary-derivative and gauge invariant Lagrangian formulation for such fields is obtained. Gauge symmetries are…

High Energy Physics - Theory · Physics 2014-09-02 R. R. Metsaev

We consider interior static and spherically symmetric solutions in a gravity theory that extends the standard Hilbert-Einstein action with a Lagrangian constructed from a three-form field $A_{\alpha \beta \gamma}$, which generates, via the…

General Relativity and Quantum Cosmology · Physics 2021-04-14 Bruno J. Barros , Zahra Haghani , Tiberiu Harko , Francisco S. N. Lobo

In this paper we review some properties for the evolving wormhole solution of Einstein equations coupled with nonlinear electrodynamics. We integrate the geodesic equations in the effective geometry obeyed by photons; we check out the weak…

General Relativity and Quantum Cosmology · Physics 2010-01-08 Aaron V. B. Arellano , Nora Breton , Ricardo Garcia-Salcedo

Static spherically symmetric (SSS) solutions of f(R) gravity are studied in the Einstein frame. The solutions involve SSS configuration mass M and scalaron mass $\mu$ (in geometrized units); for typical astrophysical masses, the…

General Relativity and Quantum Cosmology · Physics 2025-07-28 V. I. Zhdanov

We construct new finite energy regular solutions in Einstein-Yang-Mills-SU(2) theory. They are static, axially symmetric and approach at infinity the anti-de Sitter spacetime background. These configurations are characterized by a pair of…

General Relativity and Quantum Cosmology · Physics 2014-12-17 Olga Kichakova , Jutta Kunz , Eugen Radu , Yasha Shnir

We study a theory of gravity of the form $f(\mathcal{G})$ where $\mathcal{G}$ is the Gauss-Bonnet topological invariant without considering the standard Einstein-Hilbert term as common in the literature, in arbitrary $(d+1)$ dimensions. The…

General Relativity and Quantum Cosmology · Physics 2020-01-30 Francesco Bajardi , Konstantinos F. Dialektopoulos , Salvatore Capozziello

We obtain a new exact solution to the field equations in the EGB modified theory of gravity for a 5-dimensional spherically symmetric static distribution. By using a transformation, the study is reduced to the analysis of a single second…

General Relativity and Quantum Cosmology · Physics 2015-12-31 Sudan Hansraj , Brian Chilambwe , Sunil D. Maharaj

A class of exact solutions for the Einstein-Maxwell field equations are obtained by assuming the erstwhile cosmological constant $ \Lambda $ to be a space-variable scalar, viz., $ \Lambda =\Lambda(r) $. The source considered here is static,…

General Relativity and Quantum Cosmology · Physics 2011-03-04 R. N. Tiwari , Saibal Ray , Sumana Bhadra

Stationary circularly symmetric solutions of General Relativity with negative cosmological constant coupled to the Maxwell field are analyzed in three spacetime dimensions. Taking into account that the fall-off of the fields is slower than…

High Energy Physics - Theory · Physics 2015-11-04 Alfredo Perez , Miguel Riquelme , David Tempo , Ricardo Troncoso

We review spherical and inhomogeneous analytic solutions of the field equations of Einstein and of scalar-tensor gravity, including Brans-Dicke theory, non-minimally (possibly conformally) coupled scalar fields, Horndeski, and beyond…

General Relativity and Quantum Cosmology · Physics 2021-07-28 Valerio Faraoni , Andrea Giusti , Bardia H. Fahim

Recently, the identification of new higher-curvature interactions known as Einsteinian cubic gravity (ECG) and Generalized quasi-topological gravities (GQGs) has allowed for important advances in the study of black hole solutions and…

High Energy Physics - Theory · Physics 2019-12-17 Pablo A. Cano

The set of all possible spherically symmetric magnetic static Einstein-Yang-Mills field equations for an arbitrary compact semi-simple gauge group $G$ was classified in two previous papers. Local analytic solutions near the center and a…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Todd A. Oliynyk , H. P. Kunzle