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In this article we consider the static spherically symmetric spacetime metric of embedding class one. Specifically three new electromagnetic mass models are derived where the solutions are entirely dependent on the electromagnetic field,…

General Relativity and Quantum Cosmology · Physics 2015-06-09 S. K. Maurya , Y. K. Gupta , Saibal Ray , Sourav Roy Chowdhury

We construct the general spherically symmetric and self-similar solution of the Einstein-Vlasov system (collisionless matter coupled to general relativity) with massless particles, under certain regularity conditions. Such solutions have a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Jose M. Martin-Garcia , Carsten Gundlach

In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields. The family comprises all covariant electromagnetic models that satisfy the following…

Analysis of PDEs · Mathematics 2016-01-20 Jared Speck

Under the static spherically symmetric Einstein-Maxwell spacetime of embedding class one we explore possibility of electromagnetic mass model where mass and other physical parameters have purely electromagnetic origin (Tiwari 1984, Gautreau…

General Relativity and Quantum Cosmology · Physics 2016-10-19 S. K. Maurya , Y. K. Gupta , Saibal Ray , Vikram Chatterjee

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

Mathematical Physics · Physics 2015-05-18 N. A. Gromov

A regular static, spherically symmetric electrically charged black hole solution of general relativity coupled to a new theory for nonlinear electrodynamics is presented. This theory has the interesting feature that, at far distances from…

High Energy Physics - Theory · Physics 2021-08-27 Mohammad Bagher Jahani Poshteh , Nematollah Riazi

We consider static, spherically symmetric configurations in general relativity, supported by nonlinear electromagnetic fields with gauge-invariant Lagrangians depending on the single invariant $f = F_{\mu\nu} F^{\mu\nu}$. After a brief…

General Relativity and Quantum Cosmology · Physics 2020-10-20 K. A. Bronnikov

We consider static, spherically symmetric configurations of nonlinear electromagnetic fields with Lagrangians $L(f)$, where $f = F_{\mu\nu} F^{\mu\nu}$, in general relativity (GR) and other metric theories of gravity. The corresponding…

General Relativity and Quantum Cosmology · Physics 2026-04-28 K. A. Bronnikov , S. V. Bolokhov , G. S. Nurbakova , B. Tynyshbay

We obtain the static spherically symmetric solutions of a class of gravitational models whose additions to the General Relativity (GR) action forbid Ricci-flat, in particular, Schwarzschild geometries. These theories are selected to…

General Relativity and Quantum Cosmology · Physics 2008-11-07 S. Deser , O. Sarioglu , B. Tekin

In this report the exact rotating charged black hole solution to the Einstein--nonlinear electrodynamics theory with a cosmological constant is presented. This black hole is equipped with mass, rotation parameter, electric and magnetic…

General Relativity and Quantum Cosmology · Physics 2022-05-25 Alberto A. García Díaz

In this paper we study regular cosmic string solutions of the non-Abelian Higgs model coupled with the Einstein gravity. In order to do that, we constructed a set of coupled differential ordinary equation. Because there is no closed…

High Energy Physics - Theory · Physics 2015-07-08 Antônio de Pádua Santos , Eugênio R. Bezerra de Mello

We investigate static, spherically symmetric solutions in Einstein-scalar-Gauss-Bonnet gravity non-minimally coupled to a massless real scalar field, both in vacuum and in the presence of fermionic matter. Focusing on a specific quadratic…

General Relativity and Quantum Cosmology · Physics 2025-11-03 Roberto D. Alba Q. , Javier Chagoya , Armando A. Roque

Motivated by the ideas of Jacob Bekenstein concerning gravity-assisted symmetry breaking, we consider a non-canonical model of f(R)=R+R^2 extended gravity coupled to neutral scalar "inflaton", as well as to SU(2)xU(1) multiplet of fields…

General Relativity and Quantum Cosmology · Physics 2018-04-24 Eduardo Guendelman , Emil Nissimov , Svetlana Pacheva

The classes of electrovacuum Einstein - Maxwell fields (with a cosmological constant), which metrics admit an Abelian two-dimensional isometry group $\mathcal{G}_2$ with non-null orbits and electromagnetic fields possess the same symmetry,…

General Relativity and Quantum Cosmology · Physics 2017-02-23 George A. Alekseev

Recently, it has been supposed that the Einstein-Gauss- Bonnet theory coupled with scalar field (EGBS) maybe appropriately admit physically viable models of celestial phenomena such that the scalar field effect is active in standard four…

General Relativity and Quantum Cosmology · Physics 2022-12-29 G. G. L. Nashed , Shin'ichi Nojiri

Among all electromagnetic theories which (a) are derivable from a Lagrangian, (b) satisfy the dominant energy condition, and (c) in the weak field limit coincide with classical linear electromagnetics, we identify a certain subclass with…

General Relativity and Quantum Cosmology · Physics 2011-09-30 A. Shadi Tahvildar-Zadeh

An analysis of insular solutions of Einstein's field equations for static, spherically symmetric, source mass, on the basis of exterior Schwarzschild solution is presented. Following the analysis, we demonstrate that the {\em regular}…

Astrophysics · Physics 2009-11-07 P. S. Negi

We propose a model of a spinless electrical charge as a self-consistent field configuration of the electromagnetic (EM) field interacting with a physical vacuum effectively described by the logarithmic quantum Bose liquid. We show that, in…

High Energy Physics - Theory · Physics 2015-03-20 Vladimir Dzhunushaliev , Konstantin G. Zloshchastiev

We express the Einstein-Vlasov system in spherical symmetry in terms of a dimensionless momentum variable $z$ (radial over angular momentum). This regularises the limit of massless particles, and in that limit allows us to obtain a reduced…

General Relativity and Quantum Cosmology · Physics 2017-01-04 Carsten Gundlach

We construct slowly rotating black-hole solutions of Einsteinian cubic gravity (ECG) in four dimensions with flat and AdS asymptotes. At leading order in the rotation parameter, the only modification with respect to the static case is the…

General Relativity and Quantum Cosmology · Physics 2020-10-07 Connor Adair , Pablo Bueno , Pablo A. Cano , Robie A. Hennigar , Robert B. Mann