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The purpose of this article is to initiate a study of a class of Lorentz invariant, yet tractable, Lagrangian Field Theories which may be viewed as an extension of the Klein-Gordon Lagrangian to many scalar fields in a novel manner. These…

High Energy Physics - Theory · Physics 2009-11-07 David B. Fairlie , Tatsuya Ueno

We give a general class of static, spherically symmetric, non-asymptotically flat and asymptotically non-(anti) de Sitter black hole solutions in Einstein-Maxwell-Dilaton (EMD) theory of gravity in 4-dimensions. In this general study we…

General Relativity and Quantum Cosmology · Physics 2010-04-22 S. Habib Mazharimousavi , M. Halilsoy , I. Sakalli , O. Gurtug

We propose a new relativistic Lorentz-invariant spin-noncommutative algebra. Using the Weyl ordering of noncommutative position operators, we build an analogue of the Moyal-Groenewald product for the proposed algebra. The Lagrange function…

High Energy Physics - Theory · Physics 2016-11-02 V. M. Vasyuta , V. M. Tkachuk

We summarize the main results of a broad analysis on electrostatic, spherically symmetric (ESS) solutions of a class of non-linear electrodynamics models minimally coupled to gravitation. Such models are defined as arbitrary functions of…

General Relativity and Quantum Cosmology · Physics 2013-01-08 J. Diaz-Alonso , D. Rubiera-Garcia

We investigate perturbative aspects of gravity with a general F(R) Lagrangian, as well as nonperturbative dilatonic solutions. For the first part, we are interested in stability and the definition of asymptotic charges. The main result of…

High Energy Physics - Theory · Physics 2008-11-26 D. Bazeia , B. Carneiro da Cunha , R. Menezes , A. Yu. Petrov

The most general Lagrangian for non-linear electrodynamics coupled to an axion $a$ and a dilaton $\phi$ with $SL(2,\mbox{\elevenmsb R})$ invariant equations of motion is $$ -\half\left(\nabla\phi\right)^2 - \half e^{2\phi}\left(\nabla…

High Energy Physics - Theory · Physics 2009-10-07 G W Gibbons , D A Rasheed

We investigate dyonic black hole and dyon solutions of four-dimensional $SU(N)$ Einstein-Yang-Mills theory with a negative cosmological constant. We derive a set of field equations in this case, and prove the existence of non-trivial…

General Relativity and Quantum Cosmology · Physics 2016-02-04 J. Erik Baxter

We present a new formulation of self-dual nonlinear electrodynamics in which interactions are determined by an auxiliary-field potential, with causality ensuring a unique solution to the auxiliary-field equation. The long-standing problem…

High Energy Physics - Theory · Physics 2025-10-08 Jorge G. Russo , Paul K. Townsend

We consider a D-dimensional self-gravitating spherically symmetric configuration of a generalized electro-magnetic n-form F and a dilatonic scalar field, admitting an interpretation in terms of intersecting p-branes. For theories with…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , U. Kasper , M. Rainer

We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise after dimensional reduction to Einstein gravity nonminimally coupled to nonlinear electrodynamics. The black hole solutions of the four-dimensional model modify…

General Relativity and Quantum Cosmology · Physics 2023-12-01 S. Mignemi

It is shown that nonlinear electrodynamics of the Born--Infeld theory type may be exploited to shed insight into a few fundamental problems in theoretical physics, including rendering electromagnetic asymmetry to energetically exclude…

General Relativity and Quantum Cosmology · Physics 2024-06-14 Yisong Yang

Nonlinear electrodynamics model in hypercomplex form is considered. Its linearization around a solution is obtained. The appropriate problem for linear waves around static dyon solution (SDS) of Born-Infeld electrodynamics is investigated.…

High Energy Physics - Theory · Physics 2007-05-23 Alexander A. Chernitskii

We derive a new exact static and spherically symmetric vacuum solution in the framework of the Poincar\'e gauge field theory with dynamical massless torsion. This theory is built in such a form that allows to recover General Relativity when…

General Relativity and Quantum Cosmology · Physics 2018-12-04 Jose A. R. Cembranos , Jorge Gigante Valcarcel

We show that two-dimensional topological BF theories coupled to particles carrying non-Abelian charge admit a new coupling involving the Lagrange multiplier field. When applied to the gauge theoretic formulation of dilatonic gravity it…

High Energy Physics - Theory · Physics 2009-10-30 Marcelo M. Leite , Victor O. Rivelles

Recently, the inverse electrodynamics model (IEM) was introduced and applied to fined Reissner-Nordstr\"{o}m black holes in the context of the general relativity coupled minimally with the nonlinear electrodynamics \cite{1}. The solution…

General Relativity and Quantum Cosmology · Physics 2021-09-22 S. Habib Mazharimousavi

A nonlinear charged version of the (2+1)-anti de Sitter black hole solution is derived. The source to the Einstein equations is a Born-Infeld electromagnetic field, which in the weak field limit becomes the (2+1)-Maxwell field. The obtained…

High Energy Physics - Theory · Physics 2009-10-31 Mauricio Cataldo , Alberto Garcia

We consider static spherically symmetric stellar configurations in Palatini theories of gravity in which the Lagrangian is an unspecified function of the form $f(R,R_{\mu\nu}R^{\mu\nu})$. We obtain the Tolman-Oppenheimer-Volkov equations…

General Relativity and Quantum Cosmology · Physics 2015-06-12 Gonzalo J. Olmo , Helios Sanchis-Alepuz , Swapnil Tripathi

The exact solution for a static spherically symmetric field outside a charged point particle is found in a non-linear $U(1)$ gauge theory with a logarithmic Lagrangian. The electromagnetic self-mass is finite, and for a particular relation…

High Energy Physics - Theory · Physics 2009-10-28 Harald H. Soleng

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

We present a theorem in d-dimensional static, spherically symmetric spacetime in generic Lovelock gravity coupled with a non-linear electrodynamic source to generate solutions. The theorem states that irrespective of the order of the…

General Relativity and Quantum Cosmology · Physics 2014-11-20 S. Habib Mazharimousavi , O. Gurtug , M. Halilsoy