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Related papers: Nonlinear $\sigma$-models in the Eddington-inspire…

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We study Born-Infeld gravity coupled to an anisotropic fluid in a static, spherically symmetric background. The free function characterizing the fluid is selected on the following grounds: i) recovery of the Reissner-Nordstr\"om solution of…

General Relativity and Quantum Cosmology · Physics 2017-11-22 C. Menchon , Gonzalo J. Olmo , D. Rubiera-Garcia

We compute the evolution of linear perturbations on top of a background solution of a general nonlinear electromagnetic theory. This evolution can be described in terms of two effective metrics, and we analyse under what conditions they are…

General Relativity and Quantum Cosmology · Physics 2024-11-13 Jose Beltrán Jiménez , Luis J. Garay , María Pérez Garrote

We consider electrovacuum black hole spacetimes in classical extensions of Eddington-inspired Born-Infeld gravity. By rewriting Born-Infeld action as the square root of the determinant of a matrix $\hat{\Omega}$, we consider the family of…

General Relativity and Quantum Cosmology · Physics 2016-09-09 Cosimo Bambi , D. Rubiera-Garcia , Yixu Wang

A new class of solutions which yields an $(n+1)$-dimensional spacetime with a longitudinal nonlinear magnetic field is introduced. These spacetimes have no curvature singularity and no horizon, and the magnetic field is non singular in the…

High Energy Physics - Theory · Physics 2009-08-05 M. H. Dehghani , S. H. Hendi

We consider a D-dimensional model of gravity with non-linear "scalar fields" as a matter source. The model is defined on the product manifold M, which contains n Einstein factor spaces. General cosmological type solutions to the field…

General Relativity and Quantum Cosmology · Physics 2015-06-04 A. A. Golubtsova , V. D. Ivashchuk

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

We extend the correspondence between metric-affine Ricci-Based Gravity theories and General Relativity (GR) to the case in which the matter sector is represented by linear and nonlinear electromagnetic fields. This complements previous…

General Relativity and Quantum Cosmology · Physics 2020-01-29 Adria Delhom , Gonzalo J. Olmo , Emanuele Orazi

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

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

We explore models with emergent gravity and metric by means of numerical simulations. A particular type of two-dimensional non-linear sigma-model is regularized and discretized on a quadratic lattice. It is characterized by lattice…

High Energy Physics - Theory · Physics 2015-06-11 D. Sexty , C. Wetterich

Discussed is relationship between nonlinearity and symmetry of dynamical models. The special stress is laid on essential, non-perturbative nonlinearity, when none linear background does exist. This is nonlinearity essentially different from…

Mathematical Physics · Physics 2010-03-17 Jan Jerzy Sławianowski , Vasyl Kovalchuk

A large class of solvable models of dilaton gravity in two space-time dimensions, capable of describing black hole geometry, are analyzed in a unified way as non-linear sigma models possessing a special symmetry. This symmetry, which can be…

High Energy Physics - Theory · Physics 2011-07-19 Y. Kazama , Y. Satoh , A. Tsuchiya

N=1, D=4 non linear sigma models, parametrized by chiral superfields, usually describe Kaehlerian geometries, provided that Einstein frame supergravity is used. The sigma model metric is no longer Kaehler when local supersymmetry becomes…

High Energy Physics - Theory · Physics 2018-01-17 S. Ferrara , M. Porrati

We systematically examine the properties of null geodesics around an electrically charged, asymptotically flat black hole in Eddington-inspired Born-Infeld gravity, varying the electric charge of black hole and the coupling constant in the…

General Relativity and Quantum Cosmology · Physics 2015-09-30 Hajime Sotani , Umpei Miyamoto

We analyze the class of non-linear electrodynamics minimally coupled to gravitation supporting asymptotically flat \textit{non Schwarzschild-like} elementary solutions. The Lagrangian densities governing the dynamics of these models in flat…

High Energy Physics - Theory · Physics 2010-10-27 J. Diaz-Alonso , D. Rubiera-Garcia

Classical gravitating field theories reduced to three dimensions admit manifest gauge invariances and hidden symmetries, which together make up the invariance group G of the theory. If this group is large enough, the target space is a…

High Energy Physics - Theory · Physics 2008-11-06 Gerard Clement

We discuss exact scalar field solutions describing gravitating compact objects in the Eddington-inspired Born-Infeld gravity (EiBI), a member of the class of (metric-affine formulated) Ricci-based gravity theories (RBGs). We include a…

General Relativity and Quantum Cosmology · Physics 2020-07-21 Victor I. Afonso

In this work, we take a short recap of a formal framework of the Eddington-inspired Born-Infeld (EiBI) theory of gravity and derive the point-like Lagrangian for underlying theory based on the use of Noether gauge symmetries (NGS). We study…

General Relativity and Quantum Cosmology · Physics 2021-04-27 Thanyagamon Kanesom , Phongpichit Channuie , Narakorn Kaewkhao

Static, spherically symmetric configurations of gravity with nonminimally coupled scalar fields are considered in D-dimensional space-times in the framework of generalized scalar-tensor theories. We seek special cases when the system has no…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Kirill A. Bronnikov

General matterless models of gravity include dilaton gravity, arbitrary powers in curvature, but also dynamical torsion. They are a special class of "Poisson-sigma-models" whose solutions are known completely, together with their general…

General Relativity and Quantum Cosmology · Physics 2007-05-23 W. Kummer

The aims of this work are 1) to sketch a proof that there are such parameterizations of the local frame and canonical connection structures when the gravitational field equations in f(R,T)-modified gravity, MG, can be integrated in generic…

General Relativity and Quantum Cosmology · Physics 2014-01-10 Sergiu I. Vacaru