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Einstein originally proposed a nonsymmetric tensor field, with its symmetric part associated with the spacetime metric and its antisymmetric part associated with the electromagnetic field, as an approach to a unified field theory. Here we…

General Relativity and Quantum Cosmology · Physics 2018-03-14 J. R. van Meter

A number of recent papers have claimed to construct solutions of Einstein's equations describing black holes surrounded by dark-matter halos with empirically motivated density profiles such as the Navarro-Frenk-White, Burkert, Einasto,…

General Relativity and Quantum Cosmology · Physics 2025-12-09 S. V. Bolokhov

The symmetric and gauge-invariant energy-momentum tensors for source-free Maxwell and Yang-Mills theories are obtained by means of translations in spacetime via a systematic implementation of Noether's theorem. For the source-free neutral…

High Energy Physics - Theory · Physics 2011-11-10 Merced Montesinos , Ernesto Flores

The space-time geometry exterior to a new four-dimensional, spherically symmetric and charged black hole solution that, through a coupling of general relativity with a non-linear electrodynamics, is everywhere non-singular, for small $r$ it…

General Relativity and Quantum Cosmology · Physics 2020-05-26 I. Radinschi , P. K. Sahoo , Th. Grammenos , S. Chattopadhyay , M. M. Cazacu

We present the asymptotically AdS solutions of the Einstein gravity with hyperbolic horizons in the presence of $So(n(n-1)/2-1, 1)$ Yang-Mills fields governed by the non-Abelian Born-Infeld lagrangian. We investigate the properties of these…

General Relativity and Quantum Cosmology · Physics 2018-03-29 N. Bostani , N. Farhangkhah

We study the force-free electrodynamics on rotating black holes in the Born-Infeld (BI) effective theory. The stream equation describing a steady and axisymmetric magnetosphere is derived. From its near-horizon behavior, we obtain the…

General Relativity and Quantum Cosmology · Physics 2020-05-12 Huiquan Li , Jiancheng Wang

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

Starting from Clifton's spherical static solution for f(R)-gravity we can derive axial symmetric solutions using a methods that takes the advantage of a complex coordinate transformation. The new solutions are generated by applying the…

General Relativity and Quantum Cosmology · Physics 2011-11-10 Mariafelicia De Laurentis

We study electric and magnetic monopoles in static, spherically symmetric and constant curvature geometries in the context of the inverse electrodynamics model. We prove that this U(1) invariant Lagrangian density is able to support the…

General Relativity and Quantum Cosmology · Physics 2015-06-22 J. A. R. Cembranos , A. de la Cruz-Dombriz , J. Jarillo

We investigate the black hole solution to (2+1)-dimensional gravity coupled to topological matter, with a vanishing cosmological constant. We calculate the total energy, angular momentum and entropy of the black hole in this model and…

General Relativity and Quantum Cosmology · Physics 2010-04-28 S. Carlip , J. Gegenberg , R. B. Mann

We present a solution for rotating black holes in massive gravity. We first give a solution of massive gravity with one dynamical metric. Both metrics of this solution are expressed in the advanced Eddington-Finkelstein-like coordinates:…

General Relativity and Quantum Cosmology · Physics 2014-11-07 Eugeny Babichev , Alessandro Fabbri

A test fluid composed of relativistic collisionless neutral particles in the background of Kerr metric is expected to generate non-isotropic equilibrium configurations in which the corresponding stress-energy tensor exhibits pressure and…

General Relativity and Quantum Cosmology · Physics 2023-06-22 Claudio Cremaschini , Zdeněk Stuchlík

We provide a novel model of gravity by using adjoint frame fields in four dimensions. It has a natural interpretation as a gravitational theory of a complex metric field, which describes interactions between two real metrics. The classical…

High Energy Physics - Theory · Physics 2015-12-14 Zhi-Qiang Guo , Ivan Schmidt

In this paper an intrinsically non-Abelian black hole solution for the SU(2) Einstein-Yang-Mills theory in four dimensions is constructed. The gauge field of this solution has the form of a meron whereas the metric is the one of a…

High Energy Physics - Theory · Physics 2015-06-11 Fabrizio Canfora , Francisco Correa , Alex Giacomini , Julio Oliva

In recent years there have appeared in the literature a large number of static, spherically symmetric metrics, which are regular at the origin, asymptotically flat, and have both an event and a Cauchy horizon for certain range of the…

General Relativity and Quantum Cosmology · Physics 2017-06-13 J. Ponce de Leon

We argue that Einstein gravity coupled to a Born-Infeld theory provides an attractive candidate to represent dark matter and dark energy. For cosmological models, the Born-Infeld field has an equation of state which interpolates between…

High Energy Physics - Theory · Physics 2013-03-11 Maximo Banados

We study the Einstein-Klein-Gordon system coupled to the Born-Infeld electrodynamics. We explore the solution space of a static spherically symmetric, complex scalar field minimally coupled to both gravitational and electromagnetic fields.…

General Relativity and Quantum Cosmology · Physics 2023-08-02 Víctor Jaramillo , Daniel Martínez-Carbajal , Juan Carlos Degollado , Darío Núñez

In this paper we calculate the energy distribution E(r) associated with a static spherically symmetric non-singular phantom black hole metric in Einstein's prescription in general relativity. As required for Einstein energy-momentum…

General Relativity and Quantum Cosmology · Physics 2017-04-19 P. K. Sahoo , K. L. Mahanta , D. Goit , A. K. Sihna , S. S. Xulu , U. R. Das , A. Prasad , R. Prasad

We obtain a family of exact solutions describing magnetized black holes in an external gravitational field. Locally the solutions can be interpreted as representing the near-horizon region of a black hole, which interacts with a surrounding…

General Relativity and Quantum Cosmology · Physics 2017-07-19 Jutta Kunz , Petya Nedkova , Stoytcho Yazadjiev

The most general stationary black-hole solution of Einstein-Maxwell theory in vacuum is the Kerr-Newman metric, specified by three parameters: mass M, spin J and charge Q. Within classical general relativity, the most important and…

General Relativity and Quantum Cosmology · Physics 2013-06-19 Paolo Pani , Emanuele Berti , Leonardo Gualtieri