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A (2+1)-static black hole solution with a nonlinear electric field is derived. The source to the Einstein equations is a nonlinear electrodynamics, satisfying the weak energy conditions, and it is such that the energy momentum tensor is…

High Energy Physics - Theory · Physics 2009-10-31 M. Cataldo , N. Cruz , S. del Campo , A. Garcia

In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca…

High Energy Physics - Theory · Physics 2018-03-14 Zhong-Ying Fan

In this paper we prove integrated energy and pointwise decay estimates for solutions of the vacuum linearized Einstein equation on the domain of outer communication of the Kerr black hole spacetime. The estimates are valid for the full…

Analysis of PDEs · Mathematics 2025-04-17 Lars Andersson , Thomas Bäckdahl , Pieter Blue , Siyuan Ma

The double copy of the Coulomb solution in three dimensions is a non-vacuum solution that can be obtained through different matter couplings. It is the static black hole solution of Einstein-Maxwell theory or general relativity minimally…

High Energy Physics - Theory · Physics 2022-08-17 Gokhan Alkac , Mehmet Kemal Gumus , Mehmet Ali Olpak

We study a set of static solutions of the Einstein equations in presence of a massless scalar field and establish their connection to the Kantowski-Sachs cosmological solutions based on some kind of duality transformations. The physical…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. Gaudin , V. Gorini , A. Kamenshchik , U. Moschella , V. Pasquier

An exact charged axially symmetric solution of the coupled gravitational and electromagnetic fields in the teleparallel equivalent of Einstein theory is derived. It is characterized by three parameters ``$ $the gravitational mass $M$, the…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Gamal G. L. Nashed

The original Kerr theorem provides the foundation for Kerr-Schild transformations by classifying all shear-free and geodesic null congruences in flat spacetime; the key ingredient of the Kerr-Schild ansatz. However, due to the high level of…

General Relativity and Quantum Cosmology · Physics 2025-08-28 Eloy Ayón-Beato , Daniel Flores-Alfonso , Mokhtar Hassaine

The subject of this thesis is the coupling of quantum fields to a classical gravitational background in a semiclassical fashion. It contains a thorough introduction into quantum field theory on curved spacetime with a focus on the…

Mathematical Physics · Physics 2015-03-09 Daniel Siemssen

We study the exact solution of Einstein's field equations consisting of a ($n+2$)-dimensional static and hyperplane symmetric thick slice of matter, with constant and positive energy density $\rho$ and thickness $d$, surrounded by two…

General Relativity and Quantum Cosmology · Physics 2012-08-21 Ricardo E. Gamboa Saravi

General relativity and its extensions including torsion identify stress energy momentum as being proportional to the Einstein tensor, thus ensuring both symmetry and conservation. Here we visualize stress energy and momentum by identifying…

General Relativity and Quantum Cosmology · Physics 2025-02-26 Adam Marsh

Black hole solutions are explored in the Lorentz gauge theory of gravity. The fields of the theory are the gauge potential in the adjoint and a scalar in the fundamental representation of the Lorentz group, a metric tensor then emerging as…

General Relativity and Quantum Cosmology · Physics 2024-09-06 Tomi S. Koivisto , Luxi Zheng

We prove some theorems characterizing the global properties of static, spherically symmetric configurations of a self-gravitating real scalar field in general relativity (GR) in various dimensions, with an arbitrary potential $V$, not…

General Relativity and Quantum Cosmology · Physics 2010-11-19 K. A. Bronnikov , G. N. Shikin

In this paper we present a non-singular black hole model as a possible end-product of gravitational collapse. The depicted spacetime which is type [II,(II)], by Petrov classification, is an exact solution of the Einstein equations and…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Manasse R. Mbonye , Demosthenes Kazanas

We study a gravity theory where a scalar field with potential, beyond its minimal coupling, is also coupled through a non-minimal derivative coupling with the torsion scalar which is the teleparallel equivalent of Einstein gravity. This…

High Energy Physics - Theory · Physics 2015-10-14 Georgios Kofinas

Singularities in Newton's gravitation, in general relativity (GR), in Coulomb's law, and elsewhere in classical physics, stem from two ill conceived assumptions: a) there are point-like entities with finite masses, charges, etc., packed in…

General Physics · Physics 2025-03-26 Yousef Sobouti , Haidar Sheikhahmadi

The double copy relates scattering amplitudes in gauge and gravity theories, and has also been extended to classical solutions. In this paper, we study solutions in three spacetime dimensions, where the double copy may be expected to be…

High Energy Physics - Theory · Physics 2019-05-02 Mariana Carrillo González , Brandon Melcher , Kenneth Ratliff , Scott Watson , Chris D. White

We present a family of extensions of spherically symmetric Einstein-Lanczos-Lovelock gravity. The field equations are second order and obey a generalized Birkhoff's theorem. The Hamiltonian constraint can be written in terms of a…

General Relativity and Quantum Cosmology · Physics 2015-09-16 Gabor Kunstatter , Hideki Maeda , Tim Taves

The Newman-Penrose map, which is closely related to the classical double copy, associates certain exact solutions of Einstein's equations with self-dual solutions of the vacuum Maxwell equations. Here we initiate an extension of the…

High Energy Physics - Theory · Physics 2023-09-20 Kara Farnsworth , Michael Graesser , Gabriel Herczeg

We consider the problem of quantum field theory on the Bertotti-Robinson space-time, which arises naturally as the near horizon geometry of an extremal Reissner-Nordstrom black hole but can also arise in certain near-horizon limits of…

General Relativity and Quantum Cosmology · Physics 2015-06-11 Adrian C. Ottewill , Peter Taylor

We have found new anisotropic vacuum solutions for the scale-invariant gravity theories which generalise Einstein's general relativity to a theory derived from the Lagrangian $R^{1+\delta}$. These solutions are expanding universes of Kasner…

General Relativity and Quantum Cosmology · Physics 2009-11-11 John D. Barrow , T. Clifton