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Maxwell electrodynamics, considered as a source of the classical Einstein field equations, leads to the singular isotropic Friedmann solutions. We show that this singular behavior does not occur for a class of nonlinear generalizations of…

广义相对论与量子宇宙学 · 物理学 2007-05-23 V. A. De Lorenci , R. Klippert , M. Novello , J. M. Salim

We numerically construct a family of stationary, axisymmetric black hole solutions in Einstein-Born-Infeld theory, incorporating both electric charge and rotation. Our results indicate that when nonlinear electromagnetic effects are weak,…

广义相对论与量子宇宙学 · 物理学 2025-07-02 Lang Cheng , Peng Wang

As Einstein's gravity is a non-renormalizable theory, it can be a good description of physics only at the scales of energy or spacetime curvature below the Planck mass. Moreover, it requires the presence of an infinite tower of…

广义相对论与量子宇宙学 · 物理学 2025-08-22 Ziyue Zhu , Alexey S. Koshelev , Yang Liu , Anna Tokareva

We discuss the problem of identification of coupling constants, which describe interactions between photons and space-time curvature, using exact regular solutions to the extended equations of the nonminimal Einstein-Maxwell theory. We…

广义相对论与量子宇宙学 · 物理学 2015-06-18 Alexander B. Balakin , Alexei E. Zayats

The thesis developed by Cornelius Lanczos in his doctoral dissertation is that electrodynamics is a pure field theory which is hyperanalytic over the algebra of biquaternions. In this theory Maxwell's homogeneous equations correspond to a…

物理学史与哲学 · 物理学 2007-05-23 Cornelius Lanczos

Recently, black hole models in a nonlinear modification of the Maxwell electrodynamics were suggested, possessing simultaneously properties of an extreme charge and regularity (Bronnikov K. A., Phys. Rev. D, 110 (2024) 024021). We study…

广义相对论与量子宇宙学 · 物理学 2025-03-06 Milena Skvortsova

We consider extended covariant teleparallel $(f(T))$ gravity whose action is analytic in the torsion scalar and which is sourced by an $su(2)$ valued Yang-Mills field. Specifically, we search for regular solutions to the coupled $f(T)$…

广义相对论与量子宇宙学 · 物理学 2018-10-02 Andrew DeBenedictis , Sasa Ilijic

In this paper, we consider Einstein gravity in the presence of a class of nonlinear electrodynamics, called power Maxwell invariant (PMI). We take into account $(2+1)$-dimensional spacetime in Einstein-PMI gravity and obtain its black hole…

高能物理 - 理论 · 物理学 2014-10-29 S. H. Hendi , B. Eslam Panah , R. Saffari

A non-singular exact black hole solution in General Relativity is presented. The source is a non-linear electromagnetic field, which reduces to the Maxwell theory for weak field. The solution corresponds to a charged black hole with |q|…

广义相对论与量子宇宙学 · 物理学 2016-08-15 Eloy Ayón-Beato , Alberto García

The near horizon limit of the extreme nonlinear black hole is investigated. It is shown that resulting geometry belongs to the AdS2xS2 class with different modules of curvatures of subspaces and could be described in terms of the Lambert…

广义相对论与量子宇宙学 · 物理学 2009-11-10 Jerzy Matyjasek

We consider $5$ dimensional electrostatic solutions to Einstein-Maxwell gravity with $2$ commuting spacelike Killing fields. Taking two distinct reductions from $5$ dimensions to a $3$ dimensional base space, we write the Einstein-Maxwell…

广义相对论与量子宇宙学 · 物理学 2022-06-22 Fred Tomlinson

In this letter we introduce the noncommutative geometry into the standard Einstein-Hilbert-Maxwell action via the $\partial_t\wedge\partial_\varphi$ Drinfeld twist and solve the equation of motion pertubatively in the expansion of the…

广义相对论与量子宇宙学 · 物理学 2025-07-30 Filip Požar

In 1933-1934 Born and Infeld constructed the first non-linear generalization of Maxwell's electrodynamics that turned out to be a remarkable theory in many respects. In 1935 Heisenberg and Euler computed a complete effective action…

高能物理 - 理论 · 物理学 2022-09-07 Dmitri P. Sorokin

Regular black hole solutions are found among the Guilfoyle exact solutions. These are spherically symmetric solutions of general relativity coupled to Maxwell's electromagnetism and charged matter where the metric potentials and…

广义相对论与量子宇宙学 · 物理学 2016-06-30 José P. S. Lemos , Vilson T. Zanchin

We consider Einstein gravity with a negative cosmological constant endowed with distinct matter sources. The different models analyzed here share the following two properties: (i) they admit static symmetric solutions with planar base…

高能物理 - 理论 · 物理学 2019-01-29 Moises Bravo Gaete , Sebastian Gomez , Mokhtar Hassaine

In General Relativity coupled to a non-linear electromagnetic field, together with a negative cosmological constant, we obtain the general static spherical symmetric black hole solution with magnetic charges, which is asymptotic to anti-de…

高能物理 - 理论 · 物理学 2017-05-24 Zhong-Ying Fan

The main objective of this work is the construction of regular black hole solutions in the context of the Einstein-Maxwell theory. The strategy is to match an interior regular solution to an exterior electrovacuum solution. With this…

广义相对论与量子宇宙学 · 物理学 2020-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

It is an interesting open problem whether two non-extremal rotating and electrically charged black holes can be in physical equilibrium, which might be possible due to a balance between the gravitational attraction and the spin-spin and…

广义相对论与量子宇宙学 · 物理学 2019-11-05 Jörg Hennig

Nonlinear electrodynamics is known as the generalizations of Maxwell electrodynamics at strong fields and presents interesting features such as curing the classical divergences present in the linear theory when coupled to general…

广义相对论与量子宇宙学 · 物理学 2022-10-04 Yashmitha Kumaran , Ali Övgün

On the basis of two requirements: the avoidance of the curvature singularity and the Maxwell theory as the weak field limit of the nonlinear electrodynamics, we find two restricted conditions on the metric function of $(2+1)$-dimensional…

广义相对论与量子宇宙学 · 物理学 2017-09-28 Yun He , Meng-Sen Ma