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In this article, we study the coupling of the Einstein field equations of general relativity to a family of models of nonlinear electromagnetic fields. The family comprises all covariant electromagnetic models that satisfy the following…

偏微分方程分析 · 数学 2016-01-20 Jared Speck

We introduce two new static, spherically symmetric regular black hole solutions that can be obtained from non-linear electrodynamics models. For each solution, we investigate the dynamic stability with respect to arbitrary linear…

广义相对论与量子宇宙学 · 物理学 2024-12-03 Leonardo Balart , Grigoris Panotopoulos , Angel Rincon

The time independent spherically symmetric solutions of General Relativity (GR) coupled to a dynamical unit timelike vector are studied. We find there is a three-parameter family of solutions with this symmetry. Imposing asymptotic flatness…

广义相对论与量子宇宙学 · 物理学 2010-02-05 Christopher Eling , Ted Jacobson

To have the correct picture of a black hole as a whole it is of crucial importance to understand its interior. The singularities that lurk inside the horizon of the usual Kerr-Newman family of black hole solutions signal an endpoint to the…

广义相对论与量子宇宙学 · 物理学 2011-06-13 José P. S. Lemos , Vilson T. Zanchin

In this paper we consider a special case of vacuum non-linear electrodynamics with a stress-energy tensor conformal to the Maxwell theory. Distinctive features of this model are: the absence of dimensional parameter for non-linearity…

广义相对论与量子宇宙学 · 物理学 2022-10-19 I. P. Denisova , B. D. Garmaev , V. A. Sokolov

We consider the dynamics of a classical charge in flat spacetime of six dimensions. The mass shell relation of a free charge admits nonlinear oscillations. Having analyzed the problem of on eigenvalues and eigenvectors of Faraday tensor, we…

经典物理 · 物理学 2021-03-30 Yurij Yaremko

We present a formulation of Quantum Electrodynamics in terms of an antisymmetric tensor gauge field. In this formulation the topological current of this field appears as a source for the electromagnetic field and the topological charge…

高能物理 - 理论 · 物理学 2015-06-26 E. C. Marino

We present new results concerning the existence of static, electrically charged, perfect fluid spheres that have a regular interior and are arbitrarily close to a maximally charged black-hole state. These configurations are described by…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Fernando de Felice , Liu Siming , Yu Yunqiang

When exploring equations of nonlinear electrodynamics in effective medium formed by mutually parallel external electric and magnetic fields, we come to special static axial-symmetric solutions of two types. The first are comprised of fields…

高能物理 - 理论 · 物理学 2023-11-29 T. C. Adorno , D. M. Gitman , A. E. Shanad

We consider a self-consistent axially symmetric system supported by a classical nonlinear spinor field minimally coupled to electric and magnetic Maxwell fields. The presence of the nonlinearity of the spinor field ensures the existence of…

高能物理 - 理论 · 物理学 2023-10-03 Vladimir Dzhunushaliev , Vladimir Folomeev

We construct spherically symmetric solutions to the Einstein-Euler equations, which contains a positive cosmological constant, say, the Einstein-Euler-de Sitter equations. We assume a realistic barotropic equation of state. Equilibria of…

偏微分方程分析 · 数学 2019-06-11 Tetu Makino

Using a proper gauge condition the static spherically symmetric solutions of Einstein-Maxwell equations with charged point source at the center are derived. It is shown that the solutions of the field equations are a three-parameter family…

高能物理 - 理论 · 物理学 2007-05-23 P. P. Fiziev , S. V. Dimitrov

We pursue a coherent analysis of hyperbolically symmetric static sources by extending the work of Herrera \cite{26} to the case of electromagnetic field. We deeply analyze the impact of such a force on the physical characteristics of the…

广义相对论与量子宇宙学 · 物理学 2021-08-30 M. Z. Bhatti , Z. Yousaf , Z. Tariq

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

Lorentz proposed a classical model of electron in which electron was assumed to have only 'electromagnetic mass'. We modeled electron as charged anisotropic perfect fluid sphere admitting non static conformal symmetry. It is noticed that…

高能物理 - 理论 · 物理学 2011-10-11 I. Radinschi , F. Rahaman , M. Kalam , K. Chakraborty

We present exact solutions to the Einstein-Maxwell system of equations in spherically symmetric gravitational fields with a specified form of the electric field intensity. The condition of pressure isotropy yields a difference equation with…

广义相对论与量子宇宙学 · 物理学 2008-11-26 S. D. Maharaj , K. Komathiraj

We establish the existence of a family of static, spherically symmetric spacetimes that are solutions of the Einstein Field Equations of General Relativity coupled to the electric field of a static point charge obeying the equations of…

广义相对论与量子宇宙学 · 物理学 2025-08-11 Erik Amorim

Warped dS$_3$ arises as a solution to topologically massive gravity (TMG) with positive cosmological constant $+1/\ell^2$ and Chern-Simons coefficient $1/\mu$ in the region $\mu^2 \ell^2 < 27$. It is given by a real line fibration over…

高能物理 - 理论 · 物理学 2012-11-16 Dionysios Anninos , Sophie de Buyl , Stephane Detournay

We discuss the physical interpretation of stress-energy tensors that source static spherically symmetric Kerr-Schild metrics. We find that the sources of such metrics with no curvature singularities or horizons do not simultaneously satisfy…

高能物理 - 理论 · 物理学 2016-08-17 Alexander K. Ridgway , Mark B. Wise

We show that there exist solutions to the semi-classical gravity equations in de Sitter spacetime sourced by the renormalised stress-energy tensor of a free Klein-Gordon field. For the massless scalar, solutions exist for every possible…

广义相对论与量子宇宙学 · 物理学 2019-10-02 Benito A. Juárez-Aubry