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We derive a local curvature estimate for four-dimensional stationary solutions to the inheriting Einstein-Maxwell-Klein-Gordon equations. In particular, it implies that any such stationary geodesically complete solution with vanishing…

Differential Geometry · Mathematics 2016-06-21 Bing-Long Chen

An asymptotically flat static solution of Einstein-Maxwell equations which describes the field of two non-extreme Reissner - Nordstr\"om sources in equilibrium is presented. It is expressed in terms of physical parameters of the sources…

General Relativity and Quantum Cosmology · Physics 2008-11-26 G. A. Alekseev , V. A. Belinski

We present a matrix method for obtaining new classes of exact solutions for Einstein's equations representing static perfect fluid spheres. By means of a matrix transformation, we reduce Einstein's equations to two independent Riccati type…

General Relativity and Quantum Cosmology · Physics 2009-11-11 M. K. Mak , T. Harko

We consider a model with two real Maxwell fields (or equivalently, a complex Maxwell field) minimally coupled to Einsteins gravity with a negative cosmological constant in four spacetime dimensions. Assuming a specific harmonic dependence…

General Relativity and Quantum Cosmology · Physics 2024-05-20 Carlos Herdeiro , Hyat Huang , Jutta Kunz , Eugen Radu

Following the interpretation of matter source that the energy-momentum tensor of anisotropic fluid can be dealt with effectively as the energy-momentum tensor of perfect fluid plus linear (Maxwell) electromagnetic field, we obtain the…

High Energy Physics - Theory · Physics 2022-01-13 Yu-Mei Wu , Yan-Gang Miao

A regular method is proposed that makes it possible to obtain a new exact solution with a wormhole from any topologically trivial exact solution of the Einstein-Maxwell equations in an electrovacuum (topological dressing method). This…

General Relativity and Quantum Cosmology · Physics 2025-07-15 Juri Dimaschko

We construct new static solutions to the Einstein-Vlasov-Maxwell system. These solutions model Reissner-Nordstrom-type black holes with surrounding shells of charged matter.

General Relativity and Quantum Cosmology · Physics 2025-06-27 David Fajman , Hannah Seer

In this article the static Einstein-Vlasov-Maxwell system is considered in spherical symmetry. This system describes an ensemble of charged particles interacting by general relativistic gravity and Coulomb forces. First, a proof for local…

General Relativity and Quantum Cosmology · Physics 2019-10-09 Maximilian Thaller

We present a class of solutions to the Einstein-Maxwell equations in d-dimensions, all of which are asymptotically (anti)-de Sitter space-times. They describe electrically charged rotating solutions, which are generalizations of those found…

High Energy Physics - Theory · Physics 2009-11-07 Adel Awad

We generate an explicit four-fold infinity of physically acceptable exact perfect fluid solutions of Einstein's equations by way of conformal transformations of physically unacceptable solutions (one way to view the use of isotropic…

General Relativity and Quantum Cosmology · Physics 2008-12-30 Jonathan Loranger , Kayll Lake

The Boltzmann equation for $d$-dimensional inelastic Maxwell models is considered to analyze transport properties for monodisperse gas-solid suspensions. The influence of the interstitial gas phase on the dynamics of solid particles is…

Statistical Mechanics · Physics 2015-12-03 Aleksander Kubicki , Vicente Garzó

In an important series of articles published during the 70's, Krasi\'nski displayed a class of interior solutions of the Einstein field equations sourced by a stationary isentropic rotating cylinder of perfect fluid. However, these…

General Relativity and Quantum Cosmology · Physics 2023-08-08 Marie-Noëlle Célérier

As an alternative gravity model we consider an extended Einstein-Maxwell gravity containing a gauge invariance property. Extension is assumed to be addition of a directional coupling between spatial electromagnetic fields with the Ricci…

General Relativity and Quantum Cosmology · Physics 2024-01-08 Hossein Ghaffarnejad , Leyla Naderi

We study static and spherically symmetric black hole solutions in higher-order Maxwell-Einstein theories. We do not particularly focus on the degenerate classes of theories. For several specific choices of the coupling functions, we show…

General Relativity and Quantum Cosmology · Physics 2025-07-22 Masato Minamitsuji

An algorithm based on the choice of a single monotone function (subject to boundary conditions) is presented which generates all regular static spherically symmetric perfect fluid solutions of Einstein's equations. For physically relevant…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kayll Lake

A nonstatic and circularly symmetric exact solution of the Einstein equations (with a cosmological constant $\Lambda$ and null fluid) in $2+1$ dimensions is given. This is a nonstatic generalization of the uncharged spinless BTZ metric. For…

General Relativity and Quantum Cosmology · Physics 2009-10-22 K. S. Virbhadra

Emergent concepts from astroparticle physics are incorporated into a classical solution of the Einstein-Maxwell equations for a binary magnetohydrodynamic fluid, in order to describe the final equilibrium state of compact objects infused…

Solar and Stellar Astrophysics · Physics 2012-09-18 Zoran Pazameta

In this work a class of interior solution for Einstein field equations corresponding to a spherically symmetric anisotropic fluid sphere has been obtained under the assumption that the cosmological constant is spatially variable. The…

General Relativity and Quantum Cosmology · Physics 2011-03-07 R. N. Tiwari , Saibal Ray

A class of exact solutions of the Einstein-Maxwell equations is presented which contains infinite sets of gravitoelectric, gravitomagnetic and electromagnetic multipole moments. The multipolar structure of the solutions indicates that they…

General Relativity and Quantum Cosmology · Physics 2012-01-10 Hernando Quevedo

We present higher-dimensional generalizations of the Buchdahl and Janis-Robinson-Winicour transformations which generate static solutions in the Einstein-Maxwell system with a massless scalar field. While the former adds a nontrivial scalar…

General Relativity and Quantum Cosmology · Physics 2021-11-02 Hideki Maeda , Cristian Martinez
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