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We report on a new solution to the Einstein-Maxwell equations in 2+1 dimensions with a negative cosmological constant. The solution is static, rotationally symmetric and has a non-zero magnetic field. The solution can be interpreted as a…

High Energy Physics - Theory · Physics 2010-11-19 Eric W. Hirschmann , Dean L. Welch

We use Moeller's energy-momentum complex in order to explicitly evaluate the energy and momentum density distributions associated with the three-dimensional magnetic solution to the Einstein-Maxwell equations. The magnetic spacetime under…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Th. Grammenos

An exact solution of the Einstein-Maxwell field equations for a conformastationary metric with magnetized disk-haloes sources is worked out in full. The characterization of the nature of the energy momentum tensor of the source is…

General Relativity and Quantum Cosmology · Physics 2015-04-16 Antonio C. Gutiérrez-Piñeres

We solve the Einstein-Maxwell-Klein-Gordon system of equations and derive a compact, static axially symmetric magnetized object which is electrically neutral and made of two complex massive charged scalar fields. We describe several…

General Relativity and Quantum Cosmology · Physics 2022-11-23 Víctor Jaramillo , Darío Núñez

A close examination of the Maxwell-Lorentz theory of electrodynamics reveals that polarization and magnetization of material media need not be treated as local averages over small volumes - volumes that nevertheless contain a large number…

Optics · Physics 2014-04-10 Masud Mansuripur

The stability and other physical properties of a class of regular black holes, quasiblack holes, and other electrically charged compact objects are investigated in the present work. The compact objects are obtained by solving the…

General Relativity and Quantum Cosmology · Physics 2021-08-12 Angel D. D. Masa , Enesson S. de Oliveira , Vilson T. Zanchin

We have solved the Einstein-Maxwell equations for a class of isotropic metrics with constant spatial curvature in the presence of magnetic fields. We consider a slight modification of the Tolman averaging relations so that the…

General Relativity and Quantum Cosmology · Physics 2014-09-11 Eduardo Bittencourt , José Salim , Grasiele B. dos Santos

We consider the general situation of a compact relativistic body with anisotropic pressures in the presence of the electromagnetic field. The equation of state for the matter distribution is linear and may be applied to strange stars with…

General Relativity and Quantum Cosmology · Physics 2009-01-16 S. Thirukkanesh , S. D. Maharaj

The macroscopic equations of Maxwell combined with a generalized form of the Lorentz law are a complete and consistent set; not only are these five equations fully compatible with the special theory of relativity, they also conform with the…

Optics · Physics 2012-08-07 Masud Mansuripur

Cosmological models arising from a generalized compactification of Einstein gravity are derived. It is shown that a redefinition of the moduli fields reduces the system to a set of massless fields and a single field with a single…

Astrophysics · Physics 2009-10-31 Anne M. Green , James E. Lidsey

The multiyear problem of a two-body system consisting of a Reissner-Nordstr\"om black hole and a charged massive particle at rest is here solved by an exact perturbative solution of the full Einstein-Maxwell system of equations. The…

General Relativity and Quantum Cosmology · Physics 2008-11-26 D. Bini , A. Geralico , R. Ruffini

An Exact solution of the Einstein-Maxwell field equations for a conformastatic metric with magnetized sources is study. In this context, effective potential are studied in order to understand the dynamics of the magnetic field in galaxies.…

General Relativity and Quantum Cosmology · Physics 2017-04-06 Abraão J. S. Capistrano , Antonio C. Gutiérrez-Piñeres

To model magnetic fields of compact objects we solve the Maxwell equations in the background of the exterior static Schwarzschild and slowly rotating Kerr space-times. We impose the boundary condition that the electromagnetic fields are to…

General Relativity and Quantum Cosmology · Physics 2025-04-15 Richard Kerner , Gideon Koekoek , Julia Schuring , Jan-Willem van Holten

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

Static solutions of the electro-gravitational field equations exhibiting a functional relationship between the electric and gravitational potentials are studied. General results for these metrics are presented which extend previous work of…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Brendan S. Guilfoyle

The coupled system of the spherically symmetric Einstein--Maxwell differential equations is solved under two different source conditions: non-zero electric charge and pressure anisotropy. Expressions for the metric functions, and pressures…

General Relativity and Quantum Cosmology · Physics 2016-03-11 Ambrish M. Raghoonundun , David W. Hobill

In the framework of Einstein-Maxwell-axion theory we consider static spherically symmetric solutions, which describe a magnetic monopole in the axionic environment. These solutions are interpreted as the solutions for an axionic dyon, the…

General Relativity and Quantum Cosmology · Physics 2017-08-08 Alexander B. Balakin , Alexei E. Zayats

The gravitational Dirichlet problem -- in which the induced metric is fixed on boundaries at finite distance from the bulk -- is related to simple notions of UV cutoffs in gauge/gravity duality and appears in discussions relating the…

General Relativity and Quantum Cosmology · Physics 2015-09-18 Tomas Andrade , William R. Kelly , Donald Marolf

A new class of solutions to Einstein's classical field equations of general relativity is presented. The solutions describe a non-rotating, spherically symmetric, compact self gravitating object, residing in a static electro-vacuum space…

General Relativity and Quantum Cosmology · Physics 2007-05-23 Michael Petri

We argue that the classical theory of electromagnetism is based on Maxwell's macroscopic equations, an energy postulate, a momentum postulate, and a generalized form of the Lorentz law of force. These seven postulates constitute the…

Classical Physics · Physics 2013-12-13 Masud Mansuripur , Armis R. Zakharian