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We investigate the interior Einstein's equations in the case of a static, axially symmetric, perfect fluid source. We present a particular line element that is specially suitable for the investigation of this type of interior gravitational…

General Relativity and Quantum Cosmology · Physics 2022-03-29 Medeu Abishev , Farida Belissarova , Kuantay Boshkayev , Hernando Quevedo , Saken Toktarbay , Aizhan Mansurova , Aray Muratkhan

We derive from Jefimenko's equations a multipole expansion in order to obtain the exact expressions for the electric and magnetic fields of an electric dipole with an arbitrary time dependence. A few comments are also made about the usual…

Classical Physics · Physics 2015-05-12 W. J. M. Kort-Kamp , C. Farina

Static magnetic dipole solutions of Einstein-Maxwell equations from the soliton solutions of a Kerr object

General Relativity and Quantum Cosmology · Physics 2020-09-24 Avinanda Chaudhuri , S Nandi , S Chaudhuri

Astrophysical plasmas are subject to a tight connection between magnetic fields and the diffusion of particles, which leads to an anisotropic transport of energy. Under the fluid assumption, this effect can be reduced to an…

Astrophysics of Galaxies · Physics 2016-01-13 Yohan Dubois , Benoît Commerçon

A convincing explanation for the observed pulsar large peculiar velocities is still missing. We argue that any viable particle physics solution would most likely involve the resonant production of a non-interacting neutrino $\nu_s$ of mass…

Astrophysics · Physics 2009-10-31 Enrico Nardi , Jorge I. Zuluaga

Using a new ansatz for solving the Einstein equations with a scalar field with the sign of the kinetic term inverted, I find a series of formulae to derive axial symmetric stationary exact solutions of the Phantom scalar field in general…

General Relativity and Quantum Cosmology · Physics 2014-11-18 Tonatiuh Matos

The dynamics of a self-gravitating neutron gas in presence of a magnetic field is being studied taking the equation of state of a magnetized neutron gas obtained in a previous study [2]. We work in a Bianchi I spacetime characterized by a…

Astrophysics · Physics 2008-10-15 D. Manreza Paret

We study qualitative behavior of the Vlasov equation with strong external magnetic field and oscillating electric field. This model is relevant in order to understand isotop resonant separation. We show that the effective equation is a…

Functional Analysis · Mathematics 2007-05-23 Emmanuel Frenod , Frederique Watbled

An exact analytic solution is obtained for a uniformly expanding, neutral, infinitely conducting plasma sphere in an external dipole magnetic field. The electrodynamical aspects related to the radiation and transformation of energy were…

Plasma Physics · Physics 2009-11-11 H. B. Nersisyan , D. A. Osipyan

We show that massless solutions to the Einstein-Vlasov system in a Bianchi I space-time with small anisotropy, i.e. small shear and small trace-free part of the spatial energy momentum tensor, tend to a radiation fluid in an Einstein-de…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Ho Lee , Ernesto Nungesser , Paul Tod

When solving the equations of General Relativity in a symmetric sector, it is natural to consider the same symmetry for the geometry and stress-energy. This implies that for static and isotropic spacetimes, the most general natural…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Tomasz Konopka

The Mathisson-Papapetrou-Dixon (MPD) equations for the motion of electrically neutral massive spinning particles are analysed, in the pole-dipole approximation, in an Einstein-Maxwell plane-wave background spacetime. By exploiting the high…

General Relativity and Quantum Cosmology · Physics 2009-11-07 S Kessari , D Singh , R W Tucker , C Wang

We demonstrate a technique to generate new class of exact solutions to the Einstein-Maxwell system describing a static spherically symmetric relativistic star with anisotropic matter distribution. An interesting feature of the new class of…

General Physics · Physics 2020-11-25 K. Komathiraj , Ranjan Sharma

We present and discuss a 4-parameter stationary axisymmetric solution of the Einstein-Maxwell equations able to describe the exterior field of a rotating magnetized deformed mass. The solution arises as a system of two overlapping…

General Relativity and Quantum Cosmology · Physics 2018-05-23 V. S. Manko , E. Ruiz

The scope of this talk is to present some preliminary results on an effort, currently in progress, to generate an exact solution of Einstein's equation, suitable for describing spacetime around a rotating compact object. Specifically, the…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Giorgos Pappas

The effective gravitational mass as well as the energy and momentum distributions of a radiating charged particle in Einstein's universe are evaluated. The Moller's energy-momentum complex is employed for this computation. The spacetime…

High Energy Physics - Theory · Physics 2008-11-26 Elias C. Vagenas

We study the gravitational field of a spinning radiation beam-pulse in a higher dimensional spacetime. We derive first the stress-energy tensor for such a beam in a flat spacetime and find the gravitational field generated by it in the…

High Energy Physics - Theory · Physics 2009-11-11 V. P. Frolov , D. V. Fursaev

We show under the assumption of small data that solutions to the Einstein-Vlasov system with a pure magnetic field and Bianchi I symmetry isotropise and tend to dust solutions. We also obtain the decay rates for the main variables. This…

General Relativity and Quantum Cosmology · Physics 2024-06-18 Ho Lee , Ernesto Nungesser

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

An electric monopole solution to the equations of Maxwell and Einstein's general relativity is displayed. It differs from the usual one in that all components of the metric vanish at large spatial distances from the charge rather than…

High Energy Physics - Phenomenology · Physics 2016-09-01 M. H. Friedman