Static charged fluid around a massive magnetic dipole

Details Static charged fluid around a massive magnetic dipole Static charged fluid around a massive magnetic dipole

2008-03-19

arxiv.org/abs/0803.2899v2

Phys.Rev.D78:024026,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure, revtex. A discussion on frame dragging added. Accepted in PRD

Scientific paper

10.1103/PhysRevD.78.024026

An analytical solution of Einstein-Maxwell equations with a static fluid as a source is presented. The spacetime is represented by the axially symmetric Weyl metric and the energy-momentum tensor describes a coupling of a fluid with an electromagnetic field. When appropriate limits are performed we recover the well-known solutions of Gutsunaev-Manko and Schwarzschild. Also, using Eckart's thermodynamics, we calculated the temperature, the mechanical pressure, the charge density and the energy density of the system. The analysis of thermodynamic quantities suggests that the solution can be used to represent a magnetized compact stellar object surrounded by a charged fluid.

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