Stationary Axisymmetric Solutions of the Einstein Equations with Rigidly Rotating Perfect Fluid and Nonlinear Charged Sources

1999/07/22 by Humberto Salazar, Ruben Cordero
Physics and Astronomy · #gr-qc

paper · pdf

published as Int.J.Theor.Phys. 35 (1996) 1259 · Latex file, 14 pages. Already published

arxiv created 1999/07/22 · arxiv updated 2009/11/30

Abstract

A class of stationary rigidly rotating perfect fluid coupled with non-linear electromagnetic fields was investigated. An exact solution of the Einstein equations with sources for the Carter B(+) branch was found, for the equation of state 3p + ε= constant. We use a structural function for the Born-Infeld non-linear electrodynamics which is invariant under duality rotations and a metric possessing a four- parameter group of motions. The solution is of Petrov type D and the eigenvectors of the electromagnetic field are aligned to the Debever-Penrose vectors.

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