Singularity-free Bianchi spaces with nonlinear electrodynamics

Details Singularity-free Bianchi spaces with nonlinear electrodynamics Singularity-free Bianchi spaces with nonlinear electrodynamics

2004-10-28

arxiv.org/abs/gr-qc/0410142v2

Class.Quant.Grav. 22 (2005) 4783-4802

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 3 figures

Scientific paper

10.1088/0264-9381/22/22/009

In this paper we present an analysis to determine the existence of singularities in spatially homogeneous anisotropic universes filled with nonlinear electromagnetic radiation. These spaces are conformal to Bianchi spaces admitting a three parameter group of motions G$_3$. For these models we study geodesic completeness. It is shown that with nonlinear electromagnetic field some of the Bianchi spaces are geodesically complete, like G$_3$IX and G$_3$VIII; however, completeness depends on the curvature of the space. When certain topology is assumed, Bianchi G$_3$IX presents geodesics that are imprisoned. It is surprising that in the linear limit (Maxwell field) the spacetimes are singularity-free even if the curvature parameter is zero.

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