Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2001-02-27
Gen.Rel.Grav.35:1511-1516,2003
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, LATEX
Scientific paper
10.1023/A:1024551105800
Anisotropic cosmological spacetimes are constructed from spherically symmetric solutions to Einstein's equations coupled to nonlinear electrodynamics and a positive cosmological constant. This is accomplished by finding solutions in which the roles of $r$ and $t$ are interchanged for all $r>0$ (i.e. $r$ becomes timelike and $t$ becomes spacelike). Constant time hypersurfaces have topology $R\times S^2$ and in all the spacetimes considered the radius of the two sphere vanishes as $t$ goes to zero. The scale factor of the other dimension diverges as $t$ goes to zero in some solutions and vanishes (or goes to a constant) in other solutions. At late times local observers would see the universe to be homogeneous and isotropic.
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