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arXiv · hep-th/0102187

Anisotropic Born-Infeld Cosmologies

Dan N. Vollick
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Abstract

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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Dan N. Vollick. 2001-02-27. Anisotropic Born-Infeld Cosmologies. https://doi.org/10.1023/a%3A1024551105800

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