String Cosmology with a Time-Dependent Antisymmetric Tensor Potential

Details String Cosmology with a Time-Dependent Antisymmetric Tensor Potential String Cosmology with a Time-Dependent Antisymmetric Tensor Potential

1994-10-19

arxiv.org/abs/hep-th/9410136v1

Phys.Rev.D51:1569-1576,1995

Physics

High Energy Physics

High Energy Physics - Theory

13 pages, REVTeX, Sussex-Ast-94/10-1

Scientific paper

10.1103/PhysRevD.51.1569

We present a class of exact solutions for homogeneous, anisotropic cosmologies in four dimensions derived from the low-energy string effective action including a homogeneous dilaton $\phi$ and antisymmetric tensor potential $B_{\mu\nu}$. Making this potential time-dependent produces an anisotropic energy-momentum tensor, and leads us to consider a Bianchi I cosmology. The solution for the axion field must then only be a linear function of one spatial coordinate. This in turn places an upper bound on the product of the two scale factors evolving perpendicular to the gradient of the axion field. The only late-time isotropic solution is then a {\em contracting} universe.

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