Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces

Details Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces Simple cosmological de Sitter solutions on dS$_4 \times Y_6$ spaces

2009-01-19

arxiv.org/abs/0901.2568v4

Class. Quant. Grav.27:045011, 2010

Physics

High Energy Physics

High Energy Physics - Theory

15 pages, no figures; matches published version

Scientific paper

10.1088/0264-9381/27/4/045011

Explicit time-dependent solutions of the 10D vacuum Einstein equations are found for which spacetime is compactified on six-dimensional warped spaces. We explicitly work out an example where the internal manifold is a six-dimensional generalized space having positive, negative or zero scalar curvature, whose base can be a five-sphere $S^5$ or an Einstein space $T^{1,1}=(S^2\times S^2)\rtimes S^1$. In this paper, inflationary de Sitter solutions are found just by solving the 10D vacuum Einstein equations. Our results further show that the limitation with warped models studied to date has arisen partly from an oversimplification of the 10D metric ansatz. We also give some explicit examples of a non-singular warped compactification on de Sitter space dS$_4$.

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