Classical resolution of singularities in dilaton cosmologies

Details Classical resolution of singularities in dilaton cosmologies Classical resolution of singularities in dilaton cosmologies

2005-07-14

arxiv.org/abs/hep-th/0507143v2

Class.Quant.Grav. 22 (2005) 4763-4782

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, 2 figures

Scientific paper

10.1088/0264-9381/22/22/008

For models of dilaton-gravity with a possible exponential potential, such as the tensor-scalar sector of IIA supergravity, we show how cosmological solutions correspond to trajectories in a 2D Milne space (parametrized by the dilaton and the scale factor). Cosmological singularities correspond to points at which a trajectory meets the Milne horizon, but the trajectories can be smoothly continued through the horizon to an instanton solution of the Euclidean theory. We find some exact cosmology/instanton solutions that lift to black holes in one higher dimension. For one such solution, the singularities of a big crunch to big bang transition mediated by an instanton phase lift to the black hole and cosmological horizons of de Sitter Schwarzschild spacetimes.

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