Integrable Low Dimensional Models for Black Holes and Cosmologies from High Dimensional Theories

Details Integrable Low Dimensional Models for Black Holes and Cosmologies from High Dimensional Theories Integrable Low Dimensional Models for Black Holes and Cosmologies from High Dimensional Theories

2005-04-12

arxiv.org/abs/hep-th/0504101v1

Physics

High Energy Physics

High Energy Physics - Theory

27 pages

Scientific paper

We describe a class of integrable models of 1+1 and 1-dimensional dilaton gravity coupled to scalar fields. The models can be derived from high dimensional supergravity theories by dimensional reductions. The equations of motion of these models reduce to systems of the Liouville equations endowed with energy and momentum constraints. We construct the general solution of the 1+1 dimensional problem in terms of chiral moduli fields and establish its simple reduction to static black holes (dimension 0+1), and cosmological models (dimension 1+0). We also discuss some general problems of dimensional reduction and relations between static and cosmological solutions.

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