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

Abstract

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.

27 pages

References in corpus (1)

• BPS Branes in Supergravity

Cited by in corpus (7)

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• Dimensional Reduction of Gravity and Relation between Static States, Cosmologies and Waves
• Integrable Models of 1+1 Dimensional Dilaton Gravity Coupled to Scalar Matter
• Unified description of cosmological and static solutions in affine generalized theories of gravity: vecton - scalaron duality and its applications
• A New Integrable Model of (1+1)-Dimensional Dilaton Gravity Coupled to Toda Matter
• Two-Dimensional Dilaton Gravity and Toda - Liouville Integrable Models