Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity

Details Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity Classification of static and homogeneous solutions in exactly solvable models of two-dimensional dilaton gravity

2002-12-25

arxiv.org/abs/hep-th/0212298v1

Int.J.Mod.Phys. A18 (2003) 4837-4650

Physics

High Energy Physics

High Energy Physics - Theory

19 pages. To appear in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X03015696

We give the full list of types of static (homogeneous)solutions within a wide family of exactly solvable 2D dilaton gravities with backreaction of conformal fields. It includes previously known solutions as particular cases. Several concrete examples are considered for illustration. They contain a black hole and cosmological horizon in thermal equilibrium, extremal and ultraextremal horizons, etc. In particular, we demonstrate that adS and dS geometries can be \QTR{it}{exact} solutions of semiclassical field equations for a \QTR{it}{nonconstant} dilaton field.

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