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

Abstract

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.

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

References in corpus (3)

• Dilaton Gravity in Two Dimensions
• Superstrings in 2D Backgrounds with R-R Flux and New Extremal Black Holes
• Exactly solvable models in 2D semiclassical dilaton gravity and extremal black holes

Cited by in corpus (2)

• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Boulware state in exactly solvable models of 2D dilaton gravity