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

TL;DR

This paper provides a comprehensive classification of static and homogeneous solutions in exactly solvable 2D dilaton gravity models, including new solutions with black holes, horizons, and exact AdS/dS geometries.

Contribution

It offers a complete list of solutions in a broad class of 2D dilaton gravity models, extending known solutions and including new exact semiclassical geometries.

Findings

Includes solutions with black hole and cosmological horizons in thermal equilibrium.

Demonstrates exact AdS and dS solutions with nonconstant dilaton fields.

Provides concrete examples illustrating the solution space.

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.