Soluble models in 2d dilaton gravity

TL;DR

This paper introduces a class of exactly solvable 2D dilaton gravity models that interpolate between different geometries, analyzing black hole formation, evaporation, and quantum effects with potential cosmological implications.

Contribution

It presents a new family of soluble 2D dilaton gravity models that include back-reaction, unifying previous models and enabling detailed analysis of black hole dynamics and quantum effects.

Findings

Exact solutions for black hole formation and evaporation.

Interpolation between flat and curved geometries.

Discussion of quantum and cosmological aspects.

Abstract

A one-parameter class of simple models of two-dimensional dilaton gravity, which can be exactly solved including back-reaction effects, is investigated at both classical and quantum levels. This family contains the RST model as a special case, and it continuously interpolates between models having a flat (Rindler) geometry and a constant curvature metric with a non-trivial dilaton field. The processes of formation of black hole singularities from collapsing matter and Hawking evaporation are considered in detail. Various physical aspects of these geometries are discussed, including the cosmological interpretation.