Symmetries in two-dimensional dilaton gravity with matter

TL;DR

This paper explores the symmetries of two-dimensional dilaton gravity models with matter, extending known symmetries to include matter fields and providing classical solutions for models with chiral matter.

Contribution

It generalizes the symmetry  of matterless models to include matter fields and derives classical solutions for models with chiral matter.

Findings

Extended symmetry  to models with matter

Derived classical solutions for models with chiral matter

Generalized Vaidya solution in 2D dilaton gravity

Abstract

The symmetries of generic 2D dilaton models of gravity with (and without) matter are studied in some detail. It is shown that $\delta_2$, one of the symmetries of the matterless models, can be generalized to the case where matter fields of any kind are present. The general (classical) solution for some of these models, in particular those coupled to chiral matter, which generalizes the Vaidya solution of Einstein Gravity, is also given.