Exactly solvable charged dilaton gravity theories in two dimensions

TL;DR

This paper introduces exactly solvable two-dimensional dilaton gravity models with a U(1) gauge field, providing explicit classical solutions and discussing their potential for studying gravitational back-reaction.

Contribution

It presents new exactly solvable models of 2D dilaton gravity with gauge fields and derives explicit classical solutions involving matter fields.

Findings

Classical solutions expressed in terms of stress-energy tensor and U(1) current

Discussion of challenges in modeling gravitational back-reaction

Framework for analyzing matter-coupled 2D gravity theories

Abstract

We find exactly solvable dilaton gravity theories containing a U(1) gauge field in two dimensional space-time. The classical general solutions for the gravity sector (the metric plus the dilaton field) of the theories coupled to a massless complex scalar field are obtained in terms of the stress-energy tensor and the U(1) current of the scalar field. We discuss issues that arise when we attempt to use these models for the study of the gravitational back-reaction.