Exact solutions of dilaton gravity with (anti)-de Sitter asymptotics

TL;DR

This paper introduces a method to derive exact spherically symmetric black hole solutions in dilaton gravity with (anti)-de Sitter asymptotics by modifying known flat solutions with an appropriate dilaton potential.

Contribution

It provides a systematic technique to generate (anti)-de Sitter solutions from asymptotically flat solutions in dilaton gravity with Maxwell fields.

Findings

Derived explicit (anti)-de Sitter black hole solutions

Established a method to add dilaton potentials to known solutions

Enhanced understanding of dilaton gravity with cosmological constants

Abstract

We present a technique for obtaining spherically symmetric, asymptotically (anti)-de Sitter, black hole solutions of dilaton gravity with generic coupling to a Maxwell field, starting from exact asymptotically flat solutions and adding a suitable dilaton potential to the action.