Two-dimensional description of D-dimensional static black holes with pointlike sources

TL;DR

This paper derives two-dimensional solutions in a dilaton gravity model that accurately represent D-dimensional static black holes with pointlike sources, maintaining the mass correspondence between the higher and lower-dimensional descriptions.

Contribution

It introduces a method to obtain 2D solutions that preserve the mass relation of D-dimensional static black holes with pointlike sources.

Findings

Derived 2D solutions for D-dimensional black holes with sources

Maintained mass equality between D-dimensional and 2D models

Provided a framework for analyzing black holes with pointlike sources in lower dimensions

Abstract

We derive two-dimensional (2D) solutions of a generic dilaton gravity model coupled with matter, which describe D-dimensional static black holes with pointlike sources. The equality between the mass M of the D-dimensional gravitational solution and the mass m of the source can be preserved also at the level of the 2D gravity model.