About some exact solutions for 2+1 gravity coupled to gauge fields

TL;DR

This paper explores exact static solutions in 2+1 dimensional Einstein gravity coupled with abelian gauge fields, including analogs of Schwarzschild black holes, revealing novel metric behaviors across horizons.

Contribution

It presents new exact solutions for 2+1 gravity with gauge fields, including black hole analogs and horizon structure analysis.

Findings

Existence of Schwarzschild-like solutions in 2+1 gravity

Metrics inside and outside horizons are connected by Planck mass sign change

New insights into horizon structure in lower-dimensional gravity

Abstract

Some exact static solutions for Einstein gravity in 2+1 dimensions coupled to abelian gauge field are discussed. Some of these solutions are three-dimensional analogs of the Schwarzschild black holes. The metrics in the regions inside and outside the horison are connected by the changing of the Planck mass sign.