Spinning charged BTZ black holes and self-dual particle-like solutions

TL;DR

This paper constructs spinning charged solutions from static BTZ black holes, introduces self-dual horizonless solutions, and resolves divergences by adding a Chern-Simons term, enriching the understanding of 2+1 dimensional gravity.

Contribution

It presents a new family of spinning charged solutions and a method to regularize divergences using a Chern-Simons term in 2+1 dimensions.

Findings

Generated spinning charged solutions from static BTZ black holes.

Found self-dual solutions that are horizonless and regular.

Resolved divergences with a Chern-Simons term.

Abstract

We generate from the static charged BTZ black hole a family of spinning charged solutions to the Einstein-Maxwell equations in 2+1 dimensions. These solutions go over, in a suitable limit, to self-dual spinning charged solutions, which are horizonless and regular, with logarithmically divergent mass and spin. To cure this divergence, we add a topological Chern-Simons term to the gauge field action. The resulting self-dual solution is horizonless, regular, and asymptotic to the extreme BTZ black hole.