Black holes and naked singularities in four dimensional (A)dS Chamseddine gravity

TL;DR

This paper explores diverse black hole and naked singularity solutions in four-dimensional Chamseddine gravity, highlighting their unique properties such as vanishing conserved charges and the role of torsion.

Contribution

It introduces new solutions in four-dimensional Chamseddine's topological gravity, including black holes and naked singularities, with a focus on their conserved charges and torsion features.

Findings

All solutions have vanishing conserved charges.

Solutions include black holes with and without torsion.

Naked singularity solutions are also identified.

Abstract

We analyze solutions of Chamseddine's topological gravity in four space-time dimensions and discover various black hole solutions with(out) torsion as well as those that describe naked singularities. Because all of the solutions belong to the sector with vanishing scalar fields, they share peculiar trait that all conserved charges are vanishing.