Modifications of the BTZ black hole by a dilaton/scalar

TL;DR

This paper explores how introducing a dilaton/scalar field modifies the static BTZ black hole solutions, resulting in new classes of black holes with calculable mass and temperature, and examines their quantum singularity behavior.

Contribution

It presents new static black hole solutions with a dilaton/scalar field, extending the BTZ black hole family and analyzing their physical properties and quantum singularities.

Findings

New classes of static black hole solutions are derived.

Mass and temperature of these black holes are computed.

Quantum behavior near singularities is analyzed.

Abstract

We investigate some modifications of the static BTZ black hole solution due to a chosen asymptotically constant dilaton/scalar. New classes of static black hole solutions are obtained. One of the solutions contains the Martinez-Zanelli conformal black hole solution as a special case. Using quasilocal formalism, we calculate their mass for a finite spatial region that contains the black hole. Their temperatures are also computed. Finally, using some of the curvature singularities as examples, we investigate whether a quantum particle behaves singularly or not.