Vaidya-like exact solutions with torsion

TL;DR

This paper constructs Vaidya-like exact vacuum solutions with torsion in three-dimensional Poincaré gauge theory, extending known black hole solutions and analyzing their asymptotic symmetries and energy contributions.

Contribution

It introduces a new class of exact solutions with torsion based on the Oliva--Tempo--Troncoso black hole, highlighting their asymptotic conformal symmetry and energy properties.

Findings

Solutions possess asymptotic conformal symmetry.

Canonical energy includes torsion contributions.

Extends black hole solutions to Vaidya-like configurations.

Abstract

Starting from the Oliva--Tempo--Troncoso black hole, a solution of the Bergshoeff--Hohm--Townsend massive gravity, a class of the Vaidya-like exact vacuum solutions with torsion is constructed in the three-dimensional Poincar\'e gauge theory. A particular subclass of these solutions is shown to possess the asymptotic conformal symmetry. The related canonical energy contains a contribution stemming from torsion.