Vaidya-like exact solutions with torsion

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 Poincaré 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.

Generalized plane waves in Poincaré gauge theory of gravity

“…An important class of these solutions consists of the gravitational waves [31][32][33][34][35], one of the best known families of exact solutions in GR. For many years, investigation of gravitational waves has been an interesting subject also in the framework of PGT [36][37][38][39][40][41][42][43][44][45], as well as in the metric-affine gravity theory which is obtained in the gauge-theoretic approach when the Poincaré group is extended to the general affine symmetry group [46][47][48][49][50][51][52][53][54]. Noticing that dynamical effects of the parity odd sector of PGT are not sufficiently well known, recently one of us [55] has studied exact plane wave solutions with torsion in vacuum, propagating on the flat background, for the case of the vanishing cosmological constant Λ.…”