Black holes, wormholes and the Hamiltonian approach in the framework of teleparallel gravity

Abstract

In order to elaborate the conserved energy distribution (due to matter and fields including gravity) associated with some black hole and wormhole models we investigate a general space–time in the framework of teleparallel gravity using the Hamiltonian approach. After performing the calculations to obtain the energy distributions generally, we consider four different specific space–times (two of which are black holes and the others are wormholes). Since, the general relativity versions of the calculations for the Vaidya black holes and conformal scalar dyon black holes have been done previously in the literature, we compare our results with both. We see that the results are the same and agree with each other. In this way, the calculations give consistency with the results of different formulations, both in general relativity and teleparallel gravity.