Moller Energy Complexes of Monopoles and Textures in General Relativity and Teleparallel Gravity

The energy problem of monopole and texture spacetimes is investigated in
the context of two different approaches of gravity such as general relativity and teleparallel gravity. In this connection, firstly the energies for monopoles and textures are evaluated by using the Moller energy--momentum prescription in different approximations. It is obtained that energy distributions of Moller definition give the same results for these topological defects (monopole and texture) in general relativity (GR) and teleparallel gravity (TG). The results strengthen the importance of the Moller energy--momentum definitions in given spacetimes and the viewpoint of Lessner that Moller energy--momentum complex is a powerful concept for energy and momentum.