Investigation of the teleparallel energy momentum problem for Texture metric

Abstract

In this paper we have investigated Einstein (E), Bergmann–Thomson (BT) and Landau–Lifshitz (LL) energy–momentum distributions for Texture metric in Teleparallel gravitation (TG) theory. Although these energy–momentum complexes have different definitions, Einstein and Bergmann–Thomson energy distributions give the same result for the Texture metric in TG, while different result is obtained for the Landau–Lifshitz energy distribution. Also, we get different results for the Einstein, BT and LL momentum (M) distributions in TG. In 2010, Aygün (2010) investigated the energy–momentum distributions of Texture and Monopole metrics in General Relativity (GR). However, the same results were obtained for the Einstein and BT energy distributions. These results are the same as those in TG theory for Texture metric.