On the relative energy associated with space-times of diagonal metrics

Pramana

Ali havare3²  Murat Korunur1³  Mustafa Salti2¹ 

[1] Department of Physics, Middle East Technical University, 06531, Ankara-Turkey$$;Department of Physics, Mersin University, 33343, Mersin-Turkey$$;Department of Physics, Dicle University, 21280, Diyarbakir-Turkey$$

关键词: Energy;    diagonal space-times;    teleparallel theory.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

In order to evaluate the energy distribution (due to matter and fields including gravitation) associated with a space-time model of generalized diagonal metric, we consider the Einstein, Bergmann–Thomson and Landau–Lifshitz energy and/or momentum definitions both in Einstein's theory of general relativity and the teleparallel gravity (the tetrad theory of gravitation). We find same energy distribution using Einstein and Bergmann–Thomson formulations, but we also find that the energy–momentum prescription of Landau–Lifshitz disagree in general with these definitions. We also give eight different well-known space-time models as examples, and considering these models and using our results, we calculate the energy distributions associated with them. Furthermore, we show that for the Bianchi Type-I models all the formulations give the same result. This result agrees with the previous works of Cooperstock–Israelit, Rosen, Johri et al, Banerjee–Sen, Xulu, Vargas and Saltı et al and supports the viewpoints of Albrow and Tryon.

【 授权许可】

Unknown