Teleparallel Energy–momentum Distribution of Static Axially Symmetric Spacetimes

Abstract

This paper is devoted to discuss the energy-momentum for static axially symmetric spacetimes in the framework of teleparallel theory of gravity. For this purpose, we use the teleparallel versions of Einstein, Landau-Lifshitz, Bergmann and Möller prescriptions. A comparison of the results shows that the energy density is different but the momentum turns out to be constant in each prescription. This is exactly similar to the results available in literature using the framework of General Relativity. It is mentioned here that Möller energymomentum distribution is independent of the coupling constant λ. Finally, we calculate energy-momentum distribution for the Curzon metric, a special case of the above mentioned spacetime.

Energy Contents of Gravitational Waves in Teleparallel Gravity

“…For cylindrical gravitational waves, the energy expression turns out to be definite and well defined. The constant momentum corresponds to the result of GR [20] and teleparallel gravity [21]. In the case of spherical gravitational waves, we obtain well-defined energy and constant momentum which corresponds to the result of GR [7].…”

Non-Vacuum Plane Symmetric Solutions and their Energy Contents in f (R) Gravity

“…In teleparallel theory of gravity, a reasonable quantity of work [37][38][39][40][41][42][43][44] has been published on this issue, during the last decade. Multamaki et al [45] are the pioneers to discuss energy problem in f (R) theory of gravity.…”

Energy conditions in generalized teleparallel gravity models

“…Due to this reason, the teleparallel gravity is termed as 'teleparallel equivalent of general relativity' [12]. In teleparallel gravity, the dark energy puzzle is studied by introducing a scalar field with a potential.…”