Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes

Details Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes

2007-04-17

arxiv.org/abs/0704.2099v1

Mod.Phys.Lett.A23:3167-3177,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages, accepted for publication in Mod. Phys. Lett. A

Scientific paper

10.1142/S0217732308027035

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 M$\ddot{o}$ller 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 M$\ddot{o}$ller energy-momentum distribution is independent of the coupling constant $\lambda$. Finally, we calculate energy-momentum distribution for the Curzon metric, a special case of the above mentioned spacetime.

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