Energy–momentum Distribution: A Crucial Problem in General Relativity

Amir

2007

Gen Relativ Gravit

Self Cite

This work contains the teleparallel version of the stationary axisymmetric solutions. We obtain the tetrad and the torsion fields representing these solutions. The tensor, vector and axial-vector parts of the torsion tensor are evaluated. It is found that the axial-vector has component only along ρ and z directions. The three possibilities of the axial vector depending on the metric function B are discussed. The vector related with spin has also been evaluated and the corresponding extra Hamiltonian is furnished. Further, we use the teleparallel version of Möller prescription to find the energy-momentum distribution of the solutions. It is interesting to note that (for λ = 1) energy and momentum densities in teleparallel theory are equal to the corresponding quantities in GR plus an additional quantity in each, which may become equal under certain conditions. Finally, we discuss the two special cases of the stationary axisymmetric solutions.

Section: Summary and Discussionsupporting

confidence: 52%

“…When we choose λ = 1, it becomes equal to be the momentum in GR [63] plus an additional quantity. IfF,Ḃ, B ,K all vanish, then…”

Section: Summary and Discussionmentioning

confidence: 99%

Teleparallel version of the stationary axisymmetric solutions and their energy contents

Amir

2007

Gen Relativ Gravit

Self Cite

“…If we take γ ρ e γ = −2ρψ z 2 then energy also becomes constant which coincides with the energy in GR [40][41][42]. It is worth mentioning here that the results are independent of the coupling constant λ, that is, these results are valid for any teleparallel theory.…”

Section: Energy-momentum Densities In Möller Prescriptionsupporting

confidence: 63%

“…In recent papers [26][27][28][39][40][41][42], Sharif and his collaborators used different prescriptions to determine the energy-momentum distribution for various spacetimes in GR. These results do not coincide for any of the prescriptions.…”

Section: Summary and Discussionmentioning

confidence: 99%

See 1 more Smart Citation

Teleparallel Energy–momentum Distribution of Static Axially Symmetric Spacetimes

Amir

2008

Mod. Phys. Lett. A

Self Cite

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 Distribution Associated with Static Axisymmetric Solutions

Fatima

2006

Astrophys Space Sci

Self Cite

This paper has been addressed to a very old but burning problem of energy in General Relativity. We evaluate energy and momentum densities for the static and axisymmetric solutions. This specializes to two metrics, i.e., Erez-Rosen and the gamma metrics, belonging to the Weyl class. We apply four well-known prescriptions of Einstein, Landau-Lifshitz, Papapetrou and Möller to compute energymomentum density components. We obtain that these prescriptions do not provide similar energy density, however momentum becomes constant in each case. The results can be matched under particular boundary conditions.