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 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.

arXiv comment14 pages, accepted for publication in Mod. Phys. Lett. A

References in corpus (19)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Pseudotensors and quasilocal energy-momentum
• Naked singularities and Seifert's conjecture
• Energy and angular momentum of charged rotating black holes
• Energy-Momentum Complex in Møller's Tetrad Theory of Gravitation
• A conformal scalar dyon black hole solution
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• Energy-Momentum in viscous Kasner-type Universe in Bergmann-Thomson Formulations
• Møller energy of the nonstatic spherically symmetric metrics
• Energy Distribution of a Charged Regular Black Hole
• Energy and Momentum in Spacetime Homogeneous G$\ddot{o}$del-type Metrics
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Energy and Momentum of a Class of Rotating Gravitational Waves
• Energy-Momentum Distribution: A Crucial Problem in General Relativity
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Energy in Reboucas-Tiomno-Korotkii-Obukhov and Godel-type Space-times in Bergmann-Thomson's Formulations
• Energy Distribution associated with Static Axisymmetric Solutions
• Energy-Momentum Distribution of the Weyl-Lewis-Papapetrou and the Levi-Civita Metrics

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• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Energy Contents of Gravitational Waves in Teleparallel Gravity
• Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry
• Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World
• Translation gauge field theory of gravity in Minkowski spacetime
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes