Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes

Abstract

The energy-momentum distribution of spatially homogeneous rotating spacetimes in the context of teleparallel theory of gravity is investigated. For this purpose, we use the teleparallel version of Moller prescription. It is found that the components of energy-momentum density are finite and well-defined but are different from General Relativity. However, the energy-momentum density components become the same in both theories under certain assumptions. We also analyse these quantities for some special solutions of the spatially homogeneous rotating spacetimes.

arXiv comment12 pages, accepted for publication in Int. J. Theor. Phys

References in corpus (24)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Gravitational Lorentz Force and the Description of the Gravitational Interaction
• Gravitational Energy-Momentum Density in Teleparallel Gravity
• Pseudotensors and quasilocal energy-momentum
• Naked singularities and Seifert's conjecture
• The energy of the universe in teleparallel gravity
• Energy-Momentum Complex in Møller's Tetrad Theory of Gravitation
• Metric-affine gauge theory of gravity II. Exact solutions
• A conformal scalar dyon black hole solution
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges
• Energy-Momentum in viscous Kasner-type Universe in Bergmann-Thomson Formulations
• Møller energy of the nonstatic spherically symmetric metrics
• An axially symmetric solution of metric-affine gravity
• Riemannian and Teleparallel Descriptions of the Scalar Field Gravitational Interaction
• Energy and Momentum in Spacetime Homogeneous G$\ddot{o}$del-type Metrics
• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Energy-Momentum in the Viscous Kasner-type Universe in Teleparallel Gravity
• Energy of the Universe in Bianchi-type I Models in Moller's Tetrad Theory of Gravity
• Relative Energy-Momentum of the Bianchi-I Type Universes in Teleparallel Gravity
• Energy-Momentum Distribution: A Crucial Problem in General Relativity
• Energy and Momentum of a Class of Rotating Gravitational Waves
• Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents

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• Kantowski-Sachs Universe Models in $f(T)$ Theory of Gravity
• Energy Contents of Some Non-Vacuum Spacetimes in Teleparallel Gravity
• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Energy Contents of a Class of Regular Black Hole Solutions in Teleparallel Gravity
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes