Energy Contents of Some Non-Vacuum Spacetimes in Teleparallel Gravity

Abstract

This paper elaborates the problem of energy-momentum in the framework of teleparallel equivalent of General Relativity. For this purpose, we consider energy-momentum prescription derived from the integral form of the constraint equations developed in the Hamiltonian formulation of the teleparallel equivalent of General Relativity. We use this technique to investigate energy-momentum of stationary axisymmetric Einstein-Maxwell solutions and cosmic string spacetimes. The angular momentum, gravitational and matter energy-momentum fluxes of these spacetimes are also evaluated. It is concluded that the results of teleparallel theory are relatively analogous to the results of General Relativity.

20 pages, accepted for publication in Astrophysics and Space Science

References in corpus (4)

• Teleparallel Energy-Momentum Distribution of Lewis-Papapetrou Spacetimes
• Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes
• Cosmological constant influence on cosmic string spacetime
• Energy of general 4-dimensional stationary axisymmetric spacetime in the teleparallel geometry

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• K-essence Models and Cosmic Acceleration in Generalized Teleparallel Gravity
• On the energy of Hořava-Lifshitz black holes
• Energy Contents of Some Well-Known Solutions in Teleparallel Gravity
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• Energy Distribution for Non-commutative Radiating Schwarzschild Black Holes
• Energy Contents of a Class of Regular Black Hole Solutions 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
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes