Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes

Abstract

This paper is devoted to investigate the teleparallel versions of the Friedmann models as well as the Lewis-Papapetrou solution. We obtain the tetrad and the torsion fields for both the spacetimes. It is shown that the axial-vector vanishes for the Friedmann models. We discuss the different possibilities of the axial-vector depending on the arbitrary functions $\omega$ and $\psi$ in the Lewis-Papapetrou metric. The vector related with spin has also been evaluated.

arXiv comment13 pages, accepted for publication in GRG

References in corpus (15)

• 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
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Gravitational Couplings of Intrinsic Spin
• Metric-affine gauge theory of gravity II. Exact solutions
• Collapsing sphere on the brane radiates
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• An exact solution of the metric-affine gauge theory with dilation, shear, and spin charges
• Teleparallel Spin Connection
• General Spherically Symmetric Non Singular Black Hole Solutions in Teleparallel Theory of Gravitation
• Vacuum Non Singular Black Hole Solutions in Tetrad Theory of Gravitation
• An axially symmetric solution of metric-affine gravity
• Rotation intrinsic spin coupling--the parallelism description
• Einstein-Yang-Mills solitons: towards new degrees of freedom

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• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
• Teleparallel Energy-Momentum Distribution of Static Axially Symmetric Spacetimes
• Energy Distribution in f(R) Gravity
• The Energy of Regular Black Hole in General Relativity Coupled to Nonlinear Electrodynamics
• Moeller's Energy-Momentum Complex for a Spacetime Geometry on a Noncommutative Curved D3-Brane
• Teleparallel Killing Vectors of Spherically Symmetric Spacetimes
• Teleparallel Energy-Momentum Distribution of Spatially Homogeneous Rotating Spacetimes
• Energy Momentum of Marder Universe in Teleparallel gravity
• Energy-Momentum of the Friedmann Models in General Relativity and Teleparallel Theory of Gravity
• Teleparallel Version of the Levi-Civita Vacuum Solutions and their Energy Contents
• An ASSF and the Teleparallelisim
• Teleparallel Energy-Momentum Distribution of Locally Rotationally Symmetric Spacetimes