Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory

Abstract

We apply the energy-momentum tensor which is coordinate independent to calculate the energy content of the axisymmetric solutions. Our results are compared with what have been obtained before within the framework of Einstein general relativity and Møler's tetrad theory of gravitation.

arXiv comment14 pages Latex. arXiv admin note: text overlap with arXiv:gr-qc/0609018, arXiv:0704.0488 by other authors

References in corpus (18)

• Metric-Affine Gauge Theory of Gravity: Field Equations, Noether Identities, World Spinors, and Breaking of Dilation Invariance
• Metric-affine approach to teleparallel gravity
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Gravitational Couplings of Intrinsic Spin
• Hamiltonian formulation of general relativity in the teleparallel geometry
• Covariance properties and regularization of conserved currents in tetrad gravity
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• The gravitational energy-momentum tensor and the gravitational pressure
• Observable frequency shifts via spin-rotation coupling
• Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence
• The angular momentum of the gravitational field and the Poincare group
• Energy-momentum current for coframe gravity
• Energy-momentum and angular momentum densities in gauge theories of gravity
• Generalized Equivalence Principle in Extended New General Relativity
• The gravitational energy-momentum flux
• Teleparallel Version of the Stationary Axisymmetric Solutions and their Energy Contents
• Energy Distribution associated with Static Axisymmetric Solutions
• Rotation intrinsic spin coupling--the parallelism description

Cited by in corpus (22)

• f(T) teleparallel gravity and cosmology
• Charged spherically symmetric black holes in $f(R)$ gravity and their stability analysis
• Bounce inflation in $f(T)$ Cosmology: A unified inflaton-quintessence field
• Solar System tests in $f(T)$ gravity
• Constraining f(T) gravity in the Solar System
• Exact Teleparallel Gravity of Binary Black Holes
• $D$-dimensional charged Anti-de-Sitter black holes in $f(T)$ gravity
• Thermodynamic topology of black Holes in f(R) gravity
• Constraining the Schwarzschild-de Sitter Solution in Models of Modified Gravity
• Rotating and non-rotating AdS black holes in $f(\mathcal{T})$ gravity non-linear electrodynamics
• A frame based approach to computing symmetries with non-trivial isotropy groups
• Lorenz Gauge Fixing of $f(T)$ Teleparallel Cosmology
• Consistency between black hole and mimetic gravity -- Case of $(2+1)$-dimensional gravity
• Rotating black hole in $f(R)$ theory
• The Hidden Flat Like Universe II: Quasi inverse power law inflation by $f(T)$ gravity
• Charged Anti-de Sitter BTZ black holes in Maxwell-$f(T)$ gravity
• Multi-horizons black hole solutions, photon sphere and perihelion shift in weak ghost-free Gauss-Bonnet theory of gravity
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Spherically symmetric charged black hole in conformal teleparallel equivalent of general relativity
• Charged (A)dS black hole solutions in conformal teleparallel equivalent of general relativity
• Charged analog of anisotropic dark energy star in Rastall gravity
• Charged spherically symmetric Taub-NUT black hole solutions in $f(R)$ gravity