Energy of spherically symmetric spacetimes on regularizing teleparallelism

Abstract

We calculate the total energy of an exact spherically symmetric solutions, i.e., Schwarzschild and Reissner Nordstr$\ddot{o}$m, using the gravitational energy-momentum 3-form within the tetrad formulation of general relativity. We explain how the effect of the inertial makes the total energy unphysical! Therefore, we use the covariant teleparallel approach which makes the energy always physical one. We also show that the inertial has no effect on the calculation of momentum.

13 pages, Latex, No Figure, Will appear in IJMPA

References in corpus (7)

• Regularizing role of teleparallelism
• On reference frames in spacetime and gravitational energy in freely falling frames
• Reissner-Nordström Spacetime in the Tetrad Theory of Gravitation
• Conserved currents in gravitational models with quasi-invariant Lagrangians: Application to teleparallel gravity
• Translations and dynamics
• On the energy transported by exact plane gravitational-wave solutions
• Inertia and gravitation in teleparallel gravity

Cited by in corpus (7)

• Cosmography in f(T)-gravity
• Exact Teleparallel Gravity of Binary Black Holes
• Cosmic acceleration in non-flat $f(T)$ cosmology
• Cosmic acceleration and phantom crossing in $f(T)$-gravity
• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry
• Energy-momentum for a charged nonsingular black hole solution with a nonlinear mass function
• On the energy of a non-singular black hole solution satisfying the weak energy condition