Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence

Abstract

The expression of the gravitational energy-momentum defined in the context of the teleparallel equivalent of general relativity is extended to an arbitrary set of real-valued tetrad fields, by adding a suitable reference space subtraction term. The characterization of tetrad fields as reference frames is addressed in the context of the Kerr space-time. It is also pointed out that Einstein's version of the principle of equivalence does not preclude the existence of a definition for the gravitational energy-momentum density.

17 pages, Latex file, no figure; minor correction in eq. (14), three references added, to appear in the GRG Journal

References in corpus (9)

• Quasilocal Energy and Conserved Charges Derived from the Gravitational Action
• Energy and angular momentum of the gravitational field in the teleparallel geometry
• Hamiltonian formulation of general relativity in the teleparallel geometry
• Length measurement in accelerated systems
• Axial-Vector Torsion and the Teleparallel Kerr Spacetime
• Vacuum Electrodynamics of Accelerated Systems: Nonlocal Maxwell's Equations
• General relativity on a null surface: Hamiltonian formulation in the teleparallel geometry
• The gravitational energy-momentum flux
• On gravitational radiation and the energy flux of matter

Cited by in corpus (32)

• The teleparallel equivalent of general relativity
• Nonlocal Gravity Simulates Dark Matter
• A formal framework for a nonlocal generalization of Einstein's theory of gravitation
• Covariance properties and regularization of conserved currents in tetrad gravity
• Spin Connection and Renormalization of Teleparallel Action
• Charged Dilaton, Energy, Momentum and Angular-Momentum in Teleparallel Theory Equivalent to General Relativity
• Stationary Axisymmetric Solutions and their Energy Contents in Teleparallel Equivalent of Einstein Theory
• Brane World black holes in Teleparallel Theory Equivalent to General Relativity and their Killing vectors, Energy, Momentum and Angular-Momentum
• Kerr geometry in f(T) gravity
• The Gravitational Energy Problem for Cosmological Models in Teleparallel Gravity
• Teleparallelism: A New Insight Into Gravity
• On the energy of charged black holes in generalized dilaton-axion gravity
• Conserved Currents and Superpotentials in Teleparallel Equivalent of General Relativity
• On the energy of Hořava-Lifshitz black holes
• Weitzenböck's Torsion, Fermi Coordinates and Adapted Frames
• On the gravitational angular momentum of rotating sources
• Tetrad Fields, Reference Frames, and the Gravitational Energy-Momentum in the Teleparallel Equivalent of General Relativity
• Neutron Stars in Teleparallel Gravity
• Inertia and gravitation in teleparallel gravity
• Gravitational energy and radiation of a charged black hole
• Energy distribution of a regular black hole solution in Einstein-nonlinear electrodynamics
• The equivalence principle for a plane gravitational wave in torsion based and non-metricity based teleparallel equivalents of general relativity
• Localization of Energy and Momentum in an Asymptotically Reissner-Nordström Non-singular Black Hole Space-time Geometry
• Gravitational Pressure, apparent horizon and thermodynamics of FLRW universe in the teleparallel gravity
• Distribution of Energy-Momentum in a Schwarzschild-Quintessence Space-time Geometry
• Mass and angular momentum for the Kerr black hole in TEGR and STEGR
• On Quantum Cosmology in Teleparallel Gravity
• Regularization of Kerr-NUT spacetimes and their thermodynamical quantities
• Energy-Momentum Localization for a Space-Time Geometry Exterior to a Black Hole in the Brane World
• On Non-commutative Corrections of Gravitational Energy in Teleparallel Gravity
• Kerr-Schild metrics in teleparallel gravity
• Gravitational radiation fields in teleparallel equivalent of general relativity and their energies