Gravitational Energy-Momentum Density in Teleparallel Gravity
V. C. de Andrade, L. C. T. Guillen, J. G. Pereira
Abstract
In the context of a gauge theory for the translation group, a conserved energy-momentum gauge current for the gravitational field is obtained. It is a true spacetime and gauge tensor, and transforms covariantly under global Lorentz transformations. By rewriting the gauge gravitational field equation in a purely spacetime form, it becomes the teleparallel equivalent of Einstein's equation, and the gauge current reduces to the Møller's canonical energy-momentum density of the gravitational field.
Create a lesson
Related papers
An exact rotating black hole solution in Palatini Kalb-Ramond gravity
A. A. Araújo Filho
Internal translation gauging and local gravitational energy in Weyl gauge theory
Michael Hobson, Will Barker, Anthony Lasenby
Bessel-Hagen currents, reducibility charges, and local gravitational energy
Michael Hobson, Will Barker, Anthony Lasenby
Relativistic dynamical friction in Kerr-Schild coordinates
Zipeng Wang, Francesca Chadha-Day, Katy Clough et al.
The School on Gravity: from motion to commotion
Vitor Cardoso, Jose María Ezquiaga, Julio Parra-Martinez et al.
Binary Ellis-Bronnikov wormholes in 3+1 numerical relativity: mergers, fly-bys and gravitational waves
Nikita M. Shirokov, Ilya Nachevsky