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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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

Scientific paper

10.1007/s10714-006-0339-5

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.

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