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

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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.

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, C. P. 04385, 70.919-970, Brasília, DF, Brazil

    J. W. Maluf & M. V. O. Veiga

  2. Universidade Federal do Tocantins, Campus Universitário de Arraias, 77.330-000, Arraias, TO, Brazil

    J. F. da Rocha-Neto

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  1. J. W. Maluf
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  2. M. V. O. Veiga
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  3. J. F. da Rocha-Neto
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Correspondence to J. W. Maluf.

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Maluf, J.W., Veiga, M.V.O. & da Rocha-Neto, J.F. Regularized expression for the gravitational energy-momentum in teleparallel gravity and the principle of equivalence. Gen Relativ Gravit 39, 227–240 (2007). https://doi.org/10.1007/s10714-006-0339-5

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  • DOI: https://doi.org/10.1007/s10714-006-0339-5

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