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The gravitational energy-momentum tensor and the gravitational pressure

J. W. Maluf
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Abstract

In the framework of the teleparallel equivalent of general relativity it is possible to establish the energy-momentum tensor of the gravitational field. This tensor has the following essential features: (1) it is identified directly in Einstein's field equations; (2) it is conserved and traceless; (3) it yields expressions for the energy and momentum of the gravitational field; (4)it is free of second (and highest) derivatives of the field variables; (5) the gravitational and matter energy-momentum tensors take place in the field equations on the same footing; (6) it is unique. However, it is not symmetric. We show that the spatial components of this tensor yield a consistent definition of the gravitational pressure.

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J. W. Maluf. 2005-07-28. The gravitational energy-momentum tensor and the gravitational pressure. https://doi.org/10.1002/andp.200510161

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