The gravitational energy-momentum tensor and the gravitational pressure

Details The gravitational energy-momentum tensor and the gravitational pressure The gravitational energy-momentum tensor and the gravitational pressure

2005-04-18

arxiv.org/abs/gr-qc/0504077v2

AnnalenPhys.14:723-732,2005

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, Latex file. Two references added. Revised in view of Referee's comments. Accepted by Annalen der Physik

Scientific paper

10.1002/andp.200510161

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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