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The gravitational energy‐momentum tensor and the gravitational pressure
Author(s) -
Maluf J.W.
Publication year - 2005
Publication title -
annalen der physik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.009
H-Index - 68
eISSN - 1521-3889
pISSN - 0003-3804
DOI - 10.1002/andp.200510161
Subject(s) - superluminal motion , physics , photon , momentum (technical analysis) , gravitational field , covariant transformation , scattering , pulse (music) , field (mathematics) , quantum electrodynamics , classical mechanics , tensor (intrinsic definition) , quantum mechanics , mathematics , finance , voltage , pure mathematics , economics
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 properties: (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) is 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.