The gravitational energy‐momentum tensor and the gravitational pressure | Zendy

Maluf J.W. | Zendy

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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.

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