Remarks on the necessity and uniqueness of the gravitational stress-energy pseudotensor

Details Remarks on the necessity and uniqueness of the gravitational stress-energy pseudotensor Remarks on the necessity and uniqueness of the gravitational stress-energy pseudotensor

Feb 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987apj...313...37n&link_type=abstract

Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 313, Feb. 1, 1987, p. 37-41.

Statistics

Computation

5

Gravitational Fields, Stress Tensors, Uniqueness Theorem, Chandrasekhar Equation, Computational Astrophysics, Differential Equations, Relativity

Scientific paper

Two uniqueness theorems are presented. The first one proves that the gravitational stress-energy pseudotensors (with upper indices) whose existence was demonstrated by Chandrasekhar are the only ones which are quadratic in the Christoffel symbols. The second theorem proves that the gravitational stress-energy tensor used recently by the writer is the only solution of its differential equation. Furthermore, arguments are presented here for the appropriateness of the differential equation which is used to define the gravitational stress-energy tensor.

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