On dynamic properties of gravitational fields

Details On dynamic properties of gravitational fields On dynamic properties of gravitational fields

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..695s&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 17, July 1985, p. 695-717. Translation.

Mathematics

Gravitation Theory, Gravitational Fields, Relativity, Riemann Manifold, Flux Density, Lagrange Coordinates, Momentum Theory, Points (Mathematics), Reference Systems, Scalars, Space-Time Functions, Tensors

Scientific paper

Using a theory for the individualization of points of a Riemannian space and introduction of corresponding comoving reference systems for the gravitational field in classical general relativity, expressions are obtained for the field energy density as a four-dimensional scalar and a field energy-momentum tensor of rank 2 (not pseudoscalar and pseudotensor, respectively). The results relate to all types of vacuum Riemannian space in agreement with the classifications of Petrov (1950 and 1966) and Penrose (1960).

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