On Lynden-Bell and Katz's definition of gravitational field energy

Details On Lynden-Bell and Katz's definition of gravitational field energy On Lynden-Bell and Katz's definition of gravitational field energy

Sep 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..889g&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, Sept. 1986, p. 889-897.

Physics

5

Gravitation Theory, Gravitational Fields, Relativity, Surface Layers, Field Strength, Reissner-Nordstrom Solution, Schwarzschild Metric, Space-Time Functions

Scientific paper

The covariant definition of gravitational field energy given by Lynden-Bell and Katz is expressed in terms of Israel's theory of surface layers in general relativity. In this way an expression, valid for arbitrary radial coordinates, of the gravitational field energy in a static, spherically symmetric space-time, is deduced. This expression is applied to the Schwarschild and Reissner-Nordstrom space-times, and leads here to the same results as those given by Einstein's pseudotensor expression in isotropic coordinates.

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