Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1992
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992ap%26ss.196..199g&link_type=abstract
Astrophysics and Space Science (ISSN 0004-640X), vol. 196, no. 2, p. 199-206.
Astronomy and Astrophysics
Astrophysics
Gravitation Theory, Gravitational Fields, Space-Time Functions, Schwarzschild Metric, Stellar Gravitation
Scientific paper
Two definitions of gravitational energy, Einstein's pseudo-tensor expression of energy in curved space-time and Lynden-Bell and Katz's (LBK) definition, are shown to give equivalent results, as applied to spherically-symmetric static systems in the presence of arbitrary sources. The conjectured expression for energy density of field plus matter for general static space times, given by Katz, Lynden-Bell, and Israel (KLBI), is applied to a system with internal and external Schwarzschild metric, and also to a vacuum dominated space-time with the De Sitter metric. The physical contents of the KLBI-expression is discussed by analyzing the Newtonian limit in a space filled with matter.
Gron Oyvind
Johannesen Steinar
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