Gravitational energy of spherically-symmetric static systems |
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Authors: | Ø Grøn S Johannesen |
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Institution: | (1) Oslo College of Engineering, Oslo, Norway;(2) Institute of Physics, University of Oslo, Blindern, Oslo, Norway |
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Abstract: | 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-symetric static systems in the presence of arbitary 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. |
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