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Nöther conserved quantities and entropy in general relativity. (English) Zbl 1202.83039

Cianci, R. (ed.) et al., Recent developments in general relativity, Genova 2000. Proceedings of the 14th SIGRAV conference on general relativity and gravitational physics, Genova, September 18–22, 2000. Milano: Springer (ISBN 88-470-0162-5/pbk). 75-91 (2002).
Summary: In the framework of classical field theories, the notions of conserved quantities and entropy for stationary solutions of covariant theories of gravitation, e.g. of Einstein field equations of general relativity, are discussed. Nöther theorem is used to provide the correct definition of (covariantly) conserved quantities such as mass and angular momentum. The variation of entropy is then defined as a macroscopical quantity which satisfies a Clausius-like first principle of thermodynamics. Finally, a proposal for the entropy of non-stationary solutions is discussed.
For the entire collection see [Zbl 1063.83501].

MSC:

83C40 Gravitational energy and conservation laws; groups of motions
83C57 Black holes
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