Perturbations of space-times in general relativity

Details Perturbations of space-times in general relativity Perturbations of space-times in general relativity

Oct 1974

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974rspsa.341...49s&link_type=abstract

Royal Society (London), Proceedings, Series A, vol. 341, no. 1624, Oct. 29, 1974, p. 49-74.

Physics

188

Gravitational Fields, Perturbation Theory, Relativity, Space-Time Functions, Field Theory (Physics), Maxwell Equation, Theoretical Physics, Vacuum

Scientific paper

The present work proposes a general framework in which to discuss perturbations of general space-times. Following Geroch's (1969) treatment of limits of space-times, the present approach is based on the consideration of sequences or one-parameter families of space-times. The null tetrad formalism of Newman & Penrose (1962) is used to investigate what class of space-times a gauge-invariant analysis may be possible. It is found that the only space-times for which sufficiently many gauge-invariant quantities exist such that a general first order perturbation is completely determined by them are the vacuum space-times whose gravitational field (Weyl tensor) is algebraically special. The maximal subclass of space-times of special type for which the decoupled perturbation equations can be solved by separation of variables is found.

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