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1971•Journal of physics. A, Proceedings of the Physical Society. GeneralOpen access

Generalized field equations in general relativity

G W Phillips, B. O. J. Tupper

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Abstract

Generalizations of Einstein's field equations in general relativity are derived by considering variational principles in which the components of an ennuple, or tetrad, are the quantities which undergo variation. The conservation law for the field equations is established and the weak field approximations discussed. The equations are solved by the method developed in a previous article (abstr. A32263 of 1970). Many solutions are obtained, all of which are inferior to the Schwarzschild solution.

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Generalizations of Einstein's field equations in general relativity are derived by considering variational principles in which the components of an ennuple, or tetrad, are the quantities which undergo variation. The conservation law for the field equations is established and the weak field approximations discussed. The equations are solved by the method developed in a previous article (abstr. A32263 of 1970). Many solutions are obtained, all of which are inferior to the Schwarzschild solution.

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Available abstract

Generalizations of Einstein's field equations in general relativity are derived by considering variational principles in which the components of an ennuple, or tetrad, are the quantities which undergo variation. The conservation law for the field equations is established and the weak field approximations discussed. The equations are solved by the method developed in a previous article (abstr. A32263 of 1970). Many solutions are obtained, all of which are inferior to the Schwarzschild solution.

Key concepts: Tetrad, General relativity, Theoretical motivation for general relativity, Introduction to the mathematics of general relativity, Two-body problem in general relativity, Einstein field equations, Field equation, Mathematics of general relativity

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