Intrinsic symmetries in general relativity

Mathematics – Logic

Scientific paper

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Scientific paper

A discussion is presented which indicates that a stagnation point is being reached in the standard applications of symmetries (especially isometries) in general relativity. In order to continue the advance of this area of research, an attractive alternative is suggested. This alternative involves the use of what are termed “intrinsic symmetries.” With this technique, emphasis is placed on underlying symmetries ofsubmanifolds. One particular set of symmetries gives rise to an invariant formulation of the Szekeres inhomogeneous cosmological models, and suggests quite natural generalizations.

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