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Intrinsic symmetries in general relativity

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Abstract

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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This essay received an honorable mention (1978) from the Gravity Research Foundation. (Ed.)

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Collins, C.B. Intrinsic symmetries in general relativity. Gen Relat Gravit 10, 925–929 (1979). https://doi.org/10.1007/BF00756756

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