Abstract
It is established, within a weak-field approximation, that a spherically symmetric solution of Simple Supergravity (with the appropriate conditions on the orbits of the symmetry generators) admits necessarily the additional symmetry of translation in time, thus generalising the Birkhoff theorem of General Relativity.
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Vandyck, M.A. The problem of space-time symmetries in the theory of supergravity. Part V: Weak-field Birkhoff theorem in simple supergravity. Gen Relat Gravit 25, 15–24 (1993). https://doi.org/10.1007/BF00756925
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DOI: https://doi.org/10.1007/BF00756925