Symmetric frames on Lorentzian spaces

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1991
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Coll, Bartolomé
Morales Lladosa, Juan Antonio
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Abstract
Symmetric frames (those whose vectors are metrically indistinguishable) are studied both, from the algebraic and differential points of view. Symmetric frames which, in addition, remain indistinguishable for a given set of concomitants of the metric are analyzed, and the necessary and sufficient conditions for a space‐time to admit them are given. A new version of the cosmological principle then follows. Natural symmetric frames (induced by local charts) are also considered, and the space‐times admitting them are obtained.
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Física matemàtica
Simetria (Física)
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Coll, Bartolomé Morales Lladosa, Juan Antonio 1991 Symmetric frames on Lorentzian spaces Journal of Mathematical Physics 32 9 2450 2455