Search results for "Cosmological principle"

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Symmetric frames on Lorentzian spaces

1991

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.

Pure mathematicsCosmological principleFísica matemàticaSpace timeMathematical analysisStatistical and Nonlinear PhysicsMetric (mathematics)Frame (artificial intelligence)Simetria (Física)Symmetry (geometry)Algebraic numberMathematical PhysicsDifferential (mathematics)Ricci curvatureMathematicsJournal of Mathematical Physics
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