6533b7dcfe1ef96bd1271f77

RESEARCH PRODUCT

Symmetric frames on Lorentzian spaces

Juan Antonio MoralesBartolomé Coll

subject

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

description

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.

yearjournalcountryeditionlanguage
1991-09-01Journal of Mathematical Physics
https://doi.org/10.1063/1.529173