Mappings of empty space-times leaving the curvature tensor invariant

Autor:	Estelita da Graça Lopes Rodrigues Vaz, C. D. Collinson
Rok vydání:	1982
Předmět:	Physics Weyl tensor Riemann curvature tensor Pure mathematics Physics and Astronomy (miscellaneous) symbols.namesake Einstein tensor symbols Ricci decomposition Mathematics::Differential Geometry Metric tensor (general relativity) Tensor density Ricci curvature Scalar curvature
Zdroj:	General Relativity and Gravitation. 14:5-15
ISSN:	1572-9532 0001-7701
DOI:	10.1007/bf00756191
Popis:	It is shown that if in some local coordinate system the componentsRijkl of the curvature tensor of an empty space-time are known, then, provided the space-time is not of Petrov typeN with hypersurface orthogonal geodesic rays, the components of the metric tensor are uniquely determined up to a trivial constant scaling factor. The Petrov type-N empty space-times with hypersurface orthogonal geodesic rays are investigated. The most general mappings leaving the curvature tensorRijkl invariant are found for each class of these space-times.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::b64c0e7e566500c19ec9f6085cf80211 https://doi.org/10.1007/bf00756191 Zobrazit plný text záznamu Full text from SpringerLink