Spacetimes characterized by their scalar curvature invariants
نویسندگان
چکیده
منابع مشابه
Spacetimes characterized by their scalar curvature invariants
In this paper we determine the class of four-dimensional Lorentzian manifolds that can be completely characterized by the scalar polynomial curvature invariants constructed from the Riemann tensor and its covariant derivatives. We introduce the notion of an I-non-degenerate spacetime metric, which implies that the spacetime metric is locally determined by its curvature invariants. By determinin...
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Let us define a curvature invariant of the order k as a scalar polynomial constructed from gαβ, the Riemann tensor Rαβγδ, and covariant derivatives of the Riemann tensor up to the order k. According to this definition, the Ricci curvature scalar R or the Kretschmann curvature scalar RαβγδR αβγδ are curvature invariants of the order zero and Rαβγδ;εR αβγδ;ε is a curvature invariant of the order ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2009
ISSN: 0264-9381,1361-6382
DOI: 10.1088/0264-9381/26/2/025013