On spacetimes with constant scalar invariants
作者： Sigbjørn Hervik , Alan Coley , Nicos Pelavas
DOI: 10.1088/0264-9381/23/9/018
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摘要: We study Lorentzian spacetimes for which all scalar invariants constructed from the Riemann tensor and its covariant derivatives are constant (CSI spacetimes). obtain a number of general results in arbitrary dimensions. construct warped product CSI higher-dimensional Kundt spacetimes. show how these can be locally homogeneous spaces VSI The suggest conjectures. In particular, it is plausible that not Weyl type II, III, N or O, with any boost weight zero components being constant. then consider four-dimensional more detail. there severe constraints on spacetimes, we argue they either spacetime necessarily belongs to class constructed. lend support conjectures higher
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