Investigation of all Ricci semi-symmetric and all conformally semi-symmetric spacetimes

Details Investigation of all Ricci semi-symmetric and all conformally semi-symmetric spacetimes Investigation of all Ricci semi-symmetric and all conformally semi-symmetric spacetimes

2010-06-29

arxiv.org/abs/1006.5684v2

J.Phys.Conf.Ser.314:012020,2011

Mathematics

Differential Geometry

4 pages, 1 table

Scientific paper

10.1088/1742-6596/314/1/012020

We find all Ricci semi-symmetric as well as all conformally semi-symmetric spacetimes. Neither of these properties implies the other. We verify that only conformally flat spacetimes can be Ricci semi-symmetric without being conformally semi-symmetric and show that only vacuum spacetimes and spacetimes with just a $\Lambda$-term can be Ricci semi-symmetric without being conformally semi-symmetric.

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