Investigation of all Ricci semi-symmetric and all conformally semi-symmetric spacetimes
Abstract
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 -term can be Ricci semi-symmetric without being conformally semi-symmetric.
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