Abstract
It is shown that Karmarkar's condition which has been claimed to be a necessary and sufficient condition for the spherically symmetric (s.s.) space-time to be of class 1 ceases to be sufficient in caseR 2323=0. An s.s. line element which satisfies Karmarkar's condition but ceases to be of class 1 is given. This line element describes a conformally flat perfect fluid distribution with zero density.
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Pandey, S.N., Sharma, S.P. Insufficiency of Karmarkar's condition. Gen Relat Gravit 14, 113–115 (1982). https://doi.org/10.1007/BF00756917
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DOI: https://doi.org/10.1007/BF00756917