PSEUDO PROJECTIVE RICCI SYMMETRIC SPACETIMES

The object of the present paper is to prove the non-existence of pseudo projective Ricci symmetric spacetimes $(PW\;RS)_4$ with different types of energy momentum tensor. We also discuss whether a fluid $(PW\;RS)_4$ spacetime with the basic vector field as the velocity vector field of the fluid can...

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Veröffentlicht in:Communications of the Korean Mathematical Society 2018, 33(2), , pp.571-580
Hauptverfasser: De, Uday Chand, Majhi, Pradip, Mallick, Sahanous
Format: Artikel
Sprache:eng
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Zusammenfassung:The object of the present paper is to prove the non-existence of pseudo projective Ricci symmetric spacetimes $(PW\;RS)_4$ with different types of energy momentum tensor. We also discuss whether a fluid $(PW\;RS)_4$ spacetime with the basic vector field as the velocity vector field of the fluid can admit heat flux. Next we consider perfect fluid and dust fluid $(PW\;RS)_4$ spacetimes respectively. Finally we construct an example of a $(PW\;RS)_4$ spacetime.
ISSN:1225-1763
2234-3024
DOI:10.4134/CKMS.c170173