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The object of the present paper is to prove the non-existence of pseudo projective Ricci symmetric spacetimes $(PWRS)_{4}$ with different types of energy momentum tensor. We also discuss whether a fluid $(PWRS)_{4}$ 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 $(PWRS)_{4}$ spacetimes respectively. Finally we construct an example of a $(PWRS)_{4}$ spacetime.
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참고문헌 (22)
참고문헌 신청
Z. Ahsan / 2009 / Concircular curvature tensor and fluid spacetimes / Internat. J. Theoret. Phys. 48(11):3202~3212
J. K. Beem / 1981 / Global Lorentzian geometry, Monographs and Textbooks in Pure and Applied Math., 67 / Marcel Dekker, Inc.
M. C. Chaki / 1996 / Space-times with covariant-constant energy-momentum tensor / Internat. J. Theoret. Phys. 35(5):1027~1032
M. C. Chaki / 1994 / On pseudo-projective Ricci symmetric manifolds / Bulgar. J. Phys. 21(1-2):1~7
C. J. S. Clarke / 1985 / Singularities: global and local aspects, in Topological properties and global structure of space-time (Erice, 1985) / NATO Adv. Sci. Inst. Ser. B Phys. 138:61~71
J. K. Beem / 1981 / Global Lorentzian geometry, Monographs and Textbooks in Pure and Applied Math., 67 / Marcel Dekker, Inc.
M. C. Chaki / 1996 / Space-times with covariant-constant energy-momentum tensor / Internat. J. Theoret. Phys. 35(5):1027~1032
M. C. Chaki / 1994 / On pseudo-projective Ricci symmetric manifolds / Bulgar. J. Phys. 21(1-2):1~7
C. J. S. Clarke / 1985 / Singularities: global and local aspects, in Topological properties and global structure of space-time (Erice, 1985) / NATO Adv. Sci. Inst. Ser. B Phys. 138:61~71
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