CONFORMAL EINSTEIN SOLITONS ON A PERFECT FLUID SPACETIME
DOI:
https://doi.org/10.5269/bspm.68789Abstract
The objective of this research is to investigate the geometrical composition
of a perfect fluid spacetime with a torse-forming vector field in connection
with Conformal Einstein Soliton and Conformal -Einstein Soliton. Also,
We have studied the conditions for a Conformal Einstein Soliton to be shrinking
or expanding or steady. Further, we investigated the perfect fluid spacetime
that satisfies (; )Wp Z = 0, (; )Mp Z = 0, (; )Z Wp = 0 and
(; )Z Mp = 0.
References
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[4] Soumendu Roy, Santu Dey, Arindam Bhattacharyya, (2005), Conformal Einstein soliton within
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340-345.
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[9] Bhagavat Prasad, (2002), On Pseudo projective curvature tensor on Riemannian manifold,
Bull.cal.math.soc.,94(3),163-166.
[10] Y.B.Maralabhavi,G.S.Shivaprasanna,On Pseudo-projective curvature tensor in LP-Sasakian
mani- folds, International mathematical forum, 7(2012),1121-1128.
[11] Soumendu Roy, Santu Dey, Arindam Bhattacharyya (2021), Geometrical structure in a perfect
spacetime with conformal Ricci-Yamabe soliton, arXiv:2105.11142vl [math.DG].
[12] Prabhavati G Angadi, G. S. Shivaprasanna and G. Somashekhara. - Ricci solitons in - para
kenmotsu manifolds, Journal of Physics: Conference Series, 1597 (2020) 012032.
[13] Y.B. Maralabhavi and G.S.Shivaprasanna, Second order parallel tensors on generalized
Sasakian space forms, International Journal of Mathematical and Engineering and Science 1.
11-21,2012.
Yokohama Math. J. 19(2), 97–103.
[2] G.Catino, L. Mazzieri, (2016), Gradient Einstein solitons, Nonlinear Anal. Theor., 132, 66–94.
[3] A.M.Blaga, (2017), On warped product gradient -Ricci solitons, arXiv:1705.04092.
[4] Soumendu Roy, Santu Dey, Arindam Bhattacharyya, (2005), Conformal Einstein soliton within
the framework of para-Kahler manifold, arXiv:05616v1 [math.DG].
[5] C.A.Mantica, Y.J.Suh, (2012),Recurrent Z forms on Riemannian and Kaehler manifolds,
Int.J.Geom. Methods Mod.Phys. 9(07), 1250059.
[6] O.Neill, (1983), Semi-Riemannian Geometry with Applications to Relativity, Pure and Applied
Math. 103, Academic Press, New York.
[7] K.Yano, (1944), On torse forming direction in a Riemannian space, Proc.Imp.Acad.Tokyo 20,
340-345.
[8] A.M.Blaga, (2017), Solitons and geometrical structures in a perfect fluid spacetime,
arXiv:1705.04094 [math.DG].
[9] Bhagavat Prasad, (2002), On Pseudo projective curvature tensor on Riemannian manifold,
Bull.cal.math.soc.,94(3),163-166.
[10] Y.B.Maralabhavi,G.S.Shivaprasanna,On Pseudo-projective curvature tensor in LP-Sasakian
mani- folds, International mathematical forum, 7(2012),1121-1128.
[11] Soumendu Roy, Santu Dey, Arindam Bhattacharyya (2021), Geometrical structure in a perfect
spacetime with conformal Ricci-Yamabe soliton, arXiv:2105.11142vl [math.DG].
[12] Prabhavati G Angadi, G. S. Shivaprasanna and G. Somashekhara. - Ricci solitons in - para
kenmotsu manifolds, Journal of Physics: Conference Series, 1597 (2020) 012032.
[13] Y.B. Maralabhavi and G.S.Shivaprasanna, Second order parallel tensors on generalized
Sasakian space forms, International Journal of Mathematical and Engineering and Science 1.
11-21,2012.
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Published
2025-01-27
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How to Cite
G S, S. (2025). CONFORMAL EINSTEIN SOLITONS ON A PERFECT FLUID SPACETIME. Boletim Da Sociedade Paranaense De Matemática, 43, 1-10. https://doi.org/10.5269/bspm.68789
