Static Perfect Fluid Space-Time on Almost Kenmotsu Manifolds
2021 ◽
Vol 61
◽
pp. 41-51
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In this work, we intend to investigate the characteristics of static perfect fluid space-time metrics on almost Kenmotsu manifolds. At first we prove that if a Kenmotsu manifold $M$ is the spatial factor of static perfect fluid space-time then it is $\eta$-Einstein. Moreover, if the Reeb vector field $\xi$ leaves the scalar curvature invariant, then $M$ is Einstein. Next we consider static perfect fluid space-time on almost Kenmotsu $(\kappa,\mu)'$-manifolds and give some characteristics under certain conditions.
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2019 ◽
Vol 11
(1)
◽
pp. 59-69
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2018 ◽
Vol 33
(2)
◽
pp. 255
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