STATIC PERFECT FLUID SPACE-TIME ON ALMOST KENMOTSU MANIFOLDS

Title

STATIC PERFECT FLUID SPACE-TIME ON ALMOST KENMOTSU MANIFOLDS

Creator

Kumara H.A.; Venkatesha V.; Naik D.M.

Description

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 ?-Einstein. Moreover, if the Reeb vector field ? leaves the scalar curvature invariant, then M is Einstein. Next we consider static perfect fluid space-time on almost Kenmotsu (?, ?)0-manifolds and give some characteristics under certain conditions. 2021 Bulgarian Academy of Sciences. All rights reserved.

Source

Journal of Geometry and Symmetry in Physics, Vol-61, pp. 41-51.

Date

2021-01-01

Publisher

Bulgarska Akademiya na Naukite

Subject

Almost Kenmotsu (??)0-manifold; Einstein manifold; Kenmotsu manifold; Perfect fluid; Static space-time

Coverage

Kumara H.A., Department of Mathematics, Kuvempu University, Shankaraghatta, Karnataka, 577 451, India; Venkatesha V., Department of Mathematics, Kuvempu University, Shankaraghatta, Karnataka, 577 451, India; Naik D.M., Department of Mathematics, CHRIST University, Karnataka, Bengaluru, 560 028, India

Rights

Restricted Access

Relation

ISSN: 13125192

Format

Online

Language

English

Type

Article

Identifier

https://doi.org/10.7546/jgsp-61-2021-41-51

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