Static perfect fluid space-Time and paracontact metric geometry
- Title
- Static perfect fluid space-Time and paracontact metric geometry
- Creator
- Prakasha D.G.; Amruthalakshmi M.R.; Veeresha P.
- Description
- The main purpose of this paper is to study and explore some characteristics of static perfect fluid space-Time on paracontact metric manifolds. First, we show that if a K-paracontact manifold M2n+1 is the spatial factor of a static perfect fluid space-Time, then M2n+1 is of constant scalar curvature-2n(2n + 1) and squared norm of the Ricci operator is given by 4n2(2n + 1). Next, we prove that if a (?,?)-paracontact metric manifold M2n+1 with ? >-1 is a spatial factor of static perfect space-Time, then for n = 1, M2n+1 is flat, and for n > 1, M2n+1 is locally isometric to the product of a flat (n + 1)-dimensional manifold and an n-dimensional manifold of constant negative curvature-4. Further, we prove that if a paracontact metric 3-manifold M3 with Q? = ?Q is a spatial factor of static perfect space-Time, then M3 is an Einstein manifold. Finally, a suitable example has been constructed to show the existence of static perfect fluid space-Time on paracontact metric manifold. 2022 World Scientific Publishing Company.
- Source
- International Journal of Geometric Methods in Modern Physics, Vol-19, No. 4
- Date
- 2022-01-01
- Publisher
- World Scientific
- Subject
- (?, ?)-paracontact metric manifold; Einstein manifold; K-paracontact manifold; Perfect fluid; Static space-Time
- Coverage
- Prakasha D.G., Department of Studies in Mathematics, Davangere University, Karnataka, 577 007, India; Amruthalakshmi M.R., Department of Studies in Mathematics, Davangere University, Karnataka, 577 007, India; Veeresha P., Department of Mathematics, CHRIST (Deemed to Be University), Karnataka, 560029, India
- Rights
- Restricted Access
- Relation
- ISSN: 2198878
- Format
- Online
- Language
- English
- Type
- Article
Collection
Citation
Prakasha D.G.; Amruthalakshmi M.R.; Veeresha P., “Static perfect fluid space-Time and paracontact metric geometry,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/15098.