Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Static perfect fluid space-Time and paracontact metric geometry Subject The topic of the resource (?, ?)-paracontact metric manifold; Einstein manifold; K-paracontact manifold; Perfect fluid; Static space-Time Description An account of the resource 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 ? &gt;-1 is a spatial factor of static perfect space-Time, then for n = 1, M2n+1 is flat, and for n &gt; 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. Creator An entity primarily responsible for making the resource Prakasha D.G.; Amruthalakshmi M.R.; Veeresha P. Source A related resource from which the described resource is derived International Journal of Geometric Methods in Modern Physics, Vol-19, No. 4 Publisher An entity responsible for making the resource available World Scientific Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1142/S0219887822500529" target="_blank" rel="noreferrer noopener">https://doi.org/10.1142/S0219887822500529</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124045271&amp;doi=10.1142%2FS0219887822500529&amp;partnerID=40&amp;md5=cf8a838e003c0e8ec4dafa8683edfa1e" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85124045271&amp;doi=10.1142%2fS0219887822500529&amp;partnerID=40&amp;md5=cf8a838e003c0e8ec4dafa8683edfa1e</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 2198878 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 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