Affiliation:
1. ISTANBUL SABAHATTIN ZAIM UNIVERSITY
2. University of Calcutta
3. BİLKENT ÜNİVERSİTESİ
Abstract
In this paper, first we study the harmonicity of the functions and forms on the twisted products, and then we determine its sectional curvature. We explore some characteristics of static perfect fluid and static vacuum spacetimes on twisted product manifolds by proving the existence and obstructions on Ricci curvature. Finally, we study the problem of the existence static perfect fluid spacetime associated with the twisted generalized Robertson-Walker and standard static spacetime metrics.
Publisher
International Electronic Journal of Geometry, Person (Kazim ILARSLAN)
Subject
Applied Mathematics,Geometry and Topology,Mathematical Physics
Reference22 articles.
1. [1] Allison, D. E., Ünal, B.: Geodesic structure of standard static spacetimes. J. Geom. Phys. 46, 193–200 (2003).
2. [2] Beem, J. K., Ehrlich, P. E., Easley, K. L.: Global Lorentzian Geometry. Marcel Dekker. Second Edition. NewYork (1996).
3. [3] Bishop, R. L., O’Neill, B.: Manifolds of negative curvature, Trans. Amer. Math. Soc. 145 (1969) 1–49.
4. [4] Blaga, A. M.: η-Ricci solitons on Lorentzian para-Sasakian manifolds. Filomat. 30 (2) 489–496 (2016).
5. [5] Blaga, A. M., Özgür, C.: Almost η-Ricci and almost η-Yamabe solitons with torse-forming potential vector field. Quaestiones Mathematicae. 1–21
(2020).