Characterizations of a Spacetime of Quasi-Constant Sectional Curvature and F(R)-Gravity

De U. C., De K., Zengin F., Demirbag S. A.

Fortschritte der Physik, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Publication Date: 2023
  • Doi Number: 10.1002/prop.202200201
  • Journal Name: Fortschritte der Physik
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, INSPEC, zbMATH
  • Keywords: Spacetime of quasi-constant sectional curvature, Perfect fluids, f(R)-gravity
  • Istanbul Technical University Affiliated: Yes

Abstract

The main aim of this article is to investigate a spacetime of quasi-constant sectional curvature. At first, the existence of such a spacetime is established by several examples. We have shown that a spacetime of quasi-constant sectional curvature agrees with the present state of the universe and it represents a Robertson Walker spacetime. Moreover, if the spacetime is Ricci semi-symmetric or Ricci symmetric, then either the spacetime represents a spacetime of constant sectional curvature, or the spacetime represents phantom era. Also, we prove that a Ricci symmetric spacetime of quasi-constant sectional curvature represents a static spacetime and the spacetime under consideration is of Petrov type I, D or O. Finally, we concentrate on a quasi-constant sectional curvature spacetime solution in (Formula presented.) -gravity. As a result, various energy conditions are studied and analyzed our obtained outcomes in terms of a (Formula presented.) -gravity model.