Characterizations of a Spacetime of Quasi-Constant Sectional Curvature and -Gravity

Uday Chand De, Krishnendu De*, Fusun Ozen Zengin, Sezgin Altay Demirbag

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

3 Citations (Scopus)

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 (Figure presented.) -gravity. As a result, various energy conditions are studied and analyzed our obtained outcomes in terms of a (Figure presented.) -gravity model.

Original languageEnglish
Article number2200201
JournalFortschritte der Physik
Volume71
Issue number6-7
DOIs
Publication statusPublished - Jul 2023

Bibliographical note

Publisher Copyright:
© 2023 Wiley-VCH GmbH.

Keywords

  • Perfect fluids; -gravity
  • Spacetime of quasi-constant sectional curvature

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