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

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

Fortschritte der Physik, cilt.71, sa.6-7, 2023 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 71 Sayı: 6-7
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1002/prop.202200201
  • Dergi Adı: Fortschritte der Physik
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, INSPEC, zbMATH
  • Anahtar Kelimeler: Spacetime of quasi-constant sectional curvature, Perfect fluids, f(R)-gravity
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.