On generalized quasi Einstein standard static spacetimes

Guler S., Altay Demirbağ S.

JOURNAL OF GEOMETRY AND PHYSICS, vol.170, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 170
  • Publication Date: 2021
  • Doi Number: 10.1016/j.geomphys.2021.104366
  • Journal Name: JOURNAL OF GEOMETRY AND PHYSICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, INSPEC, MathSciNet, zbMATH
  • Keywords: Standard static spacetime, Bakry-Emery Ricci tensor, m-generalized quasi Einstein manifold, m-quasi Einstein manifold, Gradient Ricci soliton, GRADIENT
  • Istanbul Technical University Affiliated: Yes

Abstract

In the present paper, first, we characterize the standard static spacetimes satisfying certain Ricci-Hessian class type equations, such as generalized quasi Einstein manifolds, m-quasi Einstein manifolds, (m, rho)-quasi Einstein manifolds, and gradient Ricci solitons. Then, we obtain some necessary and sufficient conditions about the existence of certain vector fields on the standard static spacetime. We also characterize the m-quasi Einstein standard static spacetimes admitting concurrent or parallel vector fields and get several physical properties of such spacetimes. At last, we construct non-trivial examples of m-quasi Einstein spacetimes verifying our results. (C) 2021 Elsevier B.V. All rights reserved.