Sequential Warped Products and Their Applications

Sinem GÜLER

doi:https://doi.org/10.36890/iejg.937419

Article Details

Sequential Warped Products and Their Applications

Authors:

Sinem GÜLER

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2021 Vol.14 Issue 2, pp.277-291

Document Type:

Article

Publication Date:

10/2021

Document Language:

English

Document ID (Org No.):

2000471528

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.937419

Abstract:

 

In this paper, we study the sequential warped product manifolds, which are the natural generalizations of singly warped products. Many spacetime models that characterize the universe and the solutions of Einstein's field equations are known to have this new structure. For this reason, first, we investigate the geometry of sequential warped product manifold under some conditions of concircular curvature tensor. We also study the conformal and gradient almost Ricci solitons on the sequential warped product. These conditions allow us to obtain some interesting expressions for the Riemann curvature and the Ricci tensors of its base and fiber from the geometrical and the physical point of view. Then, we give two important applications of this concept in the Lorentzian settings, which are sequential generalized Robertson-Walker spacetimes and sequential standard static spacetimes and obtain the form of the warping functions. Also, by considering generalized quasi Einsteinian conditions on these spacetimes, we find some specific formulas for the Ricci tensors of the bases and fibers. Finally, we terminate this work with some examples for this structure.

Article Details

Sequential Warped Products and Their Applications

Authors: Sinem GÜLER

Publisher: Kazım İLARSLAN

Main Topics: Mathematics

Journal: International Electronic Journal of Geometry 2021 Vol.14 Issue 2, pp.277-291

Document Type: Article

Publication Date: 10/2021

Document Language: English

Document ID (Org No.): 2000471528

Frequency: Bi-Annual

eISSN: 1307-5624

DOI: https://doi.org/10.36890/iejg.937419

Issues

Authors:

Sinem GÜLER

Publisher:

Kazım İLARSLAN

Main Topics:

Mathematics

Journal:

International Electronic Journal of Geometry 2021 Vol.14 Issue 2, pp.277-291

Document Type:

Article

Publication Date:

10/2021

Document Language:

English

Document ID (Org No.):

2000471528

Frequency:

Bi-Annual

eISSN:

1307-5624

DOI:

https://doi.org/10.36890/iejg.937419