Classification of Einstein equations with cosmological constant in warped product space-time

Author:

Gholami F.1,Haji-Badali A.1,Darabi F.2ORCID

Affiliation:

1. Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, Iran

2. Department of Physics, Azarbaijan Shahid Madani University, Tabriz, Iran

Abstract

We classify all warped product space-times in three categories as (i) generalized twisted product structures, (ii) base conformal warped product structures and (iii) generalized static space-times and then we obtain the Einstein equations with the corresponding cosmological constant by which we can determine uniquely the warp functions in these warped product space-times.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Cited by 6 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Statistical Warped Products and Their Generalizations in Holomorphic Statistical Manifolds;Iranian Journal of Science;2024-05-04

2. A new approach on Einstein equation in super spacetime;International Journal of Geometric Methods in Modern Physics;2022-11-25

3. A new way to study on generalized Friedmann–Robertson–Walker spacetime;Indian Journal of Physics;2022-02-23

4. Einstein Poisson warped product space;Classical and Quantum Gravity;2021-01-20

5. On warped product of Hermitian and Kählerian manifolds;International Journal of Geometric Methods in Modern Physics;2021-01-20

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