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

F. Gholami

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

E-mail Address: fateme.gholami@bonabu.ac.ir

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A. Haji-Badali

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

E-mail Address: haji.badali@bonabu.ac.ir

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, and

F. Darabi

http://orcid.org/0000-0002-7378-1317

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

E-mail Address: f.darabi@azaruniv.edu

Corresponding author.

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https://doi.org/10.1142/S021988781850041XCited by:6 (Source: Crossref)

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.

Keywords:

AMSC: 83F05, 35Q76, 53C25

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