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- Publisher
- Springer Journals
- Copyright
- Copyright © 2018 by Springer International Publishing AG, part of Springer Nature
- Subject
- Mathematics; Analysis; Mathematical Methods in Physics
- ISSN
- 1664-2368
- eISSN
- 1664-235X
- DOI
- 10.1007/s13324-018-0240-x
- Publisher site
- See Article on Publisher Site
Abstract
In this paper, we investigate pseudo Q-symmetric spacetimes $$(PQS)_{4}$$ ( P Q S ) 4 . At first, we prove that a $$(PQS)_{4}$$ ( P Q S ) 4 spacetime is a quasi-Einstein spacetime. Then we investigate perfect fluid $$(PQS)_{4}$$ ( P Q S ) 4 spacetimes and interesting properties are pointed out. From a result of Mantica and Suh (Int J Geom Methods Mod Phys 10:1350013, 2013) we have shown that $$(PQS)_{4}$$ ( P Q S ) 4 spacetime is the Robertson-Walker spacetime. Further, it is shown that a $$(PQS)_{4}$$ ( P Q S ) 4 spacetime with cyclic parallel Ricci tensor is an Einstein spacetime. Finally, we construct an example of a $$(PQS)_{4}$$ ( P Q S ) 4 spacetime.
Journal
Analysis and Mathematical Physics – Springer Journals
Published: Jun 27, 2018