Abstract
In the first part of the article, the definition of pseudo-symmetric spacetime is given. In the second part, the conditions under which a four-dimensional pseudo-symmetric spacetime has Riemann compatible and Weyl compatible vector fields are obtained, and the spacetime is examined considering the case that this spacetime is a generalized Robertson–Walker spacetime. In the third part of the article, some investigations on four-dimensional pseudo-symmetric spacetimes admitting F(R)-gravity are made.
Original language | English |
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Article number | 17 |
Journal | Letters in Mathematical Physics |
Volume | 112 |
Issue number | 2 |
DOIs | |
Publication status | Published - Apr 2022 |
Bibliographical note
Publisher Copyright:© 2022, The Author(s), under exclusive licence to Springer Nature B.V.
Keywords
- Energy density
- F(R)-gravity
- GRW spacetime
- Isotropic pressure
- Pseudo-symmetric spacetime
- RW spacetime
- Riemann compatible
- Weyl permutable