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- Title
Relativistic spacetimes admitting almost Schouten solitons.
- Authors
De, Uday Chand; Sardar, Arpan; Mofarreh, Fatemah
- Abstract
In this paper, we investigate almost Schouten solitons and almost gradient Schouten solitons in spacetimes of general relativity. At first, it is proven that if a generalized Robertson–Walker spacetime permits an almost Schouten soliton, then it becomes a perfect fluid spacetime as well as the spacetime represents a dark matter era. Besides this, we investigate almost gradient Schouten solitons in generalized Robertson–Walker spacetimes. Moreover, a spacetime obeying almost Schouten solitons whose potential vector field is a non-homothetic conformal vector field is of Petrov type O or N.
- Subjects
SOLITONS; VECTOR fields; GENERAL relativity (Physics); DARK matter; SPACETIME
- Publication
International Journal of Geometric Methods in Modern Physics, 2023, Vol 20, Issue 9, p1
- ISSN
0219-8878
- Publication type
Article
- DOI
10.1142/S0219887823501475