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arXiv · 1705.04094

Solitons and geometrical structures in a perfect fluid spacetime

Adara M. Blaga
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Abstract

Geometrical aspects of a perfect fluid spacetime are described in terms of different curvature tensors and $\eta$-Ricci and $\eta$-Einstein solitons in a perfect fluid spacetime are determined. Conditions for the Ricci soliton to be steady, expanding or shrinking are also given. In a particular case when the potential vector field $\xi$ of the soliton is of gradient type, $\xi:=grad(f)$, we derive a Poisson equation from the soliton equation.

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Adara M. Blaga. 2017-05-11. Solitons and geometrical structures in a perfect fluid spacetime. https://doi.org/10.1216/rmj.2020.50.41

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