Relativistic spacetimes admitting almost Schouten solitons
Uday Chand De, Arpan Sardar, Fatemah Mofarreh
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 [Formula: see text] or [Formula: see text].
Topics & Concepts
PhysicsSpacetimeHomothetic transformationMathematical physicsVector fieldKilling vector fieldConformal mapGeneral relativitySolitonPerfect fluidField (mathematics)Classical mechanicsQuantum mechanicsGeometryNonlinear systemMathematicsPure mathematicsMechanicsGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchCosmology and Gravitation Theories