Characterizations of generalized Robertson-Walker spacetimes concerning gradient solitons
Krishnendu De, Mohammad Nazrul Islam Khan, Uday Chand De
Abstract
In this article, we examine gradient type Ricci solitons and \( m , τ \) -quasi Einstein solitons in generalized Robertson-Walker ( GRW ) spacetimes. Besides, we demonstrate that in this scenario the GRW spacetime presents the Robertson-Walker ( RW ) spacetime and the perfect fluid ( PF ) spacetime presents the phantom era. Consequently, we show that if a GRW spacetime permits a gradient τ -Einstein solitons, then it also represents a PF spacetime under certain condition.
Topics & Concepts
SpacetimeMathematical physicsPhysicsEinsteinStationary spacetimeSpherically symmetric spacetimeClassical mechanicsQuantum field theory in curved spacetimeQuantum mechanicsQuantum gravityQuantumGeometric Analysis and Curvature FlowsAdvanced Differential Geometry ResearchGeometry and complex manifolds