Form Invariance of Raychaudhuri Equation in the Presence of Inflaton‐Type Fields

Abstract

AbstractWe show that the Raychaudhuri equation (RE) remains form invariant for certain solutions of scalar fields whose Lagrangian is non‐canonical and of the form , with and the potential. Solutions exist for both homogeneous and inhomogeneous fields that are like inflatons. Certain recent observations indicate that the cosmos is inhomogeneous and thus their results are in sync with latest observations. So the RE can accommodate primordial inhomogeneities as well as cosmologically relevant scenarios.