New Non-Diagonal Singularity-Free Cosmological Perfect-Fluid Solution

TL;DR

This paper introduces a new, simple, non-diagonal inhomogeneous perfect-fluid cosmological solution with a barotropic equation of state, which is free of curvature singularities and satisfies global hyperbolicity.

Contribution

It presents a novel exact inhomogeneous cosmological solution with specific properties, expanding the set of known singularity-free models.

Findings

Solution is non-diagonal and inhomogeneous

No curvature singularity exists in the solution

Solution satisfies global hyperbolicity

Abstract

We present a new non-diagonal G2 inhomogeneous perfect-fluid solution with barotropic equation of state p=rho and positive density everywhere. It satisfies the global hyperbolicity condition and has no curvature singularity anywhere. This solution is very simple in form and has two arbitrary constants.