Non-singular inhomogeneous stiff fluid cosmology

TL;DR

This paper presents a new non-singular, inhomogeneous stiff fluid solution to Einstein's equations with cylindrical symmetry, featuring regular curvature invariants and non-separable metric components in comoving coordinates.

Contribution

It introduces a novel exact solution to Einstein's equations that is non-singular and inhomogeneous, expanding the set of known solutions with these properties.

Findings

The solution is non-singular with regular curvature invariants.

It describes an inhomogeneous stiff fluid spacetime with cylindrical symmetry.

The metric is non-separable in comoving coordinates.

Abstract

In this talk we show a stiff fluid solution of the Einstein equations for a cylindrically symmetric spacetime. The main features of this metric are that it is non-separable in comoving coordinates for the congruence of the worldlineS of the fluid and that it yields regular curvature invariants.