A generalized Heckmann-Schucking cosmological solution in the presence of a negative cosmological constant

TL;DR

This paper presents a new exact solution to Einstein's equations for a Bianchi-I universe with dust, stiff matter, and a negative cosmological constant, describing a universe with finite lifetime and Kasner singularities.

Contribution

It generalizes the Heckmann-Schucking solution to include a negative cosmological constant in a Bianchi-I universe.

Findings

Describes a universe existing during a finite period of cosmic time.

Features Kasner type cosmological singularities at beginning and end.

Provides an exact solution to Einstein equations with specified matter content.

Abstract

An exact solution of the Einstein equations for a Bianchi-I universe in the presence of dust, stiff matter and a negative cosmological constant, generalising the well-known Heckmann-Schucking solution is presented. This solution describes a universe existing during a finite period of cosmic time, where the beginning and the end of its evolution are characterized by the presence of Kasner type cosmological singularities.