Remarks on a solvable cosmological model

TL;DR

This paper presents an exact analytical solution to Einstein's equations with a cosmological constant in a flat universe, offering insights into cosmic acceleration and inflationary models, supported by numerical analysis.

Contribution

It introduces a new exact solution to Einstein's equations that models an isotropic universe with implications for cosmic acceleration and inflation.

Findings

The solution models cosmic acceleration consistent with observations.

Numerical investigations reveal specific properties of the solution.

Implications for inflationary universe theories are discussed.

Abstract

We present an exact analytical solution of the Einstein equations with cosmological constant in a spatially flat Robertson-Walker metric. This is interpreted as an isotropic Lemaitre-type version of the cosmological Friedmann model. Implications in the recent discovered cosmic acceleration of the universe and in the theory of an inflationary model of the universe are in view. Some properties of this solution are pointed out as a result of numerical investigations of the model.