Series expansions and sudden singularities

TL;DR

This paper develops a method using generalized series expansions to construct solutions to the Friedmann equations that exhibit sudden singularities, providing a more general understanding of such cosmological models.

Contribution

It introduces a novel series expansion approach to model sudden singularities in cosmology, allowing for solutions with two free parameters.

Findings

Successfully constructed solutions with sudden singularities using series expansions.

The solutions include two free constants, indicating generality.

Provides a framework for analyzing cosmological models with abrupt singularities.

Abstract

We construct solutions of the Friedmann equations near a sudden singularity using generalized series expansions for the scale factor, the density, and the pressure of the fluid content. In this way, we are able to arrive at a solution with a sudden singularity containing two free constants, as required for a general solution of the cosmological equations.