Analysis of an FRW cosmological model

Konstantinos Andriopoulos 1  and Peter Leach
  • 1 Department of Information and Communication Systems Engineering, University of the Aegean, Karlovassi, GR-83200, Samos, Greece
  • 2 School of Mathematical Sciences, University of KwaZulu-Natal, Private Bag X54001, Durban, 4000, Republic of South Africa

Abstract

The Einstein field equations for the Friedmann universe reduce to a system of three first-order equations for the space-like components and a constraint from the temporal component. We analyse the system from the viewpoints of symmetry and singularity analyses. The solutions of particular relevance to Cosmology are highlighted.

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