Selfsimilar spatially homogeneous cosmologies: orthogonal perfect fluid and vacuum solutions
Abstract
It is known that the asymptotic states of a large class of spatially homogeneous cosmological models, near the big bang and at late times, are described by exact selfsimilar solutions. With this as a motivation, all spatially homogeneous solutions of the Einstein field equations are found which have an orthogonal perfect fluid as source, or are vacuum, and admit a similarity group H4 which acts transitively on spacetime.
 Publication:

Classical and Quantum Gravity
 Pub Date:
 November 1986
 DOI:
 10.1088/02649381/3/6/011
 Bibcode:
 1986CQGra...3.1105H
 Keywords:

 Asymptotic Properties;
 Big Bang Cosmology;
 Einstein Equations;
 Orthogonal Functions;
 Vacuum;
 SpaceTime Functions;
 Astrophysics