Self-similar spatially homogeneous cosmologies - Orthogonal perfect fluid and vacuum solutions

Details Self-similar spatially homogeneous cosmologies - Orthogonal perfect fluid and vacuum solutions Self-similar spatially homogeneous cosmologies - Orthogonal perfect fluid and vacuum solutions

Nov 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986cqgra...3.1105h&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 3, Nov. 1, 1986, p. 1105-1124.

Mathematics

Logic

63

Asymptotic Properties, Big Bang Cosmology, Einstein Equations, Orthogonal Functions, Vacuum, Space-Time Functions

Scientific paper

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 self-similar 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.

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