Classical big-bounce cosmology: dynamical analysis of a homogeneous and irrotational Weyssenhoff fluid

Details Classical big-bounce cosmology: dynamical analysis of a homogeneous and irrotational Weyssenhoff fluid Classical big-bounce cosmology: dynamical analysis of a homogeneous and irrotational Weyssenhoff fluid

2008-07-16

arxiv.org/abs/0807.2523v2

Class. Quantum Grav. 25 (2008) 245016 (35pp)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, 18 figures

Scientific paper

10.1088/0264-9381/25/24/245016

A dynamical analysis of an effective homogeneous and irrotational Weyssenhoff fluid in general relativity is performed using the 1+3 covariant approach that enables the dynamics of the fluid to be determined without assuming any particular form for the space-time metric. The spin contributions to the field equations produce a bounce that averts an initial singularity, provided that the spin density exceeds the rate of shear. At later times, when the spin contribution can be neglected, a Weyssenhoff fluid reduces to a standard cosmological fluid in general relativity. Numerical solutions for the time evolution of the generalised scale factor in spatially-curved models are presented, some of which exhibit eternal oscillatory behaviour without any singularities. In spatially-flat models, analytical solutions for particular values of the equation-of-state parameter are derived. Although the scale factor of a Weyssenhoff fluid generically has a positive temporal curvature near a bounce, it requires unreasonable fine tuning of the equation-of-state parameter to produce a sufficiently extended period of inflation to fit the current observational data.

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