Covariant perturbations of anisotropic cosmological models

Details Covariant perturbations of anisotropic cosmological models Covariant perturbations of anisotropic cosmological models

Oct 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..48.3562d&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 48, Issue 8, 15 October 1993, pp.3562-3576

Physics

19

Scientific paper

In this paper I use the covariant approach to study the evolution of linear perturbations in a Bianchi type-I cosmology. It is found that the evolution of density perturbations is described by a fourth-order system of differential equations as in the treatment of Perko, Matzner, and Shepley for the case of a pressureless perfect fluid and I verify that these equations are consistent using the set of linear constraint equations. I then show that when the shear is axially symmetric this system reduces to one second-order differential equation for the density gradient. Approximate solutions are found for the case of dust, which are in agreement with earlier studies. I also consider a recently developed dynamic systems approach to discuss the qualitative behavior of the solutions and the stability of Bianchi type-I models with respect to linear inhomogeneous perturbations.

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