Turbulence in cosmology. IV - Asymptotic influence of long-wave disturbances on the expansion of a homogeneous and, on average, isotropic universe close to the cosmological singularity

Details Turbulence in cosmology. IV - Asymptotic influence of long-wave disturbances on the expansion of a homogeneous and, on average, isotropic universe close to the cosmological singularity Turbulence in cosmology. IV - Asymptotic influence of long-wave disturbances on the expansion of a homogeneous and, on average, isotropic universe close to the cosmological singularity

Feb 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980ap%26ss..67..261m&link_type=abstract

Astrophysics and Space Science, vol. 67, no. 2, Feb. 1980, p. 261-272.

Mathematics

3

Cosmology, Isotropic Media, Long Wave Radiation, Singularity (Mathematics), Turbulence, Universe, Average, Expansion, Inhomogeneity, Perturbation Theory, Scalars, Tensors, Vectors (Mathematics)

Scientific paper

In the present paper, the influence of short-wave turbulence on the manner of expansion of a homogeneous isotropic universe is studied for a complete spectrum of wavelengths of scalar, tensor and vector perturbations. As the time approaches zero, all waves become long (greater than the horizon); therefore, a knowledge of their influence on the averaged metric is required. It is shown that the long-wave modes of scalar and tensor perturbations which remain finite as the time approaches zero deflect the metric for a homogeneous and, on average, isotropic universe from the Friedmannian, giving it a form coinciding with the average quasi-isotropic solution of Lifshitz and Khalatnikov (1963). As the time approaches zero their contribution to the solution tends to zero. What remains to be determined is the contribution of those modes of scalar, tensor and vector perturbations which diverge as the time approaches zero. At time equal to zero the proposed solution for such modes becomes inapplicable. The behaviour of the metric of a homogeneous and, on average, isotropic universe under the influence of all waves and all modes of perturbation is shown.

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