Gravitational Instability of Yang-Mills Cosmologies

Details Gravitational Instability of Yang-Mills Cosmologies Gravitational Instability of Yang-Mills Cosmologies

2003-10-06

arxiv.org/abs/gr-qc/0310032v1

Class.Quant.Grav.20:4753-4774,2003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

30 pages, 15 Figures

Scientific paper

10.1088/0264-9381/20/22/003

The gravitational instability of Yang-Mills cosmologies is numerically studied with the hamiltonian formulation of the spherically symmetric Einstein-Yang-Mills equations with SU(2) gauge group. On the short term, the expansion dilutes the energy densities of the Yang-Mills fluctuations due to their conformal invariance. In this early regime, the gauge potentials appear oscillating quietly in an interaction potential quite similar to the one of the homogeneous case. However, on the long term, the expansion finally becomes significantly inhomogeneous and no more mimics a conformal transformation of the metric. Thereafter, the Yang-Mills fluctuations enter a complex non-linear regime, accompanied by diffusion, while their associated energy contrasts grow.

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