Non-conformal fluctuations in radiation dominated anisotropic cosmology

Abstract

Using simple path integral, Feynman propagator method and the relation between conformal time η and scale factor Ƭ, we investigate the non-conformal quantum fluctuations (of expansion and shear) and axisymmetric singularity case in radiation dominated anisotropic cosmology. We show that near the classical singularity the quantum fluctuations tend to diverge.