An extension of cosmological dynamics with York time

Abstract

It has been suggested that the York parameter $T$ (effectively the scalar extrinsic curvature of a spatial hypersurface) may play the role of a fundamental time parameter. In a flat, forever expanding cosmology the York parameter remains always negative, taking values $T=-\infty$ at the big bang and approaching some finite non-positive value as $t\to \infty$, $t$ being the usual cosmological time coordinate. Based on previous results concerning a simple, spatially flat cosmological model with a scalar field, we provide a temporal extension of this model to include `times' $T>0$, an epoch not covered by the cosmological time coordinate $t$, and discuss the dynamics of this `other side' and its significance. We argue that the extension is necessary if a consistent quantisation scheme is to exist. Furthermore, we investigate which types of potentials lead to smooth transitions, paying particular attention to currently favoured inflaton potentials.

Major revisions and extensions since v.1, 18 pages, 3 figures, 1 table

References in corpus (5)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Einstein gravity as a 3D conformally invariant theory
• On Galilean and Lorentz invariance in pilot-wave dynamics
• Negative potentials and collapsing universes II
• Classical and quantum cosmology with York time

Cited by in corpus (1)

• Cosmological history in York time: inflation and perturbations