Abstract
This paper invokes a new mechanism for reducing a coupled system of fields
(including Einstein's equations without a cosmological constant) to equations
that possess solutions exhibiting characteristics of immediate relevance to
current observational astronomy. Our approach is formulated as a classical
Einstein-vector-scalar-Maxwell-fluid field theory on a spacetime with
three-sphere spatial sections. Analytic cosmological solutions are found using
local charts familiar from standard LFRW cosmological models. These solutions
can be used to describe different types of evolution for the metric scale
factor, the Hubble, jerk and de-acceleration functions, the scalar spacetime
curvature and the Kretschmann invariant. The cosmological sector of the theory
accommodates a particular single big-bang scenario followed by an eternal
exponential acceleration of the scale factor. Such a solution does not require
an externally prescribed fluid equation of state and leads to a number of new
predictions including a current value of the "jerk" parameter, "Hopfian-like"
source-free Maxwell field configurations with magnetic helicity and
distributional "bi-polar" solutions exhibiting a new charge conjugation
symmetry. An approximate scheme for field perturbations about this particular
cosmology is explored and its consequences for a thermalisation process and a
thermal history are derived, leading to a prediction of the time interval
between the big-bang and the decoupling era. Finally it is shown that field
couplings exist where both vector and scalar localised linearised perturbations
exhibit dispersive wave-packet behaviours. The scalar perturbation may also
give rise to Yukawa solutions associated with a massive Klein-Gordon particle.
It is argued that the vector and scalar fields may offer candidates for
"dark-energy" and "dark-matter" respectively.