The dynamics of cosmological scenarios inspired by quantum gravity
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In this thesis we study the dynamics of cosmological scenarios inspired by quantum
gravity.
Part I investigates novel features of the semi-classical regime of homogeneous and
isotropic loop quantum cosmology. Dynamics in this regime becomes modified by nonperturbative
quantum effects, subject to a number of ambiguities. For a flat universe
the quantum effects accelerate a scalar field along its self-interaction potential during a
period of super-inflation. We study how this behaviour can in principle set the initial
conditions for subsequent slow-roll inflation. We also calculate a first approximation
for the spectrum of perturbations produced during the super-inflationary phase. For the
positively-curved case we investigate how a bounce from a contracting to an expanding
phase can occur, and show that this can lead to oscillations of the universe. During the
oscillations the inflaton field can roll monotonically up its potential. Once the potential
energy becomes sufficiently large, however, the cycles end and inflation commences.
For a constant potential the oscillations occur about a centre fixed point allowing the
construction of `new emergent universe' scenarios where the universe is past-eternally
an Einstein static universe, but subsequently evolves into inflation.
Part II considers positively-curved braneworld models in which the dynamical equations
become modified in such a way as to permit a bounce. It is conjectured that models
of this type can exhibit similar behaviour to the positively-curved LQC scenario. General
conditions for this behaviour are determined in braneworld settings and we investigate an
explicit example - the baneworld of Shtanov and Sanhi - in detail
Authors
Mulryne, David JamesCollections
- Theses [4361]