This work proposes a new measure of inflation, based upon contraction of the comoving Hubble length as opposed to the usual $e$-foldings of physical expansion, and derives relevant formulae from an infinite hierarchy of slow-roll parameters.
This work investigates models of `intermediate' inflation, where the scale factor $a(t)$ grows as a(t)=\mathrm{exp}(A{t}^{f})$, and finds that the perturbation spectral index $n$ can be greater than unity on astrophysical scales.
The strongest limits constrain the present rate of change of the mean radius of any additional spatial dimensions in Kaluza-Klein and superstring theories to be less than about 10/sup -19/ yr/Sup -1/.
This work constructs a family of exact solutions to the equations of motion with potentials resembling the above form and demonstrates their inflationary nature; deflationary and conflationary cosmological behaviours are also defined and identified.
A toy model in which black holes evaporate to leave a relic is provided, and the question of nucleation of such objects in a thermal bath of gravitons at high temperature is addressed.
A method is investigated which enables exact solutions to be found for vacuum and radiation-dominated Friedmann universes of all curvatures in scalar-tensor theories with an arbitrary form for the coupling of the scalar field which determines the strength of the gravitational field.
Baryogenesis at the end of extended inflation is studied and the possibility that the wall collisions may provide a significant density of primordial black holes is considered and their possible role in generating a baryon asymmetry is examined.
A subclass of scalar-tensor gravity theories yields a one-parameter family of cosmological models displaying either expansion from an initial singularity or a bounce following contraction from an infinitely extended initial state.