Fluctuations for galaxy formation from inflation models
Abstract
The theory of fluctuations for galaxy formation from chaotic inflation models is extended to include the effects of: (1) multiple scalar fields; (2) curvature coupling of scalar fields to gravity; (3) nonlinear evolution of long wavelength metric and scalar fields; and (4) stochastic generation of initial conditions. The chaotic inflation scenario may be housed within a grand unified theory (GUT) framework through a coupling of scalar Higgs field to curvature. If the curvature coupling is chosen large and negative, then a more natural value of scalar field selfcoupling lambda approximately equals 0.05 gives the observed level of fluctuations. Using HamiltonJacobi theory, a general formalism is presented for following the nonlinear evolution of the metric (scalar, vector, and tensor modes) and scalar fields for fluctuations with wavelengths greater than the Hubble radius. Employing an expansion accurate to first order in spatial gradients, the classical momentum constraint of the ArnowittDeserMisner (ADM) formalism may be integrated exactly without recourse to linear perturbation theory. It is shown how nonlinear effects of the metric and scalar fields may be included in Starobinski's formulation of stochastic inflation. A FokkerPlanck equation is formulated which describes how the probability function evolves in time. Analytic Green's function solutions are obtained for a single scalar field self interacting through an exponential potential.
 Publication:

Ph.D. Thesis
 Pub Date:
 September 1989
 Bibcode:
 1989PhDT........15S
 Keywords:

 Astronomical Models;
 Big Bang Cosmology;
 Fluctuation Theory;
 Galactic Evolution;
 Grand Unified Theory;
 Astrophysics;
 Chaos;
 Expansion;
 Metric Space;
 Astrophysics