Physics
Scientific paper
Feb 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991oti..work...10s&link_type=abstract
Presented at the NATO Advanced Research Workshop: Observational Tests of Inflation, Durham (UK), 10-14 Dec. 1990
Physics
Gravitation, Hubble Diagram, Many Body Problem, Quantum Theory, Universe, Field Theory (Physics), Hamilton-Jacobi Equation, Red Shift, Scalars, Trajectories, Variations
Scientific paper
Non-Guassian fluctuation for structure formation may be generated during the inflationary epoch from the nonlinear interaction of two scalar fields with gravity. Semi-analytical calculations are given describing nonlinear long wavelength evolution in 3 + 1 dimensions. Long wavelength fields are governed by a single equation, the separated Hamilton-Jacobi equation (SHJE). Complete analytic solutions are discussed of the SHJE for two scalar fields with a potential whose logarithm 1n V (phi sub j) is linear. More complicated potential surfaces may be approximated by continuously joining various linear 1n V(phi sub j) potentials. Typically, non-Gaussian fluctuations arise when one passes over several sharp ridges in the potential surface. One can input this richer class of initial conditions into N-body codes to see the effects on the large scale structure in the Universe. The cleanest test of non-Gaussian fluctuations will hopefully occur in the near future from large angle microwave background anisotropy experiments.
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