Super-Hubble Nonlinear Perturbations During Inflation

Details Super-Hubble Nonlinear Perturbations During Inflation Super-Hubble Nonlinear Perturbations During Inflation

2000-11-22

arxiv.org/abs/gr-qc/0011075v2

Phys.Rev. D63 (2001) 123505

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, 1 figure added and minor changes made. Accepted for publication in Physical Review D

Scientific paper

10.1103/PhysRevD.63.123505

We show that the non-linear evolution of long wavelength perturbations may be important in a wide class of inflationary scenarios. We develop a solution for the evolution of such nonlinear perturbations which is exact to first order in a gradient expansion. As a first application, we demonstrate that in single field models of inflation there can be no parametric amplification of super-Hubble modes during reheating. We consider the implications of the solution for recent discussions of the back-reaction effect of long wavelength perturbations on the background geometry, give a new derivation of the equation of motion of stochastic inflation, and demonstrate that if the (generalized) slow-rolling condition is not satisfied, then inevitably long wavelength vector modes for gravitational fluctuations will be generated.

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