Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-04-22
Phys.Rev. D73 (2006) 083521
Astronomy and Astrophysics
Astrophysics
13 pages, no figures. v4: Included general form of equations of motion and constraints (before fixing gauge); minor textual ch
Scientific paper
10.1103/PhysRevD.73.083521
We develop a non-linear framework for describing long-wavelength perturbations in multiple-field inflation. The basic variables describing inhomogeneities are defined in a non-perturbative manner, are invariant under changes of time slicing on large scales and include both matter and metric perturbations. They are combinations of spatial gradients generalising the gauge-invariant variables of linear theory. Dynamical equations are derived and supplemented with stochastic source terms which provide the long-wavelength initial conditions determined from short-wavelength modes. Solutions can be readily obtained via numerical simulations or analytic perturbative expansions. The latter are much simpler than the usual second-order perturbation theory. Applications are given in a companion paper.
Rigopoulos Gerasimos I.
Shellard Paul. E. S.
van Tent J. W. B.
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