Initial conditions for perturbations in R+ɛR2 cosmology

Details Initial conditions for perturbations in R+ɛR2 cosmology Initial conditions for perturbations in R+ɛR2 cosmology

Mar 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989phrvd..39.1511m&link_type=abstract

Physical Review D (Particles and Fields), Volume 39, Issue 6, 15 March 1989, pp.1511-1516

Physics

4

Origin And Formation Of The Universe

Scientific paper

In a classical inflationary cosmology based on the R+ɛR2 Lagrangian the parameters of the model (such as ɛ and the initial conditions for inflationary trajectories) are constrained by the observational requirement that any perturbations be delivered small to the present horizon volume. Previous calculations of the evolution of these perturbations (and, hence, of the parameter constraints enforced by their evolution) have assumed that the modes begin in their ground state. In this paper, following the procedure of Halliwell and Hawking, the Wheeler-DeWitt equation is derived for this model's inhomogeneous modes in perturbative superspace. Then, the two boundary-condition proposals of Hartle and Hawking (``no boundary'') and Vilenkin (``tunneling from nothing'') are implemented, verifying that both boundary conditions require the inhomogeneous modes to begin in their ground states.

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