Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986a%26a...165...10v&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 165, no. 1-2, Sept. 1986, p. 10-14.
Astronomy and Astrophysics
Astrophysics
4
Baryons, Cosmic Plasma, Cosmology, Perturbation Theory, Astronomical Models, Hubble Constant, Universe
Scientific paper
A general analytic solution is derived governing the time evolution of adiabatic perturbations and the corresponding velocity gradients in an ideal cosmic fluid. The universe is assumed baryonic, evolving according to a Friedmann-Lemaitre model with cosmological constant zero. It is shown first that a particular solution is proportional to Hubble's parameter, independently of the scale of the perturbation. This particular solution corresponds to the decaying initial mode. A second order differential equation governing the evolution of the other two initially growing modes is derived and solved in terms of hypergeometric functions. This solution separates the modes uniquely and connects analytically the spectrum of adiabatic perturbations inside the horizon to the initial conditions.
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