Closed-form expressions for the rate of growth of perturbations in zero-pressure Friedmann-Lemaitre universes

Details Closed-form expressions for the rate of growth of perturbations in zero-pressure Friedmann-Lemaitre universes Closed-form expressions for the rate of growth of perturbations in zero-pressure Friedmann-Lemaitre universes

Apr 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989ap%26ss.154..207h&link_type=abstract

Astrophysics and Space Science (ISSN 0004-640X), vol. 154, no. 2, April 1989, p. 207-216.

Statistics

Computation

4

Astronomical Models, Computational Astrophysics, Cosmology, Perturbation Theory, Universe, Curvature, Density Wave Model, Elliptic Functions, Space-Time Functions

Scientific paper

The general solutions to the density perturbation equation derived by Bonnor are presented for the zero-pressure Friedmann-Lemaitre universes in terms of elliptic functions. The particular solutions already published to this equation in terms of elementary functions are exhibited as special cases arising from the general solutions. These occur when the elliptic functions simplify to either trigonometric or hyperbolic functions.

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