Astrophysics and Space Science

, Volume 154, Issue 2, pp 207–216 | Cite as

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

  • D. J. Heath


The general solutions to the density perturbation equation derived by Bonnor are pressented for the zero-pressure Friedmann-Lemaître 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.


General Solution Elementary Function Elliptic Function Density Perturbation Hyperbolic Function 
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Copyright information

© Kluwer Academic Publishers 1989

Authors and Affiliations

  • D. J. Heath
    • 1
  1. 1.Faculty of Applied SciencesLuton College of Higher EducationLutonU.K.

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