Closed-form expressions for the rate of growth of perturbations in zero-pressure Friedmann-Lemaître universes |
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Authors: | D. J. Heath |
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Affiliation: | (1) Faculty of Applied Sciences, Luton College of Higher Education, Luton, U.K. |
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Abstract: | 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. |
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