Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields
- 15 July 1992
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 46 (2) , 585-602
- https://doi.org/10.1103/physrevd.46.585
Abstract
Equations of self-gravitating systems in the Universe are solved by expanding as perturbation series in Fourier space. The formulas for the higher-order terms are given for density and velocity fields. We apply the formulas to several analytically integrable models whose linear density power spectra obey a single power law, and asymptotically approach the prediction of the cold-dark-matter scenario. We explicitly give the nonlinear gravitational evolution for the fields and its dependence on the initial spectrum.Keywords
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