Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields

Details Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields Analytic approach to the perturbative expansion of nonlinear gravitational fluctuations in cosmological density and velocity fields

Jul 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992phrvd..46..585m&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 46, Issue 2, 15 July 1992, pp.585-602

Physics

100

Scientific paper

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.

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