Nonlinear effects of self-gravitating systems in cosmology are considered on the basis of perturbation theory. In particular, we examine several cases in which evolution of the power spectrum of density fluctuations can be analytically calculated. In some cases, nonlinearity suppresses the growth of fluctuations relative to linear theory, and the power transfer via nonlinear mode coupling is sensitive to the specific shape of the underlying fluctuation spectrum. The result is in good agreement with recent numerical simulations.
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Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, BrazilUniv Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
Abdalla, Elcio
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Afshordi, Niayesh
Fontanini, Michele
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Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, BrazilUniv Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
Fontanini, Michele
Guariento, Daniel C.
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Univ Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
Perimeter Inst Theoret Phys, Waterloo, ON N2L 2Y5, CanadaUniv Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil
Guariento, Daniel C.
Papantonopoulos, Eleftherios
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Natl Tech Univ Athens, Dept Phys, GR-15773 Athens, GreeceUniv Sao Paulo, Inst Fis, BR-05315970 Sao Paulo, Brazil