A Lagrangian approach is used to study the non-linear dynamics of cosmological perturbations of an irrotational fluid. The solutions at second order in perturbation theory are given and analogies and differences with Newtonian solutions at the same order are also discussed
A Relativistic Study of Gravitational Instability in the Expanding Universe
PANTANO, ORNELLA;MATARRESE, SABINO;
1995
Abstract
A Lagrangian approach is used to study the non-linear dynamics of cosmological perturbations of an irrotational fluid. The solutions at second order in perturbation theory are given and analogies and differences with Newtonian solutions at the same order are also discussed
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