2006
DOI: 10.1051/0004-6361:20064899
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The non-perturbative regime of cosmic structure formation

Abstract: This paper focusses on the barely understood gap between the weakly nonlinear regime of structure formation and the onset of the virialized regime. While the former is accessed through perturbative calculations and the latter through virialization conditions incorporating dynamical stresses that arise in collisionless self-gravitating systems due to velocity dispersion forces, the addressed regime can only be understood through non-perturbative models. We here present an exact Lagrangian integral that provides… Show more

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Cited by 16 publications
(20 citation statements)
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“…This intermediate step already renders the master equation for the perturbations (48) nonlinear in local coordinates due to the presence of the covariant spatial derivatives. Such an iteration may converge to a nonlinear solution after a sufficient number of steps (see, however, [24], and related iteration procedures for the Newtonian problem [20,21]).…”
Section: Iterative Extrapolationmentioning
confidence: 99%
“…This intermediate step already renders the master equation for the perturbations (48) nonlinear in local coordinates due to the presence of the covariant spatial derivatives. Such an iteration may converge to a nonlinear solution after a sufficient number of steps (see, however, [24], and related iteration procedures for the Newtonian problem [20,21]).…”
Section: Iterative Extrapolationmentioning
confidence: 99%
“…Models with isotropic pressure can also be considered as phenomenological models for the generally anisotropic pressure originating from the velocity dispersion of dust particles [47][48][49], by taking velocity moments of the collisionless Vlasov equation [24,25]. For a sequence of modeling assumptions used in nonperturbative extensions of Lagrangian perturbation theory, see the summary [21]. In this paper we will extend relativistic Lagrangian perturbation theory for a dust matter model [L1, L2, L3, L4] to the case of irrotational perfect fluids, and also to cases that are relevant for the modeling of multistream regimes where the dust approximation breaks down.…”
Section: Introductionmentioning
confidence: 99%
“…These ansätze unfortunately provide a poor description of the internal structure of collapsed structures. The iterative procedure relying on a transport equation of the gravitational field proposed by Buchert (2006) is potentially one exception, but it was not yet tested against numerical simulations.…”
Section: Introductionmentioning
confidence: 99%