Cosmological perturbation theory and the spherical collapse model — II. Non-Gaussian initial conditions

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Cosmological Perturbation Theory and the Spherical Collapse model : Part II . Non - Gaussian initial conditions

In Part I of this series, we introduced the Spherical Collapse (SC) approximation in Lagrangian space as a way of estimating the cumulants ξJ of density fluctuations in cosmological Perturbation Theory (PT). Within this approximation, the dynamics is decoupled from the statistics of the initial conditions, so we are able to present here the cumulants for generic Non-Gaussian initial conditions,...

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Cosmological Perturbation Theory and the Spherical Collapse model - II . Non - Gaussian initial conditions

In Part I of this series, we introduced the Spherical Collapse (SC) approximation in Lagrangian space as a way of estimating the cumulants ξJ of density fluctuations in cosmological Perturbation Theory (PT). Within this approximation, the dynamics is decoupled from the statistics of the initial conditions, so we are able to present here the cumulants for generic Non-Gaussian initial conditions,...

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Cosmological Perturbation Theory and the Spherical Collapse model - I . Gaussian initial conditions

We present a simple and intuitive approximation for solving perturbation theory (PT) of small cosmic fluctuations. We consider only the spherically symmetric or monopole contribution to the PT integrals, which yields the exact result for tree-graphs (e.g. at leading order). We find that the non-linear evolution in Lagrangian space is then given by a simple local transformation over the initial ...

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Cosmological Perturbation Theory and the Spherical Collapse model : Part I . Gaussian initial conditions

We present a simple and intuitive approximation for solving perturbation theory (PT) of small cosmic fluctuations. We consider only the spherically symmetric or monopole contribution to the PT integrals, which yields the exact result for treegraphs. We find that the non-linear evolution is then given by a local transformation over the initial conditions. In the case of gravitational evolution o...

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Cosmological Perturbation Theory and the Spherical Collapse model - III . The Velocity divergence field & the Ω - dependence

Cosmological Perturbation Theory (PT) is a useful tool to study the cumulants of the density and velocity fields in the large scale structure of the Universe. In papers I & II of this series we saw that the Spherical Collapse (SC) model provides with the exact solution to PT at tree-level and gives a good approximation to the loop corrections (next to leading orders), indicating negligible tida...

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ژورنال

عنوان ژورنال: Monthly Notices of the Royal Astronomical Society

سال: 1998

ISSN: 0035-8711,1365-2966

DOI: 10.1046/j.1365-8711.1998.02034.x