140 citations · 1.4k across the 46 of their papers we have counts for
4 papers · 1 filter
Zel'dovich approximation and General Relativity
Cornelius Rampf, Gerasimos Rigopoulos
We show how the Zel'dovich approximation and the second order displacement field of Lagrangian perturbation theory can be obtained from a general relativistic gradient expansion in…
The recursion relation in Lagrangian perturbation theory
Cornelius Rampf
We derive a recursion relation in the framework of Lagrangian perturbation theory, appropriate for studying the inhomogeneities of the large scale structure of the universe. We use…
Lagrangian perturbations and the matter bispectrum II: the resummed one-loop correction to the matter bispectrum
Cornelius Rampf, Yvonne Y. Y. Wong
This is part two in a series of papers in which we investigate an approach based on Lagrangian perturbation theory (LPT) to study the non-linear evolution of the large-scale struct…
Lagrangian perturbations and the matter bispectrum I: fourth-order model for non-linear clustering
Cornelius Rampf, Thomas Buchert
We investigate the Lagrangian perturbation theory of a homogeneous and isotropic universe in the non-relativistic limit, and derive the solutions up to the fourth order. These solu…