1205.5274 (Cornelius Rampf)

The recursion relation in Lagrangian perturbation theory    [PDF]

Cornelius Rampf

We derive for the first time 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 the fact that the perturbative expansion of the matter density contrast is in one-to-one correspondence with standard perturbation theory (SPT) at any order. This correspondence has been recently shown to be valid up to fourth order for a non-relativistic, irrotational and dust-like component. Assuming it to be valid at arbitrary (higher) order, we express the Lagrangian displacement field in terms of SPT. We argue that the Lagrangian solution always contains more non-linear information in comparison with the one in SPT.

View original: http://arxiv.org/abs/1205.5274