Gravity seminar - Cornelius Rampf Seminar

The first part of the talk is devoted to current achievements to the cosmological structure formation within the Newtonian picture. In particular, I show how to obtain exact (i.e., to arbitrary high accuracy) perturbative solutions for the fully non-linear fluid equations. These findings could assist to close significantly the gap between analytical and numerical tools. Applications to these findings could be for example the study of shell-crossing or the cosmological reconstruction problem, or any other phenomenon where high spatial resolution is required. In the second part of the talk I show how general relativistic effects can be effectively described in Newtonian (N-body) simulations of the cosmological structure formation, especially considering baryonic and radiative effects. I define a new gauge, the N-body gauge, and show that a conventional Newtonian simulation includes all first-order relativistic corrections if the coordinates in the Newtonian simulation are identified with those in the N-body gauge.