Speaker: Ismael Delgado Gaspar (National Centre for Nuclear Research)
Abstract
The current era of precision cosmology has provided us with high-quality observational data across astrophysical and cosmological scales. Interpreting these data requires robust modeling of self-gravitating systems. However, the use of exact solutions of Einstein’s equations and non-linear approaches has been less favored in examining the observations.
In this talk, we explore different relativistic approaches to model the formation of large-scale structures, with an emphasis on exact solutions and the relativistic Zeldovich approximation (RZA). We show how the dynamical freedom of the Lemaıtre-Tolman-Bondi (LTB) and Szekeres exact solutions allows for a realistic description of three-dimensional networks of cold dark matter structures. We discuss the “silent property” exhibited by these solutions and its use in developing alternative approaches. Specifically, we establish a connection between the LTB/Szekeres models and RZA, allowing us to develop a new general relativistic method. By exploring these various methods, we aim to enhance our understanding of the role of curvature and relativistic corrections in the formation of large-scale structures.
