General Relativistic Approaches to Modeling Large-Scale Structure Formation

Explore general relativistic approaches to modeling large-scale structure formation in the universe in this comprehensive lecture by Dr. Ismael Delgado Gaspar from the National Centre for Nuclear Research. Delve into the challenges of interpreting high-quality observational data from precision cosmology and the need for robust modeling of self-gravitating systems. Examine the potential of exact solutions of Einstein's equations and non-linear approaches in analyzing cosmic observations. Investigate different relativistic methods for modeling large-scale structure formation, with a focus on exact solutions and the relativistic Zeldovich approximation (RZA). Learn how the Lemaıtre–Tolman–Bondi (LTB) and Szekeres exact solutions provide a realistic description of three-dimensional networks of cold dark matter structures. Discover the significance of the "silent property" in these solutions and its role in developing alternative approaches. Understand the connection established between LTB/Szekeres models and RZA, leading to a new general relativistic method. Gain insights into the importance of curvature and relativistic corrections in the formation of large-scale structures through this in-depth exploration of various methods.