Astrophysics and Cosmology

GENERAL OBJECTIVES: The course aims to teach the student mainly the theory of structures formation, both in the early stages of linear evolution and in the most advanced phases. At the same time, statistical methods will be analyzed to compare theoretical predictions with observational data. Finally, the student will learn the main elements of gravitational lensing, both the theoretical aspects and its use in astrophysics and cosmology SPECIFIC OBJECTIVES: A - Knowledge and understanding OF 1) To know the equations that regulate the growth of density perturbations in different cosmological scenarios OF 2) To understand the role of the radiative, baryonic and dark matter components in the formation of cosmic structures OF 3) To know the statistical properties of Gaussian stochastic fields and in particular those of the perturbation power spectrum OF 4) To know the spherical collapse model and the role of numerical simulations in cosmology OF 5) To know the statistical methods used in the analysis of collapsed objects OF 6) To know the equations that determine the deflection of light by massive objects, in particular those concerning the formation of multiple images and the distortion of background sources … B - Application skills OF 7) To be able to deduce the properties of the large-scale structure of the Universe as a function of the different dynamic components and different types of primordial spectrum OF 8) To be able to apply statistical methods to data analysis of different cosmological probes OF 9) To be able to deduce the properties of collapsed structures from those of the density field in linear regime using the Press-Schechter formalism OF 10) To be able to apply the lensing equations in the case of the main astrophysical and cosmological applications C - Autonomy of judgment OF 11) To be able to integrate the concepts acquired in order to apply them in the more general context of cosmology and extra-galactic astrophysics D - Communication skills OF 12) To know how to communicate concepts and ideas in the cosmology field with an appropriate mathematical language and formalism E - Ability to learn OF 13) Have the ability to read scientific papers in order to further explore some of the topics introduced during the course