Description
In this presentation I will introduce a rigorous and general framework to study systematically self- gravitating elastic materials within general relativity. I will introduce two classes of elastic equations of state that can be used to explore properties of exotic compact objects. I will discuss the general effects of elasticity on the structure of compact objects, including an analysis on the compactness bounds of compact objects. I will conclude the presentation by discussing how relativistic elasticity can be useful to address issues such as the neutron star structure and the modeling of ultracompact objects.