Date: 04 JUNE 2021 from 14:30 to 15:30
In this talk, I will construct a dimensionless and covariant formulation of Tolman-Oppenheimer-Volkoff (TOV) equations. This new formulation makes evident the mathematical structure of the TOV equations and allows to devise strategies to obtain new, physically relevant, exact solutions. I will show that these covariant TOV equations can be extended to include anisotropic pressure terms and even additional fluids. I will then present some exact solutions for isotropic, anisotropic, and two-fluid isotropic objects composed of cold catalyzed matter. Finally, I will briefly sketch some perspectives for further generalization aimed to include heat fluxes, interactions, electromagnetic fields and modified gravity.