The Schwarzschild Solution to Einstein Equations: a Mathematica perspective (Part II)

Edda del Santo

Corso di "Relatività Generale"

Einstein Equations are at the core of General Relativity and relate the spacetime geometry to the mass-energy and momentum content. The first exact solution to this equations is the one found by Schwarschild in 1916, which describes a vacuum spacetime around a static, massive, spherically symmetric object. In this two-part seminar we analyze this solution from the mathematical point of view: first we introduce the differential geometry tools needed for a rigorous derivation of Schwarzschild solution and then we derive it explicitly.