Schwarzschild Metric in General Relativity - Lecture 15

Explore the intricacies of the Schwarzschild metric in this comprehensive graduate-level lecture from the Warsaw4PhD and GeoPlanet PhD schools. Delve into corrections from the previous lecture before diving into a thorough examination of the Schwarzschild metric's asymptotics. Investigate the gravitational frequency shift and acceleration of static observers within this metric. Analyze geodesics in Schwarzschild spacetime, including an in-depth look at the effective potential and circular orbits for both massive particles and photons. Conclude with a discussion on perihelion precession. This 1-hour and 46-minute lecture, delivered by Mikołaj Korzyński from the Center for Theoretical Physics, Polish Academy of Sciences, offers a rigorous exploration of advanced concepts in general relativity and spacetime geometry.

Corrections to previous lecture
Summary of the previous lecture
Asymptotics of the Schwarzschild metric
Gravitational frequency shift in the Schwarzschild metric
Acceleration of static observers
Geodesics in Schwarzschild
Break
Geodesics in Schwarzschild
Effective potential
Circular orbits of massive particles
Circular orbits of photons
Perihelion precession