Gravitational frequency shift in the Schwarzschild metric
5
Acceleration of static observers
6
Geodesics in Schwarzschild
7
Break
8
Geodesics in Schwarzschild
9
Effective potential
10
Circular orbits of massive particles
11
Circular orbits of photons
12
Perihelion precession
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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.
Schwarzschild Metric in General Relativity - Lecture 15