8.962 General Relativity (Spring 2020, MIT OCW): Lecture 21

8.962 General Relativity

8.962 General Relativity (Spring 2020, MIT OCW). Instructor: Prof. Scott Hughes. 8.962 is MIT's graduate course in general relativity, which covers the basic principles of Einstein's general theory of relativity, differential geometry, experimental tests of general relativity, black holes, and cosmology. (from ocw.mit.edu)

Lecture 21 - Spherical Compact Sources II

How to solve the TOV equations, and limiting cases. We examine Buchdahl's theorem, which shows that a body has a maximum compactness and show that if one tries to make a body more compact than this, something weird appears to happen. In particular, we find very different views of radial infall into this body depending on whether clocks tick per unit proper time (appropriate to the infalling observer) or per unit coordinate time (appropriate to distant observers watching this process).

Go to the Course Home or watch other lectures:

Lecture 01 - Introduction and the Geometric Viewpoint on Physics

Lecture 02 - Introduction to Tensors

Lecture 03 - Tensors (cont.)

Lecture 04 - Volumes and Volume Elements; Conservation Laws

Lecture 05 - The Stress Energy Tensor and the Christoffel Symbol

Lecture 06 - The Principle of Equivalence

Lecture 07 - The Principle of Equivalence (cont.); Parallel Transport

Lecture 08 - Lie Transport, Killing Vectors, Tensor Densities

Lecture 09 - Geodesics

Lecture 10 - Spacetime Curvature

Lecture 11 - More on Spacetime Curvature