Lecture 8: Lie Transport, Killing Vectors, Tensor Densities

Name: Lecture 8: Lie Transport, Killing Vectors, Tensor Densities
Uploaded: 2020-08-26T14:49:50Z
Duration: 1 h 16 min 14 s
Description: Description: Discussion of a second notion of transport, “Lie” transport, and the associated Lie derivative. Use of this derivative to discuss spacetime symmetries, as encapsulated by Killing vectors. Also discusses “tensor densities,” volume elements in general spacetimes, and certain tricks and identities that use the determinant of the spacetime metric. Instructor: Prof. Scott Hughes

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Description: Discussion of a second notion of transport, “Lie” transport, and the associated Lie derivative. Use of this derivative to discuss spacetime symmetries, as encapsulated by Killing vectors. Also discusses “tensor densities,” volume elements in general spacetimes, and certain tricks and identities that use the determinant of the spacetime metric.

Instructor: Prof. Scott Hughes