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Various bits of supplementary material that
are made available over the course of the semester:
GRTool.nb, a Mathematica
notebook to expedite the more tedious tensor
manipulations.
Notes on GR using a tetrad based orthonormal basis rather than the
more usual coordinate basis.
Notes on the Einstein-Hilbert
action.
Paper describing the
gauge-invariant characterization of different degrees of
freedom in linearized theory (Sec 2.2).
The averaging procedure that is used in developing
gravitational waves on a curved background was developed
in
Method of the
Self-Consistent Field in General Relativity and its
Application to the Gravitational Geon, by Dieter
R. Brill and James B. Hartle, Phys. Rev. 135, B271
(1964).
The application of these ideas to gravitational radiation
was developed by Richard Isaacson:
Gravitational
Radiation in the Limit of High Frequency. I. The Linear
Approximation and Geometrical Optics, Richard
A. Isaacson, Phys. Rev. 166, 1263 (1968),
Gravitational
Radiation in the Limit of High Frequency. II. Nonlinear
Terms and the Effective Stress Tensor, Richard
A. Isaacson, Phys. Rev. 166, 1272 (1968).
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