Codes
Mathematica codes for the GR Toolkit book
These notebooks are written for my study of the book A Relativist’s Toolkit: The Mathematics of Black Hole Mechanics by Eric Poisson. For now a few exercises have been coded. The use of xAct packages of Mathematica is practiced (especially the xCoba package for component calculations in GR), except for the first two exercises. Notebooks for more exercises as well as for reproducing some calculations in the main text of the book are intended. The list will grow.
- Chapter 2, exercise 2: Timelike congruence in FLRW and Friedmann equations (no use of xAct)
- Chapter 2, exercise 3: Timelike congruence in Schwarzschild (no use of xAct)
- Chapter 5, exercise 4: Kerr geodesics
Spin-weighted spherical harmonics
This notebook codes the spin-weighted spherical harmonics in J. Math. Phys. 8, 2155–2161 (1967) by J. N. Goldberg, A. J. Macfarlane, E. T. Newman, F. Rohrlich and E. C. G. Sudarshan. A few properties of the spin-weighted spherical harmonics are checked to test the validity of the codes. Plots can be added if needed.