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Second order metric perturbation of Kerr black holes: Derivations

This repository contains a Mathematica notebook that goes through some of the derivations of the Teukolsky equation and metric reconstruction equations in a horizon-penetrating, hyperboloidally compactified coordinate system for the Kerr spacetime.

Look under Releases for the latest stable version of this code.

Some of the equations in the notebook refer to S. Chandrasekhar's book The Mathematical Theory of Black holes.

Citation

If you use this code please cite our paper which uses this code. Also consider citing our paper which describes our formalism in more detail.

Contact

For questions please contact Justin Ripley: lloydripley [at] gmail [dot] com