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BlackHolePerturbationToolkit / Teukolsky

A Mathematica package for computing solutions to the Teukolsky equation.
http://bhptoolkit.org/Teukolsky/
MIT License
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the homogeneous solution of HeunC function. #30

Closed IronChen1 closed 1 year ago

IronChen1 commented 2 years ago

The HeunC function is used to solve the homogeneous solution of the Teukolsky equation. Why can't the amplitude of the solution be read? How is this solution constructed? Why is there no solution for the outgoing wave of HeunC function?

barrywardell commented 1 year ago

Commit c9aa43a7bfb20b3e03cc0d7983070a31207cb3a9 adds support for computing the asymptotic amplitudes when the HeunC method is used. This will be included in the next release version.

Unfortunately, the outgoing solutions are not immediately expressible in terms of HeunC. My understanding is that we can get them by taking a combination of HeunC functions, but the coefficients have to be derived using the MST method.

IronChen1 commented 1 year ago

Thank you very much for your reply.