Radial Teukolsky module#
Background#
The RadialTeukolsky class solves the homogeneous radial Teukolsky equation
\[\left[\Delta^{-s} \frac{d}{dr} \left(\Delta^{s+1} \frac{d }{dr} \right) + \left(\frac{K^2-2is(r-M)K}{\Delta}+4is\omega r - \lambda_{sjm\omega} \right)\right]R_{sjm\omega} =0\]
given the parameters:
\(s\) : spin-weight of the perturbation
\(j\) : the spheroidal polar mode number
\(m\) : the azimuthal mode number
\(a\) : the dimensionless Kerr spin parameter
\(\omega\) : the frequency
where \(\Delta=r^2-2Mr+a^2\), \(K=(r^2+a^2)\omega-ma\), and \(\lambda_{sjm\omega}\) is the spheroidal eigenvalue (separation constant).