ScalarSelfForce::Tags::MMode Struct Reference

The complex m-mode field \(\Psi_m\). More...

#include <Tags.hpp>

Public Types
using	type = Scalar< ComplexDataVector >

Detailed Description

The complex m-mode field \(\Psi_m\).

Defined by the m-mode decomposition of the complex scalar field \(\Phi\) [Eq. (2.6) in [158] ]:

\begin{equation} \Phi(t,r,\theta,\phi) = \frac{1}{r} \sum_{m=-\infty}^{\infty} \Psi_m(r,\theta) e^{im\Delta\phi(r)} e^{im(\phi - \Omega t)} \end{equation}

where \(\Delta\phi(r) = \frac{a}{r_\plus - r_\minus} \ln(\frac{r-r_\plus}{r-r_\minus})\).

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The documentation for this struct was generated from the following file:

• src/Elliptic/Systems/SelfForce/Scalar/Tags.hpp