SpECTRE  v2023.01.13

Apply a radius-independent angular gauge transformation to a volume $$J$$, for use with initial data generation. More...

#include <InitializeJ.hpp>

## Public Types

using boundary_tags = tmpl::list< Tags::PartiallyFlatGaugeC, Tags::PartiallyFlatGaugeD, Tags::PartiallyFlatGaugeOmega, Tags::CauchyAngularCoords, Spectral::Swsh::Tags::LMax >

using return_tags = tmpl::list< Tags::BondiJ >

using argument_tags = tmpl::append< boundary_tags >

## Static Public Member Functions

static void apply (gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, 2 > > * > volume_j, const Scalar< SpinWeighted< ComplexDataVector, 2 > > &gauge_c, const Scalar< SpinWeighted< ComplexDataVector, 0 > > &gauge_d, const Scalar< SpinWeighted< ComplexDataVector, 0 > > &gauge_omega, const tnsr::i< DataVector, 2, ::Frame::Spherical<::Frame::Inertial > > &cauchy_angular_coordinates, const Spectral::Swsh::SwshInterpolator &interpolator, size_t l_max)

## Detailed Description

Apply a radius-independent angular gauge transformation to a volume $$J$$, for use with initial data generation.

### Details

Performs the gauge transformation to $$\hat J$$,

\begin{align*} \hat J = \frac{1}{4 \hat{\omega}^2} \left( \bar{\hat d}^2 J(\hat x^{\hat A}) + \hat c^2 \bar J(\hat x^{\hat A}) + 2 \hat c \bar{\hat d} K(\hat x^{\hat A}) \right). \end{align*}

Where $$\hat c$$ and $$\hat d$$ are the spin-weighted angular Jacobian factors computed by GaugeUpdateJacobianFromCoords, and $$\hat \omega$$ is the conformal factor associated with the angular coordinate transformation. Note that the right-hand sides with explicit $$\hat x^{\hat A}$$ dependence must be interpolated and that $$K = \sqrt{1 + J \bar J}$$.

The documentation for this struct was generated from the following file:
• src/Evolution/Systems/Cce/Initialize/InitializeJ.hpp