SpECTRE  v2021.11.01
Cce::GaugeAdjustedBoundaryValue< Tags::BondiJ > Struct Reference

Computes the evolution gauge quantity \(\hat J\) on the worldtube. More...

#include <GaugeTransformBoundaryData.hpp>

Public Types

using return_tags = tmpl::list< Tags::EvolutionGaugeBoundaryValue< Tags::BondiJ > >
 
using argument_tags = tmpl::list< Tags::BoundaryValue< Tags::BondiJ >, Tags::PartiallyFlatGaugeC, Tags::PartiallyFlatGaugeD, Tags::PartiallyFlatGaugeOmega, Spectral::Swsh::Tags::SwshInterpolator< Tags::CauchyAngularCoords > >
 

Static Public Member Functions

static void apply (gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, 2 > > * > evolution_gauge_j, const Scalar< SpinWeighted< ComplexDataVector, 2 > > &cauchy_gauge_j, const Scalar< SpinWeighted< ComplexDataVector, 2 > > &gauge_c, const Scalar< SpinWeighted< ComplexDataVector, 0 > > &gauge_d, const Scalar< SpinWeighted< ComplexDataVector, 0 > > &omega, const Spectral::Swsh::SwshInterpolator &interpolator)
 

Detailed Description

Computes the evolution gauge quantity \(\hat J\) on the worldtube.

Details

The evolution gauge quantity \(\hat J\) obeys

\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: