Cce::GaugeUpdateJacobianFromCoordinates< GaugeFactorSpin2, GaugeFactorSpin0, AngularCoordinateTag, CartesianCoordinateTag > Struct Template Reference

From the angular coordinates AngularCoordinateTag and the Cartesian coordinates CartesianCoordinateTag, determine the spin-weighted Jacobian factors GaugeFactorSpin2 and GaugeFactorSpin0. More...

#include <GaugeTransformBoundaryData.hpp>

Public Types
using	return_tags = implementation defined
using	argument_tags = implementation defined

Static Public Member Functions
static void	apply (const gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, 2 > > * > gauge_factor_spin_2, const gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, 0 > > * > gauge_factor_spin_0, const gsl::not_null< tnsr::i< DataVector, 2, ::Frame::Spherical<::Frame::Inertial > > * > angular_source_coordinates, const tnsr::i< DataVector, 3 > &cartesian_source_coordinates, const size_t l_max)

Detailed Description

template<typename GaugeFactorSpin2, typename GaugeFactorSpin0, typename AngularCoordinateTag, typename CartesianCoordinateTag>
struct Cce::GaugeUpdateJacobianFromCoordinates< GaugeFactorSpin2, GaugeFactorSpin0, AngularCoordinateTag, CartesianCoordinateTag >

From the angular coordinates AngularCoordinateTag and the Cartesian coordinates CartesianCoordinateTag, determine the spin-weighted Jacobian factors GaugeFactorSpin2 and GaugeFactorSpin0.

Details

This is most often used in the context of generating the Jacobians in the evolution-gauge coordinates from the Cauchy collocation points as a function of the evolution gauge coordinates. In this concrete case, the GaugeFactorSpin2 is the gauge factor $\hat{c}$ and takes the value

$$\begin{array}{r}\hat{c}={\hat{q}}^{\hat{A}}{\partial }_{\hat{A}}(x^A)q_A,\end{array}$$

and the GaugeFactorSpin0 is the gauge factor $\hat{d}$ and takes the value

$$\begin{array}{r}\hat{d}={\hat{\overline{q}}}^{\hat{A}}{\partial }_{\hat{A}}(x^A)q_A.\end{array}$$

The more generic template construction is employed so that the spin-weighted Jacobians can also be computed between two arbitrary gauges, including the inverse Jacobians associated with moving from the evolution gauge to the Cauchy gauge.

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

• src/Evolution/Systems/Cce/GaugeTransformBoundaryData.hpp