SpECTRE  v2021.11.01
Ccz4::Tags::GammaHatMinusContractedConformalChristoffel< Dim, Frame, DataType > Struct Template Reference

The CCZ4 temporary expression \(\hat{\Gamma}^i - \tilde{\Gamma}^i\). More...

#include <TempTags.hpp>

Public Types

using type = tnsr::I< DataType, Dim, Frame >
 

Detailed Description

template<size_t Dim, typename Frame, typename DataType>
struct Ccz4::Tags::GammaHatMinusContractedConformalChristoffel< Dim, Frame, DataType >

The CCZ4 temporary expression \(\hat{\Gamma}^i - \tilde{\Gamma}^i\).

Details

We define:

\begin{align} \hat{\Gamma}^i - \tilde{\Gamma}^i &= 2 \tilde{\gamma}^{ij} Z_j \end{align}

where \(\hat{\Gamma}^{i}\) is the CCZ4 evolved variable defined by Ccz4::Tags::GammaHat, \(\tilde{\Gamma}^{i}\) is the contraction of the conformal spatial Christoffel symbols of the second kind defined by Ccz4::Tags::ContractedConformalChristoffelSecondKind, \(\tilde{\gamma}^{ij}\) is the inverse conformal spatial metric defined by Ccz4::Tags::InverseConformalMetric, and \(Z_i\) is the spatial part of the Z4 constraint defined by Ccz4::Tags::SpatialZ4Constraint.


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