SpECTRE  v2021.12.06
Ccz4::Tags::GammaHat< Dim, Frame, DataType > Struct Template Reference

The CCZ4 evolved variable \(\hat{\Gamma}^i\). More...

#include <Tags.hpp>

Public Types

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

Detailed Description

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

The CCZ4 evolved variable \(\hat{\Gamma}^i\).

Details

This must satisfy the identity:

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

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


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