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SpECTRE
v2025.03.17
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The CCZ4 temporary expression \(\hat{\Gamma}^i - \tilde{\Gamma}^i\). More...
#include <TempTags.hpp>
Public Types | |
| using | type = tnsr::I< DataType, Dim, Frame > |
The CCZ4 temporary expression \(\hat{\Gamma}^i - \tilde{\Gamma}^i\).
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.