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SpECTRE
v2024.09.16
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Identity which is analytically negative one half the spatial derivative of the inverse conformal spatial metric. More...
#include <Tags.hpp>
Public Types | |
| using | type = tnsr::iJJ< DataType, Dim, Frame > |
Identity which is analytically negative one half the spatial derivative of the inverse conformal spatial metric.
We define:
\begin{align} D_k{}^{ij} &= \tilde{\gamma}^{in} \tilde{\gamma}^{mj} D_{knm} = -\frac{1}{2} \partial_k \tilde{\gamma}^{ij} \end{align}
where \(\tilde{\gamma}^{ij}\) and \(D_{ijk}\) are the inverse conformal spatial metric and the CCZ4 auxiliary variable defined by Ccz4::Tags::FieldD, respectively.