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

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 >
 

Detailed Description

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

Identity which is analytically negative one half the spatial derivative of the inverse conformal spatial metric.

Details

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.


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