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

The gradient of the gradient of the lapse. More...

#include <Tags.hpp>

Public Types

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

Detailed Description

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

The gradient of the gradient of the lapse.

Details

We define:

\begin{align} \nabla_i \nabla_j \alpha &= \alpha A_i A_j - \alpha \Gamma^k{}_{ij} A_k + \alpha \partial_{(i} A_{j)} \end{align}

where \(\alpha\), \(\Gamma^k{}_{ij}\), \(A_i\), and \(\partial_j A_i\) are the lapse, spatial christoffel symbols of the second kind, the CCZ4 auxiliary variable defined by Ccz4::Tags::FieldA, and its spatial derivative, respectively.


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