SpECTRE  v2024.09.29
gh::Tags::Pi< DataType, Dim, Frame > Struct Template Reference

Conjugate momentum to the spacetime metric. More...

#include <Tags.hpp>

Public Types

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

Detailed Description

template<typename DataType, size_t Dim, typename Frame>
struct gh::Tags::Pi< DataType, Dim, Frame >

Conjugate momentum to the spacetime metric.

Details

If \( \psi_{ab} \) is the spacetime metric, and \( N \) and \( N^i \) are the lapse and shift respectively, then we define \( \Pi_{ab} = -\frac{1}{N} ( \partial_t \psi_{ab} + N^{i} \Phi_{iab} ) \) where \(\Phi_{iab}\) is the variable defined by the tag Phi.


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