gh::Tags::TraceExtrinsicCurvatureCompute< SpatialDim, Frame > Struct Template Reference

Compute item to get the trace of extrinsic curvature from generalized harmonic variables and the spacetime normal vector. More...

#include <ExtrinsicCurvature.hpp>

Public Types
using	argument_tags = implementation defined
using	return_type = Scalar< DataVector >
using	base = gr::Tags::TraceExtrinsicCurvature< DataVector >
Public Types inherited from gr::Tags::TraceExtrinsicCurvature< DataVector >
using	type = Scalar< DataVector >

Static Public Attributes
static constexpr auto	function

Detailed Description

template<size_t SpatialDim, typename Frame>
struct gh::Tags::TraceExtrinsicCurvatureCompute< SpatialDim, Frame >

Compute item to get the trace of extrinsic curvature from generalized harmonic variables and the spacetime normal vector.

Details

See extrinsic_curvature() for how the extrinsic curvature $K_{ij}$ is computed. Its trace is taken as

$$\begin{array}{}\text{(1)}& tr(K)& =g^{ij}{K}_{ij}.\end{array}$$

Can be retrieved using gr::Tags::TraceExtrinsicCurvature.

Member Data Documentation

function

template<size_t SpatialDim, typename Frame >

constexpr auto gh::Tags::TraceExtrinsicCurvatureCompute< SpatialDim, Frame >::function

staticconstexpr

Initial value:

=
      static_cast<void (*)(gsl::not_null<Scalar<DataVector>*>,
                           const tnsr::ii<DataVector, SpatialDim, Frame>&,
                           const tnsr::II<DataVector, SpatialDim, Frame>&)>(
          &trace)

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

• src/PointwiseFunctions/GeneralRelativity/GeneralizedHarmonic/ExtrinsicCurvature.hpp