gr::Solutions::Minkowski< Dim > Class Template Reference

The Minkowski solution for flat space in Dim spatial dimensions. More...

#include <Minkowski.hpp>

Public Types
using	options = tmpl::list<>
template<typename DataType>
using	DerivLapse
template<typename DataType>
using	DerivShift
template<typename DataType>
using	DerivSpatialMetric
template<typename DataType, typename Frame = Frame::Inertial>
using	tags
Public Types inherited from gr::AnalyticSolution< Dim >
template<typename DataType, typename Frame = ::Frame::Inertial>
using	DerivLapse
template<typename DataType, typename Frame = ::Frame::Inertial>
using	DerivShift
template<typename DataType, typename Frame = ::Frame::Inertial>
using	DerivSpatialMetric
template<typename DataType, typename Frame = ::Frame::Inertial>
using	tags

Public Member Functions
	Minkowski (const Minkowski &)=default
Minkowski &	operator= (const Minkowski &)=default
	Minkowski (Minkowski &&)=default
Minkowski &	operator= (Minkowski &&)=default
	Minkowski (CkMigrateMessage *)
template<typename DataType, typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< Tags... >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::Lapse< DataType > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list< gr::Tags::Lapse< DataType > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::dt< gr::Tags::Lapse< DataType > > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list<::Tags::dt< gr::Tags::Lapse< DataType > > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< Dim >, Frame::Inertial > >	variables (const tnsr::I< DataType, Dim > &x, double t, tmpl::list<::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< Dim >, Frame::Inertial > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::Shift< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::Shift< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::dt< gr::Tags::Shift< DataType, Dim > > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list<::Tags::dt< gr::Tags::Shift< DataType, Dim > > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::deriv< gr::Tags::Shift< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list<::Tags::deriv< gr::Tags::Shift< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::SpatialMetric< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::SpatialMetric< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::dt< gr::Tags::SpatialMetric< DataType, Dim > > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list<::Tags::dt< gr::Tags::SpatialMetric< DataType, Dim > > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::deriv< gr::Tags::SpatialMetric< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list<::Tags::deriv< gr::Tags::SpatialMetric< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::InverseSpatialMetric< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::InverseSpatialMetric< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::ExtrinsicCurvature< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::ExtrinsicCurvature< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::SqrtDetSpatialMetric< DataType > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::SqrtDetSpatialMetric< DataType > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::DerivDetSpatialMetric< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::DerivDetSpatialMetric< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple<::Tags::dt< gr::Tags::SqrtDetSpatialMetric< DataType > > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list<::Tags::dt< gr::Tags::SqrtDetSpatialMetric< DataType > > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::TraceExtrinsicCurvature< DataType > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::TraceExtrinsicCurvature< DataType > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::SpatialChristoffelFirstKind< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::SpatialChristoffelFirstKind< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::SpatialChristoffelSecondKind< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::SpatialChristoffelSecondKind< DataType, Dim > >) const
template<typename DataType>
tuples::TaggedTuple< gr::Tags::TraceSpatialChristoffelSecondKind< DataType, Dim > >	variables (const tnsr::I< DataType, Dim > &x, double, tmpl::list< gr::Tags::TraceSpatialChristoffelSecondKind< DataType, Dim > >) const
void	pup (PUP::er &)

Static Public Attributes
static constexpr Options::String	help
Static Public Attributes inherited from gr::AnalyticSolution< Dim >
static constexpr size_t	volume_dim = Dim

Detailed Description

template<size_t Dim>
class gr::Solutions::Minkowski< Dim >

The Minkowski solution for flat space in Dim spatial dimensions.

Details

The solution has lapse \(N(x,t)= 1 \), shift \(N^i(x,t) = 0 \) and the identity as the spatial metric: \(g_{ii} = 1 \)

Member Typedef Documentation

DerivLapse

template<size_t Dim>

template<typename DataType>

using gr::Solutions::Minkowski< Dim >::DerivLapse

Initial value:

 ::Tags::deriv<gr::Tags::Lapse<DataType>, tmpl::size_t<Dim>,
                                   Frame::Inertial>

DerivShift

template<size_t Dim>

template<typename DataType>

using gr::Solutions::Minkowski< Dim >::DerivShift

Initial value:

 ::Tags::deriv<gr::Tags::Shift<DataType, Dim>,
                                   tmpl::size_t<Dim>, Frame::Inertial>

DerivSpatialMetric

template<size_t Dim>

template<typename DataType>

using gr::Solutions::Minkowski< Dim >::DerivSpatialMetric

Initial value:

 
      ::Tags::deriv<gr::Tags::SpatialMetric<DataType, Dim>, tmpl::size_t<Dim>,
                    Frame::Inertial>

tags

template<size_t Dim>

template<typename DataType, typename Frame = Frame::Inertial>

using gr::Solutions::Minkowski< Dim >::tags

Initial value:

 tmpl::flatten<tmpl::list<
      typename AnalyticSolution<Dim>::template tags<DataType, Frame>,
      gr::Tags::DerivDetSpatialMetric<DataType, Dim, Frame>,
      gr::Tags::TraceExtrinsicCurvature<DataType>,
      gr::Tags::SpatialChristoffelFirstKind<DataType, Dim, Frame>,
      gr::Tags::SpatialChristoffelSecondKind<DataType, Dim, Frame>,
      gr::Tags::TraceSpatialChristoffelSecondKind<DataType, Dim, Frame>>>

Member Data Documentation

help

template<size_t Dim>

Options::String gr::Solutions::Minkowski< Dim >::help

staticconstexpr

Initial value:

{
      "Minkowski solution to Einstein's Equations"}

---

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

• src/PointwiseFunctions/AnalyticSolutions/GeneralRelativity/Minkowski.hpp