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 = implementation defined
template<typename DataType >
using	DerivLapse = ::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< Dim >, Frame::Inertial >
template<typename DataType >
using	DerivShift = ::Tags::deriv< gr::Tags::Shift< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial >
template<typename DataType >
using	DerivSpatialMetric = ::Tags::deriv< gr::Tags::SpatialMetric< DataType, Dim >, tmpl::size_t< Dim >, Frame::Inertial >
template<typename DataType , typename Frame = Frame::Inertial>
using	tags = implementation defined
Public Types inherited from gr::AnalyticSolution< Dim >
template<typename DataType , typename Frame = ::Frame::Inertial>
using	DerivLapse = ::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< volume_dim >, Frame >
template<typename DataType , typename Frame = ::Frame::Inertial>
using	DerivShift = ::Tags::deriv< gr::Tags::Shift< DataType, volume_dim, Frame >, tmpl::size_t< volume_dim >, Frame >
template<typename DataType , typename Frame = ::Frame::Inertial>
using	DerivSpatialMetric = ::Tags::deriv< gr::Tags::SpatialMetric< DataType, volume_dim, Frame >, tmpl::size_t< volume_dim >, Frame >
template<typename DataType , typename Frame = ::Frame::Inertial>
using	tags = implementation defined

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 Data Documentation

help

template<size_t Dim>

constexpr 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