gr Namespace Reference

Namespaces
	Solutions
	Classes which implement analytic solutions to Einstein's equations.

Classes
struct	AnalyticSolution
	Base struct for properties common to all GR analytic solutions. More...
class	KerrSchildCoords
	Contains helper functions for transforming tensors in Kerr spacetime to Kerr-Schild coordinates. More...

Typedefs
template<size_t Dim, typename DataType >
using	tags_for_hydro = tmpl::list< gr::Tags::Lapse< DataType >, gr::Tags::Shift< Dim, Frame::Inertial, DataType >, gr::Tags::SpatialMetric< Dim, Frame::Inertial, DataType >, gr::Tags::InverseSpatialMetric< Dim, Frame::Inertial, DataType >, gr::Tags::SqrtDetSpatialMetric< DataType >, ::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< Dim >, Frame::Inertial >, ::Tags::deriv< gr::Tags::Shift< Dim, Frame::Inertial, DataType >, tmpl::size_t< Dim >, Frame::Inertial >, ::Tags::deriv< gr::Tags::SpatialMetric< Dim, Frame::Inertial, DataType >, tmpl::size_t< Dim >, Frame::Inertial >, gr::Tags::ExtrinsicCurvature< Dim, Frame::Inertial, DataType > >
	GR Tags commonly needed for the evolution of hydro systems.
template<size_t Dim, typename DataType >
using	analytic_solution_tags = tmpl::list< gr::Tags::Lapse< DataType >, ::Tags::dt< gr::Tags::Lapse< DataType > >, ::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< Dim >, Frame::Inertial >, gr::Tags::Shift< Dim, Frame::Inertial, DataType >, ::Tags::dt< gr::Tags::Shift< Dim, Frame::Inertial, DataType > >, ::Tags::deriv< gr::Tags::Shift< Dim, Frame::Inertial, DataType >, tmpl::size_t< Dim >, Frame::Inertial >, gr::Tags::SpatialMetric< Dim, Frame::Inertial, DataType >, ::Tags::dt< gr::Tags::SpatialMetric< Dim, Frame::Inertial, DataType > >, ::Tags::deriv< gr::Tags::SpatialMetric< Dim, Frame::Inertial, DataType >, tmpl::size_t< Dim >, Frame::Inertial >, gr::Tags::SqrtDetSpatialMetric< DataType >, gr::Tags::ExtrinsicCurvature< Dim, Frame::Inertial, DataType >, gr::Tags::InverseSpatialMetric< Dim, Frame::Inertial, DataType > >
	The tags for the variables returned by GR analytic solutions.

Functions
bool	operator!= (const KerrSchildCoords &lhs, const KerrSchildCoords &rhs) noexcept

Detailed Description

Holds functions related to general relativity.

Function Documentation

spacetime_normal_one_form() [1/2]

template<size_t SpatialDim, typename Frame , typename DataType >

tnsr::a<DataType, SpatialDim, Frame> gr::spacetime_normal_one_form ( const Scalar< DataType > &  lapse )

noexcept

Computes spacetime normal one-form from lapse.

Details

If \(N\) is the lapse, then

\begin{align} n_t &= - N \\ n_i &= 0 \end{align}

is computed.

spacetime_normal_one_form() [2/2]

template<size_t SpatialDim, typename Frame , typename DataType >

void gr::spacetime_normal_one_form ( gsl::not_null< tnsr::a< DataType, SpatialDim, Frame > * >  normal_one_form, const Scalar< DataType > &  lapse  )

noexcept

Computes spacetime normal one-form from lapse.

Details

If \(N\) is the lapse, then

\begin{align} n_t &= - N \\ n_i &= 0 \end{align}

is computed.