gr::AnalyticData::BrillLindquist Class Reference

Brill Lindquist data [34] corresponding to two black holes momentarily at rest. More...

#include <BrillLindquist.hpp>

Classes
struct	CenterA
struct	CenterB
class	IntermediateComputer
	Computes the intermediates and quantities that we do not want to recompute across the solution's implementation. More...
class	IntermediateVars
	Computes and returns spacetime quantities of interest. More...
struct	internal_tags
	Tags defined for intermediates specific to BrillLindquist data. More...
struct	MassA
struct	MassB

Public Types
using	options = tmpl::list<MassA, MassB, CenterA, CenterB>
template<typename DataType, typename Frame>
using	DerivSpatialMetric
template<typename DataType, typename Frame>
using	CachedBuffer
	Buffer for caching computed intermediates and quantities that we do not want to recompute across the solution's implementation.
Public Types inherited from gr::AnalyticDataBase< 3 >
using	DerivLapse
using	DerivShift
using	DerivSpatialMetric
using	tags

Public Member Functions
	BrillLindquist (double mass_a, double mass_b, const std::array< double, 3 > &center_a, const std::array< double, 3 > &center_b, const Options::Context &context={})
	BrillLindquist (CkMigrateMessage *)
	BrillLindquist (const BrillLindquist &)=default
BrillLindquist &	operator= (const BrillLindquist &)=default
	BrillLindquist (BrillLindquist &&)=default
BrillLindquist &	operator= (BrillLindquist &&)=default
template<typename DataType, typename Frame, typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const tnsr::I< DataType, volume_dim, Frame > &x, tmpl::list< Tags... >) const
	Computes and returns spacetime quantities for BrillLindquist data at a specific Cartesian position.
void	pup (PUP::er &p)
double	mass_a () const
	Return the mass of black hole A.
double	mass_b () const
	Return the mass of black hole B.
const std::array< double, 3 > &	center_a () const
	Return the center of black hole A.
const std::array< double, 3 > &	center_b () const
	Return the center of black hole B.

Static Public Attributes
static constexpr Options::String	help
Static Public Attributes inherited from gr::AnalyticDataBase< 3 >
static constexpr size_t	volume_dim

Detailed Description

Brill Lindquist data [34] corresponding to two black holes momentarily at rest.

The spatial metric is given by \(\gamma_{ij} = \psi^4 \delta_{ij}\) where the conformal factor is given by \(\psi = 1 + \frac{m_A}{2 r_A} + \frac{m_B}{2 r_B}\) where \(m_{A,B}\) are the masses of the black holes and \(r_{A,B}\) are the positions of a point relative to the center of each black hole

The data is time symmetric ( \(K_{ij} = 0\)) and we arbitrarily choose unit lapse and zero shift.

Member Typedef Documentation

CachedBuffer

template<typename DataType, typename Frame>

using gr::AnalyticData::BrillLindquist::CachedBuffer

Initial value:

 
      CachedTempBuffer<internal_tags::x_minus_center_a<DataType, Frame>,
                       internal_tags::r_a<DataType>,
                       internal_tags::x_minus_center_b<DataType, Frame>,
                       internal_tags::r_b<DataType>,
                       internal_tags::conformal_factor<DataType>,
                       internal_tags::deriv_conformal_factor<DataType, Frame>,
                       gr::Tags::SpatialMetric<DataType, 3, Frame>,
                       DerivSpatialMetric<DataType, Frame>>

Buffer for caching computed intermediates and quantities that we do not want to recompute across the solution's implementation.

Details

See internal_tags documentation for details on what quantities the internal tags represent

DerivSpatialMetric

template<typename DataType, typename Frame>

using gr::AnalyticData::BrillLindquist::DerivSpatialMetric

Initial value:

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

Member Function Documentation

variables()

template<typename DataType, typename Frame, typename... Tags>

tuples::TaggedTuple< Tags... > gr::AnalyticData::BrillLindquist::variables ( const tnsr::I< DataType, volume_dim, Frame > & x, tmpl::list< Tags... >  ) const

inline

Computes and returns spacetime quantities for BrillLindquist data at a specific Cartesian position.

Parameters

x	Cartesian coordinates of the position at which to compute spacetime quantities

Member Data Documentation

help

Options::String gr::AnalyticData::BrillLindquist::help

staticconstexpr

Initial value:

{
      "Brill-Lindquist data for two black holes"}

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

• src/PointwiseFunctions/AnalyticData/GeneralRelativity/BrillLindquist.hpp