Brill Lindquist data [30] 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 = ::Tags::deriv< gr::Tags::SpatialMetric< DataType, volume_dim, Frame >, tmpl::size_t< volume_dim >, Frame >

template<typename DataType , typename Frame >
using	CachedBuffer = 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. More...

Public Types inherited from gr::AnalyticDataBase< 3 >
using	DerivLapse = ::Tags::deriv< gr::Tags::Lapse< DataType >, tmpl::size_t< volume_dim >, Frame >

using	DerivShift = ::Tags::deriv< gr::Tags::Shift< DataType, volume_dim, Frame >, tmpl::size_t< volume_dim >, Frame >

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

using	tags = tmpl::list< gr::Tags::Lapse< DataType >, ::Tags::dt< gr::Tags::Lapse< DataType > >, DerivLapse< DataType, Frame >, gr::Tags::Shift< DataType, volume_dim, Frame >, ::Tags::dt< gr::Tags::Shift< DataType, volume_dim, Frame > >, DerivShift< DataType, Frame >, gr::Tags::SpatialMetric< DataType, volume_dim, Frame >, ::Tags::dt< gr::Tags::SpatialMetric< DataType, volume_dim, Frame > >, DerivSpatialMetric< DataType, Frame >, gr::Tags::SqrtDetSpatialMetric< DataType >, gr::Tags::ExtrinsicCurvature< DataType, volume_dim, Frame >, gr::Tags::InverseSpatialMetric< DataType, volume_dim, Frame > >

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. More...

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 [30] 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 = 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

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

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

staticconstexpr

Initial value:

{

"Brill-Lindquist data for two black holes"}

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

src/PointwiseFunctions/AnalyticData/GeneralRelativity/BrillLindquist.hpp

Classes

Public Types

Public Member Functions

Static Public Attributes