Cce::Solutions::TeukolskyWave Struct Reference

Computes the analytic data for a Teukolsky wave solution described in [11]. More...

#include <TeukolskyWave.hpp>

Classes
struct	Amplitude
struct	Duration
struct	ExtractionRadius

Public Types
using	options = tmpl::list<ExtractionRadius, Amplitude, Duration>
Public Types inherited from Cce::Solutions::WorldtubeData
using	creatable_classes
using	tags
	The set of available tags provided by the analytic solution.

Public Member Functions
	WRAPPED_PUPable_decl_template (TeukolskyWave)
	TeukolskyWave (CkMigrateMessage *msg)
	TeukolskyWave (double extraction_radius, double amplitude, double duration)
std::unique_ptr< WorldtubeData >	get_clone () const override
void	pup (PUP::er &p) override
Public Member Functions inherited from Cce::Solutions::SphericalMetricData
	WRAPPED_PUPable_abstract (SphericalMetricData)
	SphericalMetricData (CkMigrateMessage *msg)
	SphericalMetricData (const double extraction_radius)
void	jacobian (gsl::not_null< SphericaliCartesianJ * > jacobian, size_t l_max) const
void	inverse_jacobian (gsl::not_null< CartesianiSphericalJ * > inverse_jacobian, size_t l_max) const
void	dr_inverse_jacobian (gsl::not_null< CartesianiSphericalJ * > dr_inverse_jacobian, size_t l_max) const
void	pup (PUP::er &p) override
Public Member Functions inherited from Cce::Solutions::WorldtubeData
	WRAPPED_PUPable_abstract (WorldtubeData)
	WorldtubeData (const double extraction_radius)
	WorldtubeData (CkMigrateMessage *msg)
template<typename... Tags>
tuples::TaggedTuple< Tags... >	variables (const size_t output_l_max, const double time, tmpl::list< Tags... >) const
	Retrieve worldtube data represented by the analytic solution, at boundary angular resolution l_max and time time
void	pup (PUP::er &p) override
virtual std::unique_ptr< Cce::InitializeJ::InitializeJ< false > >	get_initialize_j (const double) const
virtual bool	use_noninertial_news () const

Static Public Attributes
static constexpr Options::String	help

Protected Member Functions
void	prepare_solution (const size_t, const double) const override
	A no-op as the Teukolsky wave solution does not have substantial shared computation to prepare before the separate component calculations.
void	spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > spherical_metric, size_t l_max, double time) const override
	Compute the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.
void	dr_spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dr_spherical_metric, size_t l_max, double time) const override
	Compute the radial derivative of the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.
void	dt_spherical_metric (gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dt_spherical_metric, size_t l_max, double time) const override
	Compute the time derivative of the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.
void	variables_impl (gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, -2 > > * > news, size_t l_max, double time, tmpl::type_< Tags::News >) const override
	Compute the news associated with the (2,0)-mode Teukolsky wave.
virtual void	variables_impl (gsl::not_null< tnsr::i< DataVector, 3 > * > cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::CauchyCartesianCoords >) const
virtual void	variables_impl (gsl::not_null< tnsr::i< DataVector, 3 > * > dr_cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::Dr< Tags::CauchyCartesianCoords > >) const
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > spacetime_metric, size_t output_l_max, double time, tmpl::type_< gr::Tags::SpacetimeMetric< DataVector, 3 > >) const=0
	Computes the Cartesian spacetime metric from the spherical solution provided by the derived classes.
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< DataVector, 3 > > >) const=0
virtual void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > pi, size_t output_l_max, double time, tmpl::type_< gh::Tags::Pi< DataVector, 3 > >) const
virtual void	variables_impl (gsl::not_null< tnsr::iaa< DataVector, 3 > * > d_spacetime_metric, size_t output_l_max, double time, tmpl::type_< gh::Tags::Phi< DataVector, 3 > >) const=0
	Computes the spatial derivatives of the Cartesian spacetime metric from the spherical solution provided by the derived classes.
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > spatial_metric, size_t output_l_max, double time, tmpl::type_< gr::Tags::SpatialMetric< DataVector, 3 > >) const
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > dt_spatial_metric, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpatialMetric< DataVector, 3 > > >) const
virtual void	variables_impl (gsl::not_null< tnsr::ii< DataVector, 3 > * > dr_spatial_metric, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::SpatialMetric< DataVector, 3 > > >) const
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > shift, size_t output_l_max, double time, tmpl::type_< gr::Tags::Shift< DataVector, 3 > >) const
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > dt_shift, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Shift< DataVector, 3 > > >) const
virtual void	variables_impl (gsl::not_null< tnsr::I< DataVector, 3 > * > dr_shift, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Shift< DataVector, 3 > > >) const
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > lapse, size_t output_l_max, double time, tmpl::type_< gr::Tags::Lapse< DataVector > >) const
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > dt_lapse, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Lapse< DataVector > > >) const
virtual void	variables_impl (gsl::not_null< Scalar< DataVector > * > dr_lapse, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Lapse< DataVector > > >) const
void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t l_max, double time, tmpl::type_< ::Tags::dt< gr::Tags::SpacetimeMetric< DataVector, 3 > > >) const override
	Computes the time derivative of the Cartesian spacetime metric from the spherical solution provided by the derived classes.
Protected Member Functions inherited from Cce::Solutions::SphericalMetricData
void	variables_impl (gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t l_max, double time, tmpl::type_< ::Tags::dt< gr::Tags::SpacetimeMetric< DataVector, 3 > > >) const override
	Computes the time derivative of the Cartesian spacetime metric from the spherical solution provided by the derived classes.
Protected Member Functions inherited from Cce::Solutions::WorldtubeData
template<typename Tag>
const auto &	cache_or_compute (const size_t output_l_max, const double time) const

Protected Attributes
double	amplitude_ = std::numeric_limits<double>::signaling_NaN()
double	duration_ = std::numeric_limits<double>::signaling_NaN()
Protected Attributes inherited from Cce::Solutions::WorldtubeData
IntermediateCacheTuple	intermediate_cache_
double	extraction_radius_ = std::numeric_limits<double>::quiet_NaN()

Additional Inherited Members
Static Public Member Functions inherited from Cce::Solutions::SphericalMetricData
static void	dr_jacobian (gsl::not_null< SphericaliCartesianJ * > dr_jacobian, size_t l_max)
Protected Types inherited from Cce::Solutions::WorldtubeData
using	IntermediateCacheTuple

Detailed Description

Computes the analytic data for a Teukolsky wave solution described in [11].

Details

This test computes an outgoing perturbative wave solution in spherical coordinates with wave profile

\[F(u) = A e^{- u^2 / k^2}. \]

Member Function Documentation

dr_spherical_metric()

void Cce::Solutions::TeukolskyWave::dr_spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dr_spherical_metric, size_t l_max, double time ) const

overrideprotectedvirtual

Compute the radial derivative of the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.

Details

The specific outgoing wave selected in this analytic solution is constructed from a (2,0) mode as in [11], and takes the form

\begin{align*}\partial_r g_{rr} &= f_{r r} \partial_r A \\ \partial_r g_{r \theta} &= f_{r \theta} (B + r \partial_r B)\\ \partial_r g_{\theta \theta} &= 2 (1 + C f_{\theta \theta}^{(C)} + A f_{\theta \theta}^{(A)}) r + (\partial_r C f_{\theta \theta}^{(C)} + \partial_r A f_{\theta \theta}^{(A)}) r^2 \\ \partial_r g_{\phi \phi} &= 2 (1 + C f_{\phi \phi}^{(C)} + A f_{\phi \phi}^{(A)}) r \sin^2 \theta + (\partial_r C f_{\phi \phi}^{(C)} + \partial_r A f_{\phi \phi}^{(A)}) r^2 \sin^2 \theta\\ \end{align*}

and all other components vanish. The angular factors \(f_{a b}\) and the metric component functions \(A, B,\) and \(C\) are defined as in TeukolskyWave::spherical_metric(). The radial derivatives of the pulse profile functions are obtained by:

\begin{align*}\partial_r A + \partial_t A &= \frac{-9 a e^{-u^2/k^2}}{k^4 r^6} \left( 5 k^4 + 4 r^2 u^2 - 2 k^2 r (r + 4 u)\right), \\ \partial_r B + \partial_t B &= \frac{2 a e^{-u^2/k^2}}{k^6 r^6} \left( 15 k^6 - 8 r^3 u^3 + 6 k^2 r^2 u (2 r + 3 u) - 3 k^4 r (3 r + 8 u)\right), \\ \partial_r C + \partial_t C &= \frac{-a e^{-u^2/k^2}}{4 k^8 r^6} \left( 105 k^8 + 16 k^4 u^4 - 16 k^2 r^3 u^2 (3 r + 2 u) - 6 k^6 r (9 r + 28 u) + 12 k^4 r^2 (r^2 + 4 r u + 9 u^2)\right), \end{align*}

and the time derivatives of the pulse profile functions are given in TeukolskyWave::dt_spherical_metric().

Note

The \(\phi\) components are returned in a form for which the \(\sin(\theta)\) factors are omitted, assuming that derivatives and Jacobians will be applied similarly omitting those factors (and therefore improving precision of the tensor expression). If you require the \(\sin(\theta)\) factors, be sure to put them in by hand in the calling code.

Implements Cce::Solutions::SphericalMetricData.

dt_spherical_metric()

void Cce::Solutions::TeukolskyWave::dt_spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > dt_spherical_metric, size_t l_max, double time ) const

overrideprotectedvirtual

Compute the time derivative of the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.

Details

The specific outgoing wave selected in this analytic solution is constructed from a (2,0) mode as in [11], and takes the form

\begin{align*}\partial_t g_{rr} &= f_{r r} \partial_t A \\ \partial_t g_{r \theta} &= f_{r \theta} r \partial_t B\\ \partial_t g_{\theta \theta} &= (\partial_t C f_{\theta \theta}^{(C)} + \partial_t A f_{\theta \theta}^{(A)}) r^2 \\ \partial_t g_{\phi \phi} &= (\partial_t C f_{\phi \phi}^{(C)} + \partial_t A f_{\phi \phi}^{(A)}) r^2 \sin^2 \theta\\ \end{align*}

and all other components vanish. The angular factors \(f_{a b}\) and the metric component functions \(A, B,\) and \(C\) are defined as in TeukolskyWave::spherical_metric(). The time derivatives of the pulse profile functions are:

\begin{align*}\partial_t A &= \frac{-2 u}{k^2} A + \frac{3 a e^{-u^2/k^2}}{k^4 r^5} \left( 8 r^2 u - 6 k^2 r \right), \\ \partial_t B &= \frac{-2 u}{k^2} B + \frac{2 a e^{-u^2/k^2}}{k^6 r^5} \left(12 r^3 u^2 - 6 k^2 r^2 (r + 2 u) + 6 k^4 r\right), \\ \partial_t C &= \frac{-2 u}{k^2} C + \frac{-a e^{-u^2/k^2}}{4 k^8 r^5} \left(64 k^4 u^3 - 16 k^2 r^3 u (6 r + 3 u) - 42 k^6 r + 12 k^4 r^2 (2 r + 6 u)\right), \end{align*}

Note

The \(\phi\) components are returned in a form for which the \(\sin(\theta)\) factors are omitted, assuming that derivatives and Jacobians will be applied similarly omitting those factors (and therefore improving precision of the tensor expression). If you require the \(\sin(\theta)\) factors, be sure to put them in by hand in the calling code.

Implements Cce::Solutions::SphericalMetricData.

get_clone()

std::unique_ptr< WorldtubeData > Cce::Solutions::TeukolskyWave::get_clone ( ) const

overridevirtual

Implements Cce::Solutions::WorldtubeData.

prepare_solution()

void Cce::Solutions::TeukolskyWave::prepare_solution ( const size_t , const double  ) const

inlineoverrideprotectedvirtual

A no-op as the Teukolsky wave solution does not have substantial shared computation to prepare before the separate component calculations.

Implements Cce::Solutions::WorldtubeData.

spherical_metric()

void Cce::Solutions::TeukolskyWave::spherical_metric ( gsl::not_null< tnsr::aa< DataVector, 3, ::Frame::Spherical<::Frame::Inertial > > * > spherical_metric, size_t l_max, double time ) const

overrideprotectedvirtual

Compute the spherical coordinate metric from the closed-form perturbative Teukolsky wave metric.

Details

The specific outgoing wave selected in this analytic solution is constructed from a (2,0) mode as in [11], and takes the form

\begin{align*}g_{tt} &= -1\\ g_{rr} &= (1 + A f_{rr}) \\ g_{r \theta} &= 2 B f_{r \theta} r\\ g_{\theta \theta} &= (1 + C f_{\theta \theta}^{(C)} + A f_{\theta \theta}^{(A)}) r^2\\ g_{\phi \phi} &= (1 + C f_{\phi \phi}^{(C)} + A f_{\phi \phi}^{(A)}) r^2 \sin^2 \theta\\ \end{align*}

and all other components vanish. The angular factors generated by the choice of spin-weighted spherical harmonic are

\begin{align*}f_{rr} &= 2 - 3 \sin^2 \theta \\ f_{r \theta} &= -3 \sin \theta \cos \theta \\ f_{\theta \theta}^{(C)} &= 3 \sin^2 \theta \\ f_{\theta \theta}^{(A)} &= -1 \\ f_{\phi \phi}^{(C)} &= - 3 \sin^2 \theta \\ f_{\phi \phi}^{(A)} &= 3 \sin^2 \theta -1, \end{align*}

the radial and time dependent factors are

\begin{align*}A &= 3 \left(\frac{\partial_u^2 F(u)}{r^3} + \frac{3 \partial_u F(u)}{r^4} + \frac{3 F(u)}{r^5} \right),\\ B &= - \left(\frac{\partial_u^3 F(u)}{r^2} + \frac{3 \partial_u^2 F(u)}{r^3} + \frac{6 \partial_uF(u)}{r^4} + \frac{6 F(u)}{r^5}\right), \\ C &= \frac{1}{4} \left(\frac{\partial_u^4 F(u)}{r} + \frac{2 \partial_u^3 F(u)}{r^2} + \frac{9 \partial_u^2 F(u)}{r^3} + \frac{21 \partial_u F(u)}{r^4} + \frac{21 F(u)}{r}\right), \end{align*}

and the pulse profile is

\[F(u) = a e^{-u^2 /k^2}. \]

So, the pulse profile factors expand to

\begin{align*}A &= \frac{3 a e^{-u^2/k^2}}{k^4 r^5} \left(3 k^4 + 4 r^2 u^2 - 2 k^2 r (r + 3 u)\right),\\ B &= \frac{2 a e^{-u^2/k^2}}{k^6 r^5} \left(-3 k^6 + 4 r^3 u^3 - 6 k^2 r^2 u (r + u) + 3 k^4 r (r + 2 u)\right), \\ C &= \frac{a e^{-u^2/k^2}}{4 k^8 r^5} \left(21 k^8 + 16 r^4 u^4 - 16 k^2 r^3 u^2 (3 r + u) - 6 k^6 r (3 r + 7 u) + 12 k^4 r^2 (r^2 + 2 r u + 3 u^2)\right), \end{align*}

Note

The \(\phi\) components are returned in a form for which the \(\sin(\theta)\) factors are omitted, assuming that derivatives and Jacobians will be applied similarly omitting those factors (and therefore improving precision of the tensor expression). If you require the \(\sin(\theta)\) factors, be sure to put them in by hand in the calling code.

Implements Cce::Solutions::SphericalMetricData.

variables_impl() [1/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * > dr_lapse, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Lapse< DataVector > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [2/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * > dt_lapse, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Lapse< DataVector > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [3/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< Scalar< DataVector > * > lapse, size_t output_l_max, double time, tmpl::type_< gr::Tags::Lapse< DataVector > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [4/17]

void Cce::Solutions::TeukolskyWave::variables_impl ( gsl::not_null< Scalar< SpinWeighted< ComplexDataVector, -2 > > * > news, size_t l_max, double time, tmpl::type_< Tags::News >  ) const

overrideprotectedvirtual

Compute the news associated with the (2,0)-mode Teukolsky wave.

Details

The value of the news is

\begin{align*}N = \frac{3 \sin^2 \theta}{4} \partial_u^5 F(u) \end{align*}

where \(F(u)\) is the pulse profile, taken to be

\[F(u) = a e^{-u^2 /k^2}, \]

So, the news expands to

\[N = -\frac{6 a e^{-u^2/k^2} u}{k^{10}} \left(15 k^4 - 20 k^2 u^2 + 4 u^4\right) \]

in this analytic solution.

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [5/17]

void Cce::Solutions::SphericalMetricData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t l_max, double time, tmpl::type_< ::Tags::dt< gr::Tags::SpacetimeMetric< DataVector, 3 > > >  ) const

overrideprotected

Computes the time derivative of the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide the time derivative of the spherical metric data via the virtual function SphericalMetricData::dt_spherical_metric() at a resolution determined by the l_max argument. This function performs the coordinate transformation using the Jacobian computed from SphericalMetricData::inverse_jacobian().

variables_impl() [6/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * > dt_spacetime_metric, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpacetimeMetric< DataVector, 3 > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [7/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * > pi, size_t output_l_max, double time, tmpl::type_< gh::Tags::Pi< DataVector, 3 > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [8/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::aa< DataVector, 3 > * > spacetime_metric, size_t l_max, double time, tmpl::type_< gr::Tags::SpacetimeMetric< DataVector, 3 > >  ) const

protectedvirtual

Computes the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide spherical metric data via the virtual function SphericalMetricData::spherical_metric() at a resolution determined by the l_max argument. This function performs the coordinate transformation using the Jacobian computed from SphericalMetricData::inverse_jacobian().

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [9/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::i< DataVector, 3 > * > cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::CauchyCartesianCoords >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [10/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::i< DataVector, 3 > * > dr_cartesian_coordinates, size_t output_l_max, double time, tmpl::type_< Tags::Dr< Tags::CauchyCartesianCoords > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [11/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * > dr_shift, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::Shift< DataVector, 3 > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [12/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * > dt_shift, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::Shift< DataVector, 3 > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [13/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::I< DataVector, 3 > * > shift, size_t output_l_max, double time, tmpl::type_< gr::Tags::Shift< DataVector, 3 > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [14/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::iaa< DataVector, 3 > * > d_spacetime_metric, size_t l_max, double time, tmpl::type_< gh::Tags::Phi< DataVector, 3 > >  ) const

protectedvirtual

Computes the spatial derivatives of the Cartesian spacetime metric from the spherical solution provided by the derived classes.

Details

The derived classes provide the radial derivative of the spherical metric data via the virtual function SphericalMetricData::dr_spherical_metric() at a resolution determined by the l_max_ argument. This function performs the additional angular derivatives necessary to assemble the full spatial derivative and performs the coordinate transformation to Cartesian coordinates via the Jacobians computed in SphericalMetricData::inverse_jacobian() and SphericalMetricData::inverse_jacobian().

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [15/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * > dr_spatial_metric, size_t output_l_max, double time, tmpl::type_< Tags::Dr< gr::Tags::SpatialMetric< DataVector, 3 > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [16/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * > dt_spatial_metric, size_t output_l_max, double time, tmpl::type_<::Tags::dt< gr::Tags::SpatialMetric< DataVector, 3 > > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

variables_impl() [17/17]

virtual void Cce::Solutions::WorldtubeData::variables_impl ( gsl::not_null< tnsr::ii< DataVector, 3 > * > spatial_metric, size_t output_l_max, double time, tmpl::type_< gr::Tags::SpatialMetric< DataVector, 3 > >  ) const

protectedvirtual

Reimplemented from Cce::Solutions::SphericalMetricData.

Member Data Documentation

help

Options::String Cce::Solutions::TeukolskyWave::help

staticconstexpr

Initial value:

{
      "An analytic solution derived from the linearized Teukolsky equation"}

---

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

• src/Evolution/Systems/Cce/AnalyticSolutions/TeukolskyWave.hpp