GrSelfForce Namespace Reference

Items related to solving the gravitational self-force of a gravitating body in a Kerr background. More...

Namespaces
namespace	Tags
	Tags for the GrSelfForce system.

Classes
struct	FirstOrderSystem
	Gravitational self-force of a small gravitating body in a Kerr background. More...
struct	Fluxes
	Fluxes \(F^i\) for the gravitational self-force system. More...
struct	ModifyBoundaryData
	Adds or subtracts the singular field to/from the received data on element boundaries. More...
struct	Sources
	Source terms for the gravitational self-force system. More...

Typedefs
using	GradTensorType
	We're working with 4D tensors to represent the 10 independent components we're solving for, but we only take 2D spatial derivatives, so we define these mixed-dimension tensors for gradients and fluxes.
using	FluxTensorType
	We're working with 4D tensors to represent the 10 independent components we're solving for, but we only take 2D spatial derivatives, so we define these mixed-dimension tensors for gradients and fluxes.

Functions
void	fluxes (gsl::not_null< FluxTensorType * > flux, const Scalar< ComplexDataVector > &alpha, const GradTensorType &field_gradient)
	The first-order flux \(F^i=\{\partial_{r_\star}, \alpha \partial_\theta\}\Psi_m\).
void	fluxes_on_face (gsl::not_null< FluxTensorType * > flux, const Scalar< ComplexDataVector > &alpha, const tnsr::I< DataVector, 2 > &face_normal_vector, const tnsr::aa< ComplexDataVector, 3 > &field)
	The first-order flux on an element face \(F^i=\{n_{r_\star}, \alpha n_\theta\}\Psi_m\).
void	add_sources (gsl::not_null< tnsr::aa< ComplexDataVector, 3 > * > source, const tnsr::aaBB< ComplexDataVector, 3 > &beta, const tnsr::aaBB< ComplexDataVector, 3 > &gamma_rstar, const tnsr::aaBB< ComplexDataVector, 3 > &gamma_theta, const tnsr::aa< ComplexDataVector, 3 > &field, const FluxTensorType &flux)
	The source term \(\beta_{ab}^{cd} (\Psi_m)_{cd} + \gamma_{iab}^{cd} F^i_{cd}\).

Detailed Description

Items related to solving the gravitational self-force of a gravitating body in a Kerr background.

See also

GrSelfForce::FirstOrderSystem

Typedef Documentation

FluxTensorType

using GrSelfForce::FluxTensorType

Initial value:

 
    TensorMetafunctions::prepend_spatial_index<tnsr::aa<ComplexDataVector, 3>,
                                               2, UpLo::Up, Frame::Inertial>

We're working with 4D tensors to represent the 10 independent components we're solving for, but we only take 2D spatial derivatives, so we define these mixed-dimension tensors for gradients and fluxes.

GradTensorType

using GrSelfForce::GradTensorType

Initial value:

 
    TensorMetafunctions::prepend_spatial_index<tnsr::aa<ComplexDataVector, 3>,
                                               2, UpLo::Lo, Frame::Inertial>

We're working with 4D tensors to represent the 10 independent components we're solving for, but we only take 2D spatial derivatives, so we define these mixed-dimension tensors for gradients and fluxes.