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 = 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.

using	FluxTensorType = 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.

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.

Namespaces