gr::Solutions::TovSolution Class Reference

TOV solver based on Lindblom's method. More...

#include <Tov.hpp>

Public Member Functions
	TovSolution (const EquationsOfState::EquationOfState< true, 1 > &equation_of_state, double central_mass_density, double log_enthalpy_at_outer_radius=0.0, double absolute_tolerance=1.0e-14, double relative_tolerance=1.0e-14)
	TovSolution (const TovSolution &)=delete
TovSolution &	operator= (const TovSolution &)=delete
	TovSolution (TovSolution &&) noexcept=default
TovSolution &	operator= (TovSolution &&) noexcept=default
double	outer_radius () const noexcept
	The outer radius of the solution. More...
double	mass_over_radius (double r) const noexcept
	The mass inside the given radius over the radius \(\frac{m(r)}{r}\). More...
double	mass (double r) const noexcept
	The mass inside the given radius \(m(r)\). More...
double	log_specific_enthalpy (double r) const noexcept
	The log of the specific enthalpy at the given radius. More...
template<typename DataType >
RelativisticEuler::Solutions::TovStar< TovSolution >::RadialVariables< DataType >	radial_variables (const EquationsOfState::EquationOfState< true, 1 > &equation_of_state, const tnsr::I< DataType, 3 > &x) const noexcept
	The radial variables from which the hydrodynamic quantities and spacetime metric can be computed. More...
void	pup (PUP::er &p) noexcept

Detailed Description

TOV solver based on Lindblom's method.

Uses Lindblom's method of integrating the TOV equations from [73]

Instead of integrating \(m(r)\) and \(p(r)\) ( \(r\)=radius, \(m\)=mass, \(p\)=pressure) Lindblom introduces the variables \(u\) and \(v\), with \(u=r^{2}\) and \(v=m/r\). The integration is then done with the log of the specific enthalpy ( \(\mathrm{log}(h)\)) as the independent variable.

Lindblom's paper simply labels the independent variable as \(h\). The \(h\) in Lindblom's paper is NOT the specific enthalpy. Rather, Lindblom's \(h\) is in fact \(\mathrm{log}(h)\).

Member Function Documentation

log_specific_enthalpy()

double gr::Solutions::TovSolution::log_specific_enthalpy ( double  r ) const

noexcept

The log of the specific enthalpy at the given radius.

Note

r should be non-negative and not greater than outer_radius()

mass()

double gr::Solutions::TovSolution::mass ( double  r ) const

noexcept

The mass inside the given radius \(m(r)\).

Warning

When computing \(\frac{m(r)}{r}\), use the mass_over_radius function instead for greater accuracy.

Note

r should be non-negative and not greater than outer_radius()

mass_over_radius()

double gr::Solutions::TovSolution::mass_over_radius ( double  r ) const

noexcept

The mass inside the given radius over the radius \(\frac{m(r)}{r}\).

Note

r should be non-negative and not greater than outer_radius().

outer_radius()

double gr::Solutions::TovSolution::outer_radius ( ) const

noexcept

The outer radius of the solution.

Note

This is the radius at which log_specific_enthalpy is equal to the value of log_enthalpy_at_outer_radius that was given when constructing this TovSolution

radial_variables()

template<typename DataType >

RelativisticEuler::Solutions::TovStar< TovSolution >::RadialVariables< DataType > gr::Solutions::TovSolution::radial_variables ( const EquationsOfState::EquationOfState< true, 1 > &  equation_of_state, const tnsr::I< DataType, 3 > &  x  ) const

noexcept

The radial variables from which the hydrodynamic quantities and spacetime metric can be computed.

For radii greater than the outer_radius(), this returns the appropriate vacuum spacetime.

Note

This solution of the TOV equations is a function of areal radius.