Kerr Class Reference

Kerr Quantities Class. More...

#include <Globals.h>

Static Public Member Functions
static Real	rplus (const Real a)
static Real	rminus (const Real a)
static Real	rstar (const Real r, const Real a)
static Real	Delta (const Real r, const Real a)
static Real	dr_Delta (const Real r)
static Real	ddr_Delta ()
static Real	Sigma (const Real r, const Real a, const Real z)
static Real	dr_Sigma (const Real r)
static Real	ddr_Sigma ()
static Real	Eeqpro (const Real r, const Real a)
static Real	Eeqret (const Real r, const Real a)
static Real	Lzeqpro (const Real r, const Real a)
static Real	Lzeqret (const Real r, const Real a)
static Real	Omega_phi_eqpro (const Real r, const Real a)
static Real	Omega_phi_eqret (const Real r, const Real a)
static Real	isco_pro (const Real a)
static Real	isco_ret (const Real a)

Detailed Description

Kerr Quantities Class.

This is a simple container class for a collection of useful simply static functions that pop up over and over again when studying Kerr black hole orbits.

Member Function Documentation

ddr_Delta()

static Real Kerr::ddr_Delta ( )

inlinestatic

All right, so this one's kind of silly ...d^2/dr^2 = 2

ddr_Sigma()

static Real Kerr::ddr_Sigma ( )

inlinestatic

All right, so this one's kind of silly too ...d^2/dr^2 = 2

Delta()

static Real Kerr::Delta ( const Real  r, const Real  a  )

inlinestatic

\[ \Delta = r^2 - 2 M r + a^2 \]

dr_Delta()

static Real Kerr::dr_Delta ( const Real  r )

inlinestatic

\[ d\Delta/dr = 2 r - 2 M \]

dr_Sigma()

static Real Kerr::dr_Sigma ( const Real  r )

inlinestatic

d/dr = 2 r

rminus()

static Real Kerr::rminus ( const Real  a )

inlinestatic

\[ r_- = M - \sqrt{M^2 - a^2} \]

rplus()

static Real Kerr::rplus ( const Real  a )

inlinestatic

\[ r_+ = M + \sqrt{M^2 + a^2} \]

rstar()

static Real Kerr::rstar ( const Real  r, const Real  a  )

inlinestatic

\[ r^* = r + 2 r_+/(r_+ - r_-) \ln{(r - r_+)/2M} - 2 r_-/(r_+ - r_-) \ln{(r - r_-)/2M} \]

Sigma()

static Real Kerr::Sigma ( const Real  r, const Real  a, const Real  z  )

inlinestatic

\[ \Sigma = r^2 + a^2 \cos^2\theta \]

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

• include/Globals.h