calc_flux_intrinsic_swarzschild¶
- luminet.black_hole_math.calc_flux_intrinsic_swarzschild(bh_mass, r, acc)¶
Calculate the intrinsic flux of a photon.
The intrinsic flux is not redshift-corrected. Observed photons will have a flux that deviates from this by a factor of \(1/(1+z)^4\)
\[F_s = \frac{3 M \dot{M}}{8 \pi (r^* - 3) {r^*}^{5/2}} \left( \sqrt{r^*} - \sqrt{6} + \frac{\sqrt{3}}{2} \log \left( \frac{(\sqrt{r^*} + \sqrt{3})(\sqrt{6}-\sqrt{3})}{(\sqrt{6} + \sqrt{3})(\sqrt{r^*}-\sqrt{3})} \right) \right)\]where \(r^*=r/M\)
- Parameters:
r (float) – radius on the accretion disk (BH frame)
acc (float) – accretion rate
bh_mass (float) – mass of the black hole
- Returns:
float – Intrinsic flux of the photon \(F_s\)