Numerical estimation of the escaping flux of massless particles created in collisions around a Kerr black hole

Understand

The geodesics of massless particles produced in collisions near a rotating black hole are solved numerically and a Monte Carlo integration of the momentum distribution of the massless particles is performed to calculate the fraction that escape the black hole to infinity.

• A distribution of in falling dark matter particles, which are assumed to annihilate to massless particles, is considered and an estimate of the emergent flux from the collisions is made.
• The energy spectrum of the emergent particles is found to contain two Lorentz shifted peaks centred on the mass of the dark matter.
• The separation of the peaks is found to depend on the density profile of the dark matter and could provide information about the size of the annihilation plateau around a black hole and the mass of the dark matter particle.