TL;DR
This paper classifies specific geodesics near black hole horizons, analyzes particle collisions along these paths, and discusses the potential for observing high-energy particles from black holes on Earth.
Contribution
It provides a classification of 'white hole' geodesics with energies E/m ≤ 1 for Schwarzschild and Kerr black holes and explores collision dynamics and observational prospects.
Findings
Classified all relevant geodesics near black hole horizons.
Derived formulas for energy increase in particle collisions.
Discussed the potential detection of high-energy particles from black holes.
Abstract
Geodesic completeness needs existence near the horizon of the black hole of "white hole" geodesics coming from the region inside of the horizon. Here we give the classification of all such geodesics with the energies for the Schwarzschild and Kerr's black hole. The collisions of particles moving along the "white hole" geodesics with those moving along "black hole" geodesics are considered. Formulas for the increase of the energy of collision in the centre of mass frame are obtained and the possibility of observation of high energy particles arriving from the black hole to the Earth is discussed.
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