Hawking–Penrose Black Hole Model. Large Emission Regime

In this paper, we propose a stochastic version of the Hawking–Penrose black hole model. We describe dynamics model as continuous-time Markov jump process quanta out and in hole. The average random satisfies deterministic picture accepted physical literature. Assuming that number is finite proposed consists two componentes: amount outside. representation allows us to apply large deviation theory study asymptotics probabilities rare events when grows infinity. provides explicitly rate functional for process. Its infimum over set all trajectories leading emission event attained on most probable trajectory. This trajectory solution highly nonlinear Hamiltonian system equations. Under condition stationarity fraction hole, found corresponding event.