Behaviour of matter close to the event horizon

Investigation of the behaviour of accreting matter close to the black hole event horizon is of fundamental importance in relativistic and high energy astrophysics because they provide the key features of the diagnostic spectra of the stellar mass and super-massive black holes. In this paper, we examine the terminal behaviour of general relativistic matter in multi-transonic, advective black hole accretion discs. We compute, for the first time we believe, the values of various dynamical and thermodynamic multi-transonic flow variables {\it extremely close} ($\le$ 0.01 $r_g$) to the event horizon and study the dependence of these variables on fundamental accretion parameters. Our calculation is useful for a better understanding of Hawking radiation from acoustic black holes.