  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.
