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Considering the definition of inertial forces acting on a test particle,following non-circular geodesics, in static and stationary space times we showthat the centrifugal force reversal occurs only in the case of particlesfollowing prograde orbits around black holes. We first rewrite the covariantexpressions for the acceleration components in terms of the lapse function,shift vector and the 3-metric $\gm_{ij}$, using the ADM 3+1 splitting and usethese, for different cases as given by pure radial motion, pure azimuthalmotion and the general non-circular motion. It is found that the reversaloccurs only when the azimuthal angular velocity of the particle supersedes theradial velocity, which indeed depends upon the physical parameters $E$, $l$ andthe Kerr parameter $a$.Comment: 16 Latex pages, 1 Table and 3 Figure

INERTIAL FORCES AS VIEWED FROM THE ADM SLICING AND THEIR BEHAVIOUR FOR PARTICLES IN NON-CIRCULAR GEODESICS