By considering a deformation of the Schwarzschild metric in the presence of a minimal measurable length which still respects the equivalence principle, we study corrections to the standard general relativistic predictions for some astrophysical phenomena such as stability of circular orbits of black hole accretion disks, redshift of black hole accretion disks, gravitational tidal forces and the geodetic drift rate. We use the Gravity Probe Bdata to see robustness of our results. Our analysis shows also that the relevant deformation parameter εwhich has a geometric origin, plays the same role as the charge to mass ratio, emin the Reissner–Nordström metric.
