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Two pseudo-Newtonian potentials, which approximate the angular and epicyclicfrequencies of the relativistic accretion disk around rotating (and counterrotating) compact objects, are presented. One of them, the LogarithmicallyModified Potential, is a better approximation for the frequencies while theother, the Second-order Expanded potential, also reproduces the specific energyfor circular orbits in close agreement with the General Relativistic values.These potentials may be included in time dependent hydrodynamical simulationsto study the temporal behavior of such accretion disks.Comment: 9 Latex pages including 5 figures and 1 table; Accepted for  publication in Astrophysical Journa

Pseudo‐Newtonian Potentials to Describe the Temporal Effects on Relativistic Accretion Disks around Rotating Black Holes and Neutron Stars