  One of the important and famous topics in general theory of relativity and
gravitation is the problem of geodesic deviation and its related singularity
theorems. An interesting subject is the investigation of these concepts when
quantum effects are considered. Since, the definition of trajectory is not
possible in the framework of standard quantum mechanics (SQM), we investigate
the problem of geodesic equation and its related topics in the framework of
Bohmian quantum mechanics in which the definition of trajectory is possible. We
do this in a fixed background and we do not consider the back-reaction effects
of matter on the spacetime metric.
