  In this paper, we consider the evolution of accretion disks of a rotating
BIon in a Rindler space-time. This space-time emerges because of the
acceleration of the disks in a BIon. A BIon is constructed from a pair of
accretion disks that are connected by a wormhole. We will show that in a
rotating BIon, by increasing the rotation velocity, the area of one accretion
disk grows, while the area of the other shrinks. Also, we consider four types
of accreion disks which are produced in a Rindler space-time.
