Accretion of Dark Energy onto Higher Dimensional Charged BTZ Black Hole
  In this work, we have studied the accretion of $(n+2)$-dimensional charged
BTZ black hole (BH). The critical point and square speed of sound have been
obtained. The mass of the BTZ BH has been calculated and we have observed that
the mass of the BTZ BH is related with square root of the energy density of
dark energy which accretes onto BH in our accelerating FRW universe. We have
assumed modified Chaplygin gas (MCG) as a candidate of dark energy which
accretes onto BH and we have found the expression of BTZ BH mass. Since in our
solution of MCG, this model generates only quintessence dark energy (not
phantom) and so BTZ BH mass increases during the whole evolution of the
accelerating universe. Next we have assumed 5 kinds of parametrizations of well
known dark energy models. These models generate both quintessence and phantom
scenarios i.e., phantom crossing models. So if these dark energies accrete onto
the BTZ BH, then in quintessence stage, BH mass increases upto a certain value
(finite value) and then decreases to a certain finite value for phantom stage
during whole evolution of the universe. We have shown these results
graphically.
