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We have studied accretion of the dark matter and dark energy onto of$(n+2)$-dimensional Schwarzschild black hole and Morris-Thorne wormhole. Themass and the rate of change of mass for $(n+2)$-dimensional Schwarzschild blackhole and Morris-Thorne wormhole have been found. We have assumed somecandidates of dark energy like holographic dark energy, new agegraphic darkenergy, quintessence, tachyon, DBI-essence, etc. The black hole mass and thewormhole mass have been calculated in term of redshift when dark matter andabove types of dark energies accrete onto them separately. We have shown thatthe black hole mass increases and wormhole mass decreases for holographic darkenergy, new agegraphic dark energy, quintessence, tachyon accretion and theslope of increasing/decreasing of mass sensitively depends on the dimension.But for DBI-essence accretion, the black hole mass first increases and thendecreases and the wormhole mass first decreases and then increases and theslope of increasing/decreasing of mass not sensitively depends on thedimension.

Accretions of Dark Matter and Dark Energy onto ($n+2$)-dimensional Schwarzschild Black Hole and Morris-Thorne Wormhole