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In this thesis, I have considered the scenario of the accretion of phantom energy onto various types of black holes. The phantom energy is a strange kind of energy existing in the universe that drives the cosmic accelerated expansion. Among various black holes, we have chosen the following for our study: Schwarzschild, RiessnerNordstrom, primordial and BTZ black holes. I also discuss various possibilities of phantom energy as viscous Chaplygin gas and modified variable Chaplygin gas.
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