Holography in (2 + 1)−dimensional Cosmological Model with Generalized Equation of State

In this paper we examine the cosmic holographic principle suggested by Fischler and Susskind ( 1998 ) in (2 + 1)−dimensional cosmological models by using generalized equation of state of a more general form, p = ( γ −1)( ρ + ρ 0 ), where γ and ρ 0 are two parameters. It is shown that the holographic principle is satisfied in all flat and open universes. For (2 + 1)−dimensional closed universe by applying the method proposed by Kaloper, N. and Linde, A. Phys. Rev. D 60 , 103509 ( 1999 ), we find that the holographic principle cannot be realized in general.