In this paper, we investigate higher dimensional spherically symmetric perfect fluid collapse with positive cosmological constant. We take higher dimensional spherically symmetric metric in the interior region and higher dimensional Schwarzschild–de Sitter metric in the exterior region. The junction conditions between interior and exterior space-times are derived. We discuss the apparent horizons and their physical significance and conclude that the cosmological constant slows down the collapse of matter and hence limits the size of the black hole. This analysis gives the generalization of the four-dimensional perfect fluid collapse to higher dimensional perfect fluid collapse. We recover the results of the higher dimensional dust case (p=0).

PACS numbers: 04.50.–h, 04.50.Gh