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Gravitational perfect fluid collapse with cosmological constant. (English) Zbl 1140.83390

Summary: The effect of a positive cosmological constant on spherically symmetric collapse with perfect fluid has been investigated. The matching conditions between static exterior and non-static interior spacetimes are given in the presence of a cosmological constant. We also study the apparent horizons and their physical significance. It is concluded that the cosmological constant slows down the collapse of matter and hence limit the size of the black hole. This analysis gives the generalization of the dust case to the perfect fluid. We recover the results of the dust case for \(p=0\).


MSC:

83C75 Space-time singularities, cosmic censorship, etc.
83C55 Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.)