The authors analyze formation and evolution of trapped surfaces during matter collapse in de Sitter spacetime and conclude that black hole and cosmological horizons develop as time evolution of marginally trapped surfaces.
Gravitational dust collapse with cosmological constant
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abstract
We study the fate of gravitational collapse in presence of a cosmological constant. The junctions conditions between static and non-static space-times are deduced. Three apparent horizon are formed, but only two have physical significance, one of them being the black hole horizon and the other the cosmological horizon. The cosmological constant term slows down the collapse of matter, limiting also the size of the black hole.
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Gravitational collapse of matter fields in de Sitter spacetimes
The authors analyze formation and evolution of trapped surfaces during matter collapse in de Sitter spacetime and conclude that black hole and cosmological horizons develop as time evolution of marginally trapped surfaces.