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Paper IPM / P / 12688  


Abstract:  
We have constructed a spherically symmetric structure model within an otherwise FRW universe filled with perfect fluid and studied its quasilocal characteristics. This is done by using the Lemaître solution of the Einstein equations and by suggesting an algorithm to integrate it numerically. The result shows how a dynamical black hole evolves within the FRW universe, its decoupling from the expanding parts of the model, the structure of its spacelike apparent horizon, the limiting case of the dynamical horizon tending to a slowly evolving horizon, and the decreasing mass infall to the black hole. The quasilocal features of this cosmological black hole may not be inferred from the Newtonian approximation although the gravity outside the structure is very weak.
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