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Paper   IPM / P / 12688
School of Physics
  Title:   The Spherical Perfect Fluid Collapse in the Cosmological Background
1.  R. Moradi
2.  J. Taghizadeh Firouzjaee
3.  R. Mansouri
  Status:   Preprint
  Year:  2013
  Supported by:  IPM
We have constructed a spherically symmetric structure model within an otherwise FRW universe filled with perfect fluid and studied its quasi-local 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 space-like apparent horizon, the limiting case of the dynamical horizon tending to a slowly evolving horizon, and the decreasing mass in-fall to the black hole. The quasi-local 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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