Asymptotically FRW black holes
J.T. Firouzjaee, Reza Mansouri

TL;DR
This paper explores special LTB solutions representing collapsing regions in cosmological FRW models, analyzing their horizons, singularities, and differences from Schwarzschild black holes.
Contribution
It introduces specific LTB solutions for collapsing regions in FRW universes and examines their horizon structure and singularity properties.
Findings
Identified conditions for apparent and event horizons in these solutions.
Analyzed the strength and nakedness of central singularities.
Compared properties with classical Schwarzschild black holes.
Abstract
Application of concepts like black hole and event horizon in cosmological context are not trivial, as has been shown in the last decade. We introduce special solutions of the LTB family representing collapsing over-dense regions extending to an expanding closed, open, or flat FRW model asymptotically. We study the dynamics of the collapsing region, and its density profile. The question of the strength of the central singularity and its nakedness, as well as the existence of an apparent horizon and an event horizon is dealt with in detail. Differences to the Schwarzschild black hole are addressed.
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