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Using a cosmological black hole model proposed recently, we have calculatedthe quasi-local mass of a collapsing structure within a cosmological settingdue to different definitions put forward in the last decades to see how similaror different they are. It has been shown that the mass within the horizonfollows the familiar Brown-York behavior. It increases, however, outside thehorizon again after a short decrease, in contrast to the Schwarzschild case.Further away, near the void, outside the collapsed region, and where thedensity reaches the background minimum, all the mass definitions roughlycoincide. They differ, however, substantially far from it. Generically, we arefaced with three different Brown-York mass maxima: near the horizon, around thevoid between the overdensity region and the background, and another atcosmological distances corresponding to the cosmological horizon. While thelatter two maxima are always present, the horizon mass maxima is absent beforethe onset of the central singularity.

Do we know the mass of a black hole? Mass of some cosmological black hole models