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• W2051262023 endingPage "190" @default.
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• W2051262023 abstract "Molecular clouds often exhibit filamentary or sheet-like shapes. We compute the free-fall time ($tff$) for finite, uniform, self-gravitating circular sheets and filamentary clouds of small but finite thickness, so that their volume density $rho$ can still be defined. We find that, for thin sheets, the free-fall time is larger than that of a uniform sphere with the same volume density by a factor proportional to $sqrt{A}$, where the aspect ratio $A$ is given by $A=R/h$, $R$ being the sheet's radius and $h$ is its thickness. For filamentary clouds, the aspect ratio is defined as $A=L/calR$, where $L$ is the filament's half length and $calR$ is its (small) radius, and the modification factor is a more complicated, although in the limit of large $A$ it again reduces to nearly $sqrt{A}$. We propose that our result for filamentary shapes naturally explains the ubiquitous configuration of clumps fed by filaments observed in the densest structures of molecular clouds. Also, the longer free-fall times for non-spherical geometries in general may contribute towards partially alleviating the star-formation conundrum, namely, that the star formation rate in the Galaxy appears to be proceeding in a timescale much larger than the total molecular mass in the Galaxy divided by its typical free-fall time. If molecular clouds are in general formed by thin sheets and long filaments, then their relevant free-fall time may have been systematically underestimated, possibly by factors of up to one order of magnitude." @default.
• W2051262023 created "2016-06-24" @default.
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• W2051262023 date "2011-12-22" @default.
• W2051262023 modified "2023-10-16" @default.
• W2051262023 title "THE FREE-FALL TIME OF FINITE SHEETS AND FILAMENTS" @default.
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• W2051262023 doi "https://doi.org/10.1088/0004-637x/744/2/190" @default.
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