... 000, 000­000 (0000) Printed 10 August 2005 A (MN L TEX style file v2.2) The effect of a finite mass reservoir on the collapse of spherical isothermal clouds and the evolution of protostellar accretion E. I. Vorobyov 1 2 1, 2 Department of Physics and Astronomy, University of Western Ontario, London, Ontario, N6A 3K7, Canada Institute ... November 1, 2004 Motivated by recent observations which detect an outer boundary for starless cores, and evidence for time-dependent mass ...