Problem44_56 - may be solved by separation of variables as ln H R dt d R dt dR = = and integrating both sides with respect to time e A constant H

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44.56: a) For this model, , so , H R HR R dt dR HR dt dR = = = presumed to be the same for all points on the surface. b) For constant , θ . Hr HR dt dR dt dr = = = c) See part (a), . 0 R dt dR H = d) The equation R H dt dR 0 = is a differential equation, the solution to which, for constant , ) is 0 0 0 t H e R R(t H = where 0 R is the value of R at 0 = t . This equation
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Unformatted text preview: may be solved by separation of variables, as ) ( ln H R dt d R dt dR = = and integrating both sides with respect to time. e) A constant H would mean a constant critical density, which is inconsistent with uniform expansion....
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This note was uploaded on 02/23/2009 for the course PHYSICS 750:116 taught by Professor Brahmia during the Spring '09 term at Rutgers.

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