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   sci.physics.research      Current physics research. (Moderated)      17,516 messages   

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   Message 16,162 of 17,516   
   Gregor Scholten to Sabbir Rahman   
   Re: A question about spherical gravitati   
   11 Jun 18 14:04:16   
   
   From: g.scholten@gmx.de   
      
   Sabbir Rahman wrote:   
      
   >> A very informative diagram of the gravitational-collapse process can   
   >> be found in figure 32.1c of Misner, Thorne, and Wheeler, "Gravitation"   
   >> (W. H. Freeman, 1973).   
   >> -- jt]]   
   >   
   > [Moderator's note:  There is a new edition of MTW out, at a reasonable   
   > price to boot.  -P.H.]   
   >   
   > Please note that the discussion of spherical collapse in Ch.32 of MTW   
   > does not address the issues I am raising here (if it did, there would   
   > have been no point in my raising them as they would already have been   
   > addressed!).   
   >   
   > Throughout that discussion in MTW, it is _assumed_ (without anywhere   
   > making that assumption explicit presumably because it is taken to be   
   > 'common sense') that the interior of the star and [the radial inward   
   > progression of] the Schwarzschild interior refer to the same   
   > (sub)manifold.   
      
   I just read again the chapters 32.4 and 32.5 of MTW, and in fact, they   
   write what I already explained: all the particles inside the collapsing   
   dust cloud fall simultanously towards the point r = 0, there is no   
   "encountering" of the outermost shell of particles and the more inner   
   shells.   
      
   In 32.4, they consider a dust cloud with zero pressure and argue that   
   the metric inside the cloud equals the Friedmann metric of a contracting   
   universe. And like there is no encountering of shells of galaxies in a   
   contracting universe, there is no encountering of shells of dust particles.   
      
   In 32.5, they consider a collapsing star with pressure gradient. They   
   write that the surface of the star is no longer free-falling due to the   
   forces caused by the pressure gradient, but that qualitatively seen the   
   process of collaps is like in the case of zero pressure.   
      
   So, I am really wondering what makes you think that the standard picture   
   would be that the outer shell of dust particles encounters the more   
   inner shells and sweep them along with it?   
      
   --- SoupGate-Win32 v1.05   
    * Origin: you cannot sedate... all the things you hate (1:229/2)   

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