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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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