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Question regarding maximum accretion of black holes

  1. Apr 26, 2013 #1
    So I've got a question that I can't seem to figure out.

    If the accretion efficiency of a black hole is L=εM(dot)c2 with ε=0.1
    I have to set this to the Eddington luminosity which is Ledd = 4πcGMmpT to find the maximum rate at which a black hole can accrete by. I found that κ=mpT so I substituted that but then I got stuck. Has it got something to do with the accretion disk being optically thin? the answer should be M(dot)=κM but i can't figure out how to get it. help?
  2. jcsd
  3. Apr 27, 2013 #2


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    Try not assuming there is a maximum accretion rate.
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