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Stability of Hawking Mass

  1. Jun 19, 2014 #1
    What is stability of Hawking Mass and how to calculate it? Any references will be appreciated. Thanks
     
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  3. Jun 19, 2014 #2

    PeterDonis

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    What is "Hawking mass"? Do you have a reference for this term? It doesn't seem to be a standard term in physics.
     
  4. Jun 19, 2014 #3

    Bill_K

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  5. Jun 19, 2014 #4

    PeterDonis

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  6. Jun 20, 2014 #5
    So, what should I do now?
     
  7. Jun 20, 2014 #6

    Bill_K

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    Here's a couple more references.

    This one goes into more theoretical detail, and mentions several other related quantities:
    http://relativity.livingreviews.org/open?pubNo=lrr-2009-4&page=articlesu40.html [Broken]

    This one calculates the Hawking energy for Schwarzschild exactly, and numerically for Kerr:
    http://www.diva-portal.org/smash/get/diva2:19868/FULLTEXT01.pdf

    You might tell us more specifics about your interest in the Hawking energy.
     
    Last edited by a moderator: May 6, 2017
  8. Jun 20, 2014 #7
    Thank you so much for the references.

    I want to know what we talk about when we talk about stability of Hawking energy?
    How can we know the Hawking energy is stable?
     
  9. Jun 20, 2014 #8

    PAllen

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    What do you mean by stability?
     
  10. Jun 20, 2014 #9
    For example:

    szv62x.jpg

    Source:
    page 8
     

    Attached Files:

  11. Jun 21, 2014 #10

    Haelfix

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    The above text refers to calculations done on the moduli space of a particular (lower dimensional) supergravity theory. The Hawking mass, is a *classical* quasi-local quantity.

    Stability for the former, involves (amongst other things) seeing when the (super)potential goes negative (which would destabilize the quantum vacuum) or eg if it falls of a cliff, stability for the latter is going to require more input by you, b/c its not obvious what 'stability' means in that context mathematically (the quantity may readily be negative for instance).
     
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