Is the Hawking Mass Stable in Supergravity Theories?

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Discussion Overview

The discussion revolves around the concept of Hawking mass and its stability within the context of supergravity theories. Participants inquire about the definition, calculation methods, and implications of stability related to Hawking energy, exploring both theoretical and mathematical aspects.

Discussion Character

  • Exploratory
  • Technical explanation
  • Conceptual clarification
  • Debate/contested

Main Points Raised

  • One participant asks for clarification on the stability of Hawking mass and how to calculate it, seeking references.
  • Several participants express confusion over the term "Hawking mass," questioning its standard usage in physics and providing links to related concepts like Hawking energy.
  • Another participant shares additional references that delve into theoretical details and calculations of Hawking energy for specific black hole types.
  • Questions arise about what is meant by "stability" in the context of Hawking energy, with requests for clarification on its implications and definitions.
  • A later reply discusses the stability of Hawking mass as a classical quasi-local quantity, mentioning the need for further input to understand its mathematical stability, particularly in relation to supergravity theories.

Areas of Agreement / Disagreement

Participants express varying levels of understanding regarding the term "Hawking mass" and its stability, indicating that there is no consensus on its definition or implications. Multiple competing views and uncertainties remain regarding the concept of stability in this context.

Contextual Notes

Limitations include the lack of clarity on the definitions of "Hawking mass" and "stability," as well as the dependence on specific theoretical frameworks and mathematical interpretations that have not been fully resolved in the discussion.

darida
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What is stability of Hawking Mass and how to calculate it? Any references will be appreciated. Thanks
 
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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.
 
So, what should I do now?
 
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

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.
 
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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?
 
darida said:
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?

What do you mean by stability?
 
PAllen said:
What do you mean by stability?

For example:

szv62x.jpg


Source:
page 8
 

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  • #10
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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