# Stability of Hawking Mass

1. Jun 19, 2014

### darida

What is stability of Hawking Mass and how to calculate it? Any references will be appreciated. Thanks

2. Jun 19, 2014

### Staff: Mentor

What is "Hawking mass"? Do you have a reference for this term? It doesn't seem to be a standard term in physics.

3. Jun 19, 2014

### Bill_K

4. Jun 19, 2014

### Staff: Mentor

5. Jun 20, 2014

### darida

So, what should I do now?

6. Jun 20, 2014

### Bill_K

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&amp;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
7. Jun 20, 2014

### darida

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?

8. Jun 20, 2014

### PAllen

What do you mean by stability?

9. Jun 20, 2014

### darida

For example:

Source:
page 8

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10. Jun 21, 2014

### Haelfix

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).