Is the Hawking Mass Stable in Supergravity Theories?

[darida]

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

 

[PeterDonis]

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

 

[Bill_K]

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

https://en.wikipedia.org/wiki/Hawking_energy

 

[PeterDonis]

https://en.wikipedia.org/wiki/Hawking_energy

Ah, thanks! I wasn't aware of this.

 

[darida]

So, what should I do now?

 

[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&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.

 

[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?

 

[PAllen]

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?

 

[darida]

What do you mean by stability?

For example:

Source:
page 8

 

[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).