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SUMMARY:Stability\, Instability\, Canonical Energy and Charged Black Holes
  - Joe Keir (DAMTP)
DTSTART:20130531T120000Z
DTEND:20130531T130000Z
UID:TALK44527@talks.cam.ac.uk
CONTACT:Dr Joan Camps
DESCRIPTION:The subtle nature of energy in General Relativity means that n
 aive attempts to use energy to study stability or instability are bound to
  fail. On the other hand\, at the linear level\, in an asymptotically flat
  background\, an energy-type quantity can be constructed whose positivity 
 properties are linked to the stability of the background. This was done in
  a recent paper by Hollands and Wald.\n\nI will present a generalization o
 f this work to the case where matter and charge are present. In the first 
 part of the talk I will briefly discuss the covariant phase-space derivati
 on of the first law in the theory under consideration\, as this arises nat
 urally through the construction of Hollands and Wald. Next I will construc
 t the appropriate "energy"\, and discuss the properties which make it appr
 opriate for the study of stability. One of the key properties is the posit
 ivity of the flux of this energy across null infinity\, but in order to di
 scuss this\, an appropriate notion of "asymptotic flatness" must be given\
 , and its (linear) stability established\; an indication of how this is do
 ne will be given in the next part of my talk. Finally\, I will discuss an 
 application of this work to charged black branes\, which establishes that\
 , if the brane is thermodynamically unstable and sufficiently extended\, t
 hen it is classically unstable.
LOCATION:Pavilion B Potter Room (B1.19)
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