|COOKIES: By using this website you agree that we can place Google Analytics Cookies on your device for performance monitoring.|
Stability, Instability, Canonical Energy and Charged Black Holes
If you have a question about this talk, please contact Dr Joan Camps.
The subtle nature of energy in General Relativity means that naive 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.
I will present a generalization of 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 derivation of the first law in the theory under consideration, as this arises naturally through the construction of Hollands and Wald. Next I will construct the appropriate “energy”, and discuss the properties which make it appropriate for the study of stability. One of the key properties is the positivity of the flux of this energy across null infinity, but in order to discuss this, an appropriate notion of “asymptotic flatness” must be given, and its (linear) stability established; an indication of how this is done 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, then it is classically unstable.
This talk is part of the DAMTP Friday GR Seminar series.
This talk is included in these lists:
Note that ex-directory lists are not shown.
Other listsSemitic Philology Lecture 'Love and Revolution' reading group Mathematical Modeling
Other talksAre there limits to evolution? (Conference 25 & 26 September 2014) Noise in audio and electronics Conspiracy Theories in France and Italy during the Cold War and Decolonization Immunity and virulence in experimental malaria A rampage around my greenhouse Cambridge Public Policy Seminar: Title TBC