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SUMMARY:Stability of black holes and black branes - Stefan Hollands (Cardi
 ff)
DTSTART:20120309T130000Z
DTEND:20120309T140000Z
UID:TALK34757@talks.cam.ac.uk
CONTACT:Xingang Chen
DESCRIPTION:It is of considerable interest to know about the stability of 
 black hole (and black brane) solutions in general relativity including in 
 the presence of various matter fields\, or in higher dimensions. Unfortuna
 tely\, already the linear stability analysis of even the simplest backgrou
 nds\, such as the 4-dimensional Schwarzschild solution\, let alone the Ker
 r metric\, is not a trivial task. In these cases\, one has available the c
 lassic Regge-Wheeler-Zerilli resp. Teukolsky formalism. However\, in the c
 ase of higher dimensional stationary black holes\, a formalism of similar 
 power is not known to date. In this talk I present a variational approach 
 to this problem put forward in a recent paper with Bob Wald. The approach 
 also gives a conceptual understanding of why the approach based on the ``l
 ocal Penrose inequality''\, put forward recently by Figueras et al.\, work
 s\, and it also allows one to demonstrate the ``Gubser Mitra conjecture'' 
 relating dynamical stability/instability of black holes to a natural notio
 n of ``thermodynamical stability/instability''. 
LOCATION:Pavilion B Potter Room (B1.19)
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