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SUMMARY:The Wave Equation inside Black Holes - Dejan Gajic\, DAMTP
DTSTART:20150520T150000Z
DTEND:20150520T160000Z
UID:TALK59356@talks.cam.ac.uk
CONTACT:Dominic Dold
DESCRIPTION:Black holes spacetimes are solutions to Einstein's equations o
 f general relativity that contain a black hole region\, "a region of no es
 cape". The aim of this talk is to discuss recent developments towards unde
 rstanding the dynamics of the black hole region in the context of the Cauc
 hy problem for Einstein's equations. In particular\, I will discuss the an
 alysis of the wave equation on Reissner–Nordström geometries\, spacetim
 es that describe charged black holes\, as a toy model for Einstein's equat
 ions. I will highlight how the analysis in "critical" Reissner–Nordströ
 m solutions\, the so-called extremal limits of Reissner–Nordström\, in 
 which the charge attains its maximal value\, suggests instability outside 
 the black hole\, yet more stability inside the black hole. 
LOCATION:MR11\, Centre for Mathematical Sciences
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