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SUMMARY:Reflection Symmetry in Higher Dimensional Black Hole Spacetimes - 
 Josh Schiffrin\, DAMTP
DTSTART:20151009T120000Z
DTEND:20151009T130000Z
UID:TALK61388@talks.cam.ac.uk
CONTACT:43345
DESCRIPTION:There is a well known proof that for any 4-dimensional asympto
 tically flat\, stationary\, and axisymmetric vacuum solution of Einstein's
  equation\, there exists a t-ϕ reflection isometry that reverses the dire
 ction of the timelike Killing vector field and the direction of the axial 
 Killing vector field. However the proof of this result does not generalize
  to higher spacetime dimensions. Here we consider asymptotically flat\, st
 ationary\, and axisymmetric (i.e.\, having one or more commuting rotationa
 l isometries) black hole spacetimes in vacuum general relativity in d≥4 
 spacetime dimensions such that the action of the isometry group is trivial
 . We prove that there exists a t-ϕ reflection isometry that reverses the 
 direction of the timelike Killing vector field and the direction of each a
 xial Killing vector field. The proof relies in an essential way on the fir
 st law of black hole mechanics.
LOCATION:Pavilion B Potter Room (B1.19)
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