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SUMMARY:Generalized Lense-Thirring spacetimes: higher curvature correction
 s and solutions with matter - David Kubiznak (Perimeter Institute)
DTSTART:20220506T120000Z
DTEND:20220506T130000Z
UID:TALK173696@talks.cam.ac.uk
CONTACT:Prahar Mitra
DESCRIPTION:The Lense-Thirring spacetime describes a 4-dimensional slowly 
 rotating approximate solution of vacuum Einstein equations valid to a line
 ar order in rotation parameter. \nIt is fully characterized by a single me
 tric function of the corresponding static (Schwarzschild) solution. We sha
 ll discuss a generalization of the Lense-Thirring \nspacetimes to the case
  that is not necessarily fully characterized by a single (static) metric f
 unction. This generalization lets us study slowly rotating spacetimes in \
 nvarious higher curvature gravities as well as in the presence of non-triv
 ial matter such as non-linear electrodynamics.  In particular\, we constru
 ct slowly multiply-spinning \nsolutions in Lovelock gravity and notably sh
 ow that in four dimensions Einstein gravity is the only non-trivial theory
  amongst all up to quartic curvature gravities that \nadmits a Lense-Thirr
 ing solution characterized by a single metric function. We will also show 
 discuss a `magic square' version of our ansatz and show that it \ncan be c
 ast in the Painlevé--Gullstrand form (and thence is manifestly regular on
  the horizon) and admits a tower of exact rank-2 and higher rank Killing t
 ensors \nthat rapidly grows with the number of dimensions.
LOCATION:Potter room
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