Near-horizon geometries in supergravities with hidden symmetry
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Associated to every stationary extremal black hole is a unique near-horizon geometry. These spacetimes are more tractable to analyze and crucially, retain properties of the parent black hole. We consider the classification of near-horizon geometries in theories of gravity coupled to abelian gauge fields and uncharged scalars in four and five dimensions, with one and two commuting rotational symmetries respectively. Assuming that the theory of gravity may be cast as a 3d non-linear sigma model (as is typically the case for ungauged supergravities), we show that the functional form of any such near-horizon geometry may be determined. We apply this to five dimensional minimal supergravity, focusing on the near-horizon geometries of yet to be found extremal black rings.
This talk is part of the DAMTP Friday GR Seminar series.
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