Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes - INSPIRE

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Existence and Uniqueness of Near-Horizon Geometries for 5-Dimensional Black Holes

Dec 19, 2018

18 pages

Published in:

J.Geom.Phys. 144 (2019) 370-387

Published: Oct, 2019

e-Print:

1812.08285 [hep-th]

DOI:

10.1016/j.geomphys.2019.06.016

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Abstract: (Elsevier)

We prove existence of all possible bi-axisymmetric near-horizon geometries of 5-dimensional minimal supergravity. These solutions possess the cross-sectional horizon topology S3 , S1×S2 , or L(p,q) and come with prescribed electric charge, two angular momenta, and a dipole charge (in the ring case). Moreover, we establish uniqueness of these solutions up to an isometry of the symmetric space G2(2)∕SO(4) .

Harmonic maps
Black holes
Einstein equations
Near-horizon geometries
Minimal supergravity
angular momentum: 2
supergravity: minimal
horizon: topology
charge: electric
charge: dipole

References(36)

Figures(0)

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