Existence and uniqueness of near-horizon geometries for 5-dimensional black holes

Aghil Alaee; Marcus Khuri; Hari Kunduri

doi:10.1016/j.geomphys.2019.06.016

Existence and uniqueness of near-horizon geometries for 5-dimensional black holes

Aghil Alaee
, Marcus Khuri
, Hari Kunduri

Mathematics

Harvard University
Memorial University of Newfoundland

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

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).

Original language	English
Pages (from-to)	370-387
Number of pages	18
Journal	Journal of Geometry and Physics
Volume	144
DOIs	https://doi.org/10.1016/j.geomphys.2019.06.016
State	Published - Oct 2019

Keywords

Black holes
Einstein equations
Harmonic maps
Minimal supergravity
Near-horizon geometries

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10.1016/j.geomphys.2019.06.016

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title = "Existence and uniqueness of near-horizon geometries for 5-dimensional black holes",

abstract = "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).",

keywords = "Black holes, Einstein equations, Harmonic maps, Minimal supergravity, Near-horizon geometries",

author = "Aghil Alaee and Marcus Khuri and Hari Kunduri",

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year = "2019",

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AU - Khuri, Marcus

AU - Kunduri, Hari

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N2 - 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).

AB - 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).

KW - Black holes

KW - Einstein equations

KW - Harmonic maps

KW - Minimal supergravity

KW - Near-horizon geometries

UR - https://www.scopus.com/pages/publications/85068114459

U2 - 10.1016/j.geomphys.2019.06.016

DO - 10.1016/j.geomphys.2019.06.016

M3 - Article

AN - SCOPUS:85068114459

SN - 0393-0440

VL - 144

SP - 370

EP - 387

JO - Journal of Geometry and Physics

JF - Journal of Geometry and Physics

ER -

Existence and uniqueness of near-horizon geometries for 5-dimensional black holes

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Keywords

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