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

JOURNAL OF GEOMETRY AND PHYSICS

卷:144

Article

Alaee, Aghil¹  Khuri, Marcus²  Kunduri, Hari³ 

[1] Harvard Univ, Ctr Math Sci & Applicat, 20 Garden St, Cambridge, MA 02138 USA

[2] SUNY Stony Brook, Dept Math, Stony Brook, NY 11794 USA

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 4P5, Canada

关键词: Harmonic maps;    Black holes;    Einstein equations;    Near-horizon geometries;    Minimal supergravity;   

DOI  :  10.1016/j.geomphys.2019.06.016

来源: Elsevier

【 摘 要 】

We prove existence of all possible bi-axisymmetric near-horizon geometries of 5-dimensional minimal supergravity. These solutions possess the cross-sectional horizon topology S-3, S-1 x S-2, 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 G(2(2))/SO(4). (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free