Black holes in Sol minore

A bstract We consider black holes in five-dimensional N = 2 U(1)-gauged supergravity coupled to vector multiplets, with horizons that are homogeneous but not isotropic. We write down the equations of motion for electric and magnetic ansätze, and solve them explicitely for the case of pure gauged sup...

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Bibliographic Details
Published in:The journal of high energy physics 2019-12, Vol.2019 (12), p.1-23, Article 151
Main Authors: Faedo, Federico, Farotti, Daniele Angelo, Klemm, Silke
Format: Article
Language:English
Subjects:
AdS-CFT Correspondence
Black Holes
Charging
Classical and Quantum Gravitation
Classical Theories of Gravity
Electric fields
Elementary Particles
Equations of motion
Field strength
High energy physics
Horizon
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Theory
Supergravity
Supergravity Models
Toruses
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Summary:A bstract We consider black holes in five-dimensional N = 2 U(1)-gauged supergravity coupled to vector multiplets, with horizons that are homogeneous but not isotropic. We write down the equations of motion for electric and magnetic ansätze, and solve them explicitely for the case of pure gauged supergravity with magnetic U(1) field strength and Sol horizon. The thermodynamics of the resulting solution, which exhibits anisotropic scaling, is discussed. If the horizon is compactified, the geometry approaches asymptotically a torus bundle over AdS 3 . Furthermore, we prove a no-go theorem that states the nonexistence of supersymmetric, static, Sol-invariant, electrically or magnetically charged solutions with spatial cross-sections modelled on solvegeometry. Finally, we study the attractor mechanism for extremal static non-BPS black holes with nil- or solvegeometry horizons. It turns out that there are no such attractors for purely electric field strengths, while in the magnetic case there are attractor geometries, where the values of the scalar fields on the horizon are computed by extremization of an effective potential V eff , which contains the charges as well as the scalar potential of the gauged supergravity theory. The entropy density of the extremal black hole is then given by the value of V eff in the extremum.
ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP12(2019)151