About magnetic AdS black holes

• Published in: The journal of high energy physics Vol. 2021; no. 3; pp. 1 - 22
• Main Author: McInnes, Brett
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.03.2021; Springer Nature B.V; SpringerOpen
• Subjects: AdS-CFT Correspondence; Asymptotic properties; Black Holes; Black Holes in String Theory; Classical and Quantum Gravitation; Electric fields; Elementary Particles; Event horizon; High energy physics; Magnetic fields; Physics; Physics and Astronomy; Poles; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Relativity Theory; String Theory; Upper bounds; Black Holes in String Theory; AdS-CFT Correspondence; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP03(2021)068

A bstract There has recently been a strong revival of interest in quasi-extremal magnetically charged black holes. In the asymptotically flat case, it is possible to choose the magnetic charge of such an object in such a manner that the black hole is surrounded by a corona in which electroweak symmetry is restored on macroscopic scales, a result of very considerable interest. We argue that holographic duality indicates that the asymptotically AdS analogues of these black holes have several interesting properties: the dual theory is only physical if the black hole is required to rotate; in the rotating case, the magnetic field at the poles does not attain its maximum on the event horizon, but rather somewhat outside it; the magnetic field at the equator is not a monotonically decreasing function of the magnetic charge; the electric fields induced by the rotation, while smaller than their magnetic counterparts, are by no means negligible; the maximal electric field often occurs neither at the poles nor at the equator; and so on. Most importantly, in the magnetically charged case it is possible to avoid the superradiant instability to which neutral AdS-Kerr black holes are subject; but the need to avoid this instability imposes upper bounds on the magnetic and electric fields. In some circumstances, therefore, the corona may not exist in the asymptotically AdS case.