Charged black rings at large D

• Published in: The journal of high energy physics Vol. 2017; no. 4; pp. 1 - 31
• Main Authors: Chen, Bin, Li, Peng-Cheng, Wang, Zi-zhi
• Format: Journal Article
• Language: English
• Published: Berlin/Heidelberg Springer Berlin Heidelberg 01.04.2017; Springer Nature B.V; SpringerOpen
• Subjects: Angular momentum; Black Holes; Censorship; Classical and Quantum Gravitation; Classical Theories of Gravity; Elementary Particles; Gravitation; High energy physics; Instability; Mathematical analysis; Perturbation methods; Physics; Physics and Astronomy; Quantum Field Theories; Quantum Field Theory; Quantum Physics; Regular Article - Theoretical Physics; Regularity; Relativity Theory; Rotation; Stability analysis; String Theory; Strings; Classical Theories of Gravity; Black Holes
• ISSN: 1029-8479; 1029-8479
• DOI: 10.1007/JHEP04(2017)167

A bstract We study the charged slowly rotating black holes in the Einstein-Maxwell theory in the large dimensions ( D ). By using the 1 /D expansion in the near regions of the black holes we obtain the effective equations for the charged slowly rotating black holes. The effective equations capture the dynamics of various stationary solutions, including the charged black ring, the charged slowly rotating Myers-Perry black hole and the charged slowly boosted black string. Via different embeddings we construct these stationary solutions explicitly. For the charged black ring at large D , we find that the charge lowers the angular momentum due to the regularity condition on the solution. By performing the perturbation analysis of the effective equations, we obtain the quasinormal modes of the charge perturbation and the gravitational perturbation analytically. Like the neutral case the charged thin black ring suffers from the Gregory-Laflamme-like instability under the non-axisymmetric perturbations, but the charge weakens the instability. Besides, we find that the large D analysis always respects the cosmic censorship.