Properties of rotating EinsteinMaxwelldilaton black holes in odd dimensions
Abstract
We investigate rotating EinsteinMaxwelldilaton (EMd) black holes in odd dimensions. Focusing on black holes with equalmagnitude angular momenta, we determine the domain of existence of these black holes. Nonextremal black holes reside with the boundaries determined by the static and the extremal rotating black holes. The extremal EMd black holes show proportionality of their horizon area and their angular momenta. Thus the charge does not enter. We also address the EinsteinMaxwell case, where the extremal rotating black holes exhibit two branches. On the branch emerging from the MyersPerry solutions, their angular momenta are proportional to their horizon area, whereas on the branch emerging from the static solutions their angular momenta are proportional to their horizon angular momenta. Only subsets of the nearhorizon solutions are realized globally. Investigating the physical properties of these EMd black holes, we note that one can learn much about the extremal rotating solutions from the much simpler static solutions. The angular momenta of the extremal black holes are proportional to the area of the static ones for the KaluzaKlein value of the dilaton coupling constant, and remain analogous for other values. The same is found for the horizon angular velocities of the extremal black holes, which possess an analogous behavior to the surface gravity of the static black holes. The gyromagnetic ratio is rather well approximated by the "static" value, obtained perturbatively for small angular momenta.
 Publication:

Physical Review D
 Pub Date:
 January 2014
 DOI:
 10.1103/PhysRevD.89.024038
 arXiv:
 arXiv:1311.0062
 Bibcode:
 2014PhRvD..89b4038B
 Keywords:

 04.50.Gh;
 04.20.q;
 04.40.Nr;
 04.50.h;
 Higherdimensional black holes black strings and related objects;
 Classical general relativity;
 EinsteinMaxwell spacetimes spacetimes with fluids radiation or classical fields;
 Higherdimensional gravity and other theories of gravity;
 General Relativity and Quantum Cosmology;
 High Energy Physics  Theory
 EPrint:
 40 pages, 10 figures