Near horizon black holes in diverse dimensions and integrable models
High Energy Physics - Theory
2013-05-30 v2 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
The near horizon geometry of extremal rotating black hole in arbitrary dimension possesses SO(2,1)xU(n) symmetry in the special case that all n rotation parameters are equal. We consider a conformal particle associated with such a maximally symmetric configuration and derive from it a new integrable Hamiltonian mechanics with U(n) symmetry. A further reduction of the model is discussed, which is obtained by discarding cyclic variables. A variant of the Higgs oscillator and the Poschl-Teller system show up in four and five dimensions, respectively.
Keywords
Cite
@article{arxiv.1209.5034,
title = {Near horizon black holes in diverse dimensions and integrable models},
author = {Anton Galajinsky},
journal= {arXiv preprint arXiv:1209.5034},
year = {2013}
}
Comments
V2: 17 pages, minor modifications