Holonomy invariance, orbital resonances, and kilohertz QPOs
General Relativity and Quantum Cosmology
2010-04-06 v1 Astrophysics
Abstract
Quantized orbital structures are typical for many aspects of classical gravity (Newton's as well as Einstein's). The astronomical phenomenon of orbital resonances is a well-known example. Recently, Rothman, Ellis and Murugan (2001) discussed quantized orbital structures in the novel context of a holonomy invariance of parallel transport in Schwarzschild geometry. We present here yet another example of quantization of orbits, reflecting both orbital resonances and holonomy invariance. This strong-gravity effect may already have been directly observed as the puzzling kilohertz quasi-periodic oscillations (QPOs) in the X-ray emission from a few accreting galactic black holes and several neutron stars.
Keywords
Cite
@article{arxiv.gr-qc/0202020,
title = {Holonomy invariance, orbital resonances, and kilohertz QPOs},
author = {M. A. Abramowicz and G. J. E. Almergren and W. Klu{ź}niak and A. V. Thampan and F. Wallinder},
journal= {arXiv preprint arXiv:gr-qc/0202020},
year = {2010}
}