• DOI:10.1088/0264-9381/19/8/103
• Corpus ID: 15696111

Holonomy invariance, orbital resonances and kilohertz QPOs

@article{Abramowicz2002HolonomyIO,
  title={Holonomy invariance, orbital resonances and kilohertz QPOs},
  author={Marek Arthur Abramowicz and G. J. E. Almergren and Wlodek Klu'zniak and Arun Varma Thampan and F. Wallinder},
  journal={Classical and Quantum Gravity},
  year={2002},
  volume={19}
}

• M. Abramowicz, G. Almergren, +2 authors F. Wallinder
• Published 6 February 2002
• Physics
• Classical and Quantum Gravity

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 et al (2001 Class. Quantum Grav. 18 1217–33) 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, one that is closely related to orbital resonances and closely analogous to holonomy invariance. This strong-gravity effect may have been already 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.