2002/02/06 by M. A. Abramowicz, G. J. E. Almergren, W. Kluźniak +5 · 15 citations
Physics and Astronomy · #Astrophysical Phenomena and Observations #Astrophysics #Astrophysics and Cosmic Phenomena #Black hole (networking) #Classical mechanics #Context (archaeology) #Einstein #Gravitation #Holonomy #Mathematical physics #Neutron star #Physics #Pulsars and Gravitational Waves Research #Schwarzschild radius #astro-ph #gr-qc
paper · pdf · doi:10.1088/0264-9381/19/8/103
published in Classical and Quantum Gravity 19(8), L57-L61 (IOP Publishing)
arxiv created 2002/02/06 · openalex publication_date 2002/04/03 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
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.