Holonomy invariance, orbital resonances, and kilohertz QPOs

Details Holonomy invariance, orbital resonances, and kilohertz QPOs Holonomy invariance, orbital resonances, and kilohertz QPOs

2002-02-06

arxiv.org/abs/gr-qc/0202020v1

Class.Quant.Grav.19:L57-L62,2002

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/19/8/103

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.

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