Holonomy invariance, orbital resonances, and kilohertz QPOs

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.

References in corpus (5)

• A precise determination of angular momentum in the black hole candidate GRO J1655-40
• New Evidence for Black Hole Event Horizons from Chandra
• 'Stable' QPOs and Black Hole Properties from Diskoseismology
• Discovery of a Second High Frequency QPO from the Microquasar GRS 1915+105
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Cited by in corpus (10)

• No observational proof of the black-hole event-horizon
• Non-linear resonance in nearly geodesic motion in low-mass X-ray binaries
• Evidence for a 2:3 resonance in Sco X-1 kHz QPOs
• Measuring mass and angular momentum of black holes with high-frequency quasi-periodic oscillations
• On the time variability of geometrically-thin black hole accretion disks I : the search for modes in simulated disks
• Disc-oscillation resonance and neutron star QPOs: 3:2 epicyclic orbital model
• Loop variables in the geometry of a rotating black string
• Super-spinning compact objects and models of high-frequency quasi-periodic oscillations observed in Galactic microquasars. II. Forced resonances
• Slowly-rotating compact objects: the nonintegrability of Hartle-Thorne particle geodesics
• Quasi-quantized Disk Structure around Rotating Neutron Stars