Evidences of an innermost stable bound orbit predicted by general relativity from the amplitude of the twin-peak quasi-periodic oscillations

Abstract

The twin-peak high-frequency quasi-periodic oscillations (HF QPOs), observed in the power spectra of low-mass X-ray binaries, might carry relevant clues about the physics laws reigning close to a compact object. Their frequencies are typical of the orbital motion time-scales a few gravitational radii away from the compact object. The aim of the manuscript is to propose an intuitive model explaining that the energy carried by the lower HF QPO can be related to differences of potential energy released by clumps of plasma spiraling in a curved space-time. Our model provides estimates on both the size of clumps of matter that can survive to the strong tidal force and energy loaded by tides on the clump. We also have obtained some constraints on the mechanical properties of the plasma orbiting into the accretion disk. We note that the systematic behavior of the emitted energy as function of the central frequency of the lower HF QPO, observed in several sources with a neutron star, might give clues related to an innermost stable bound orbit predicted by the General Relativity theory in strong field regime.

12 pages, 6 figures. Accepted for publication in Physical Review D

References in corpus (13)

• Accretion disc viscosity: how big is alpha?
• An ultraviolet-optical flare from the tidal disruption of a helium-rich stellar core
• A 200-s Quasi-Periodicity Following the Tidal Disruption of a Star by a Dormant Black Hole
• The coherence of kHz quasi-periodic oscillations in the X-rays from accreting neutron stars
• A Black Hole Nova Obscured by an Inner Disk Torus
• Tidal effects on small bodies by massive black holes
• On the maximum amplitude and coherence of the kilohertz quasi-periodic oscillations in low-mass X-ray binaries
• Supporting evidence for the signature of the innermost stable circular orbit in Rossi X-ray data from 4U1636-536
• Diskoseismology and QPOs Confront Black Hole Spin
• The puzzling source IGR J17361-4441 in NGC 6388: a possible planetary tidal disruption event
• Mass-angular-momentum relations implied by models of twin peak quasi-periodic oscillations
• Tidal disruption of small satellites orbiting black holes
• A $\sim$100 mHz QPO in the X-ray emission from IGR J17361-4441

Cited by in corpus (1)

• Upper-twin-peak quasiperiodic oscillation in x-ray binaries and the energy from tidal circularization of relativistic orbits