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Quasi-periodic oscillations in rotating and deformed spacetimes
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Quasi-periodic oscillation (QPOs) analysis is important for understanding the dynamical behavior of many astrophysical objects during transient events such as gamma-ray bursts, solar flares, magnetar flares, and fast radio bursts. In this paper, we analyze QPO data in low-mass X-ray binary (LMXB) systems, using the Lense-Thirring, Kerr, and approximate Zipoy-Voorhees metrics. We demonstrate that the inclusion of spin and quadrupole parameters modifies the well-established results for the fundamental frequencies in the Schwarzschild spacetime. We interpret the QPO data within the framework of the standard relativistic precession model, allowing us to infer the values of the mass, spin, and quadrupole parameters of neutron stars in LMXBs. We explore recent QPO data sets from eight distinct LMXBs, assess their optimal parameters, and compare our findings with results in the existing literature. Finally, we discuss the astrophysical implications of our findings.
Forward citations
Cited by 4 Pith papers
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The macroscopic precession model of quasi-periodic oscillations for rotating compact objects
Treating QPO-emitting disk clumps as spinning test bodies reproduces the observed twin kHz QPOs without the effective de Sitter term, with fits preferring n≈2 thin-disk structures for Schwarzschild and n≈1 for Kerr.
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Constraining quadrupole deformations with relativistic effects
In the Zipoy-Voorhees spacetime, the Shapiro time delay and the Shirokov oscillation frequencies acquire corrections from the quadrupole deformation parameter q, with the delay correction appearing at first order in q.
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Generalizing the relativistic precession model of quasi-periodic oscillations through anharmonic corrections
Adding a quadratic radial correction changes the predicted lower QPO frequency near the ISCO, but fits to eight neutron stars show it is insufficient to rescue the relativistic precession model.
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Geodesic deviation in the $q$-metric
In the q-metric, tidal stretching and compression of radially falling test particles depend on the deformation parameter q and the polar angle θ, and differ from Schwarzschild near the singularity at r=2m.
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