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@article{65745,
author = {Török, Gabriel and Kotrlová, Andrea and Matuszková, Monika and Klimovičová, Kateřina and Lančová, Debora and Urbancová, Gabriela and Šrámková, Eva},
article_location = {GB - Spojené království Velké Británie a},
article_number = {1},
doi = {http://dx.doi.org/10.3847/1538-4357/ac5ab6},
keywords = {quasi-periodic oscillations;rotating relativistic stars;armed corrugation waves;black holes binaries;twin KHZ QPOS;neutron star;spectral properties;epicyclic oscillations;frequency correlations;nonlinear resonance},
language = {eng},
issn = {0004-637X},
journal = {Astrophysical Journal},
title = {Simple Analytic Formula Relating the Mass and Spin of Accreting Compact Objects to Their Rapid X-Ray Variability},
url = {https://iopscience.iop.org/article/10.3847/1538-4357/ac5ab6},
volume = {929},
year = {2022}
}
TY - JOUR
ID - 65745
AU - Török, Gabriel - Kotrlová, Andrea - Matuszková, Monika - Klimovičová, Kateřina - Lančová, Debora - Urbancová, Gabriela - Šrámková, Eva
PY - 2022
TI - Simple Analytic Formula Relating the Mass and Spin of Accreting Compact Objects to Their Rapid X-Ray Variability
JF - Astrophysical Journal
VL - 929
IS - 1
SP - "28-1"-"28-9"
EP - "28-1"-"28-9"
SN - 0004637X
KW - quasi-periodic oscillations;rotating relativistic stars;armed corrugation waves;black holes binaries;twin KHZ QPOS;neutron star;spectral properties;epicyclic oscillations;frequency correlations;nonlinear resonance
UR - https://iopscience.iop.org/article/10.3847/1538-4357/ac5ab6
N2 - Following the previous research on epicyclic oscillations of accretion disks around black holes (BHs) and neutron stars (NSs), a new model of high-frequency quasiperiodic oscillations (QPOs) has been proposed, so-called cusp torus (CT) model, which deals with oscillations of fluid in marginally overflowing accretion tori (i.e., tori terminated by cusps). According to preliminary investigations, the model provides better fits of the NS QPO data compared to the relativistic precession (RP) model. It also implies a significantly higher upper limit on the Galactic microquasar BH spins. A short analytic formula has been noticed to well reproduce the model's predictions on the QPO frequencies in Schwarzschild spacetimes. Here we derive an extended version of this formula that applies to rotating compact objects. We start with the consideration of Kerr spacetimes and derive a formula that is not restricted to a particular specific angular momentum distribution of the inner accretion flow, such as a Keplerian or constant one. Finally, we consider Hartle-Thorne spacetimes and include corrections implied by the NS oblateness. For a particular choice of a single parameter, our relation provides frequencies predicted by the CT model. For another value, it provides frequencies predicted by the RP model. We conclude that the formula is well applicable to rotating oblate NSs and both models. We briefly illustrate the application of our simple formula on several NS sources and confirm the expectation that the CT model is compatible with realistic values of the NS mass and provides better fits of data than the RP model.
ER -
TÖRÖK, Gabriel, Andrea KOTRLOVÁ, Monika MATUSZKOVÁ, Kateřina KLIMOVIČOVÁ, Debora LANČOVÁ, Gabriela URBANCOVÁ and Eva ŠRÁMKOVÁ. Simple Analytic Formula Relating the Mass and Spin of Accreting Compact Objects to Their Rapid X-Ray Variability. \textit{Astrophysical Journal}. GB - Spojené království Velké Británie a, 2022, vol.~929, No~1, p.~''28-1''-''28-9'', 9 pp. ISSN~0004-637X. Available from: https://dx.doi.org/10.3847/1538-4357/ac5ab6.
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