2015
DOI: 10.1007/s10714-015-1863-y
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Test of the string loop oscillation model using kHz quasiperiodic oscillations in a neutron star binary

Abstract: The model of current-carrying string loop oscillations is tested to explain the special set of frequencies related to the high-frequency quasiperiodic oscillations (HF QPOs) observed recently in the low-mass X-ray binary XTE J1701-407 containing a neutron star. The external geometry of the neutron star is approximated by the Kerr geometry, introducing errors not exceeding 10 % for slowly rotating massive neutron stars. The frequencies of the radial and vertical string loop oscillations are then governed by the… Show more

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Cited by 6 publications
(9 citation statements)
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“…It has been shown that the exact numerical models and external Hartle-Thorne geometry give very similar spacetime structure for models with dimensionless spin a = J/M 2 = 0.4 and can be thus applied to almost all of the observed neutron stars [129][130][131]. The external Hartle-Thorne geometry exactly corresponds to the Kerr geometry, if the dimensionless quadrupole moment q ≡ QM/J 2 = 1, and they can be very close if q ≤ 2 [131,132]. The neutron star with q ≤ 2 are very massive and compact stars, near the maximum mass allowed by considered equation of state.…”
Section: Ultra-high Energy Cosmic Rays As Products Of Mpp In the Extrmentioning
confidence: 94%
“…It has been shown that the exact numerical models and external Hartle-Thorne geometry give very similar spacetime structure for models with dimensionless spin a = J/M 2 = 0.4 and can be thus applied to almost all of the observed neutron stars [129][130][131]. The external Hartle-Thorne geometry exactly corresponds to the Kerr geometry, if the dimensionless quadrupole moment q ≡ QM/J 2 = 1, and they can be very close if q ≤ 2 [131,132]. The neutron star with q ≤ 2 are very massive and compact stars, near the maximum mass allowed by considered equation of state.…”
Section: Ultra-high Energy Cosmic Rays As Products Of Mpp In the Extrmentioning
confidence: 94%
“…This property of the radial profiles of the radial and vertical frequencies of the string loop oscillations introduces an unambiquity into the fitting of the HF QPOs even in the black hole spacetimes and makes the estimates of the black hole mass more complex. However, it can be conveniently applied to explain the special frequency set of HF QPOs observed recently in the source XTE J1701-407 that is a LMXB system containing a neutron star (Pawar et al 2013;Stuchlík & Kološ 2015). The radial profiles of the string loop oscillations are demonstrated in Figure 1 for value of the Kerr spin parameter a = 0.7 and in the Schwarzschild spacetime (a = 0), where the situation is degenerate, since both the frequencies are independent of the stringy parameter ω.…”
Section: Frequency Of the String-loop Radial And Vertical Oscillatory...mentioning
confidence: 99%
“…In the case of the string loop oscillation model the additional nodal frequency model is not relevant, and is not applied for the mass estimates. For possibility to obtain a low frequency string loop oscillations see (Stuchlík & Kološ 2015)…”
Section: Fitting the Twin Hf Qpo Frequencies Observed In M82 X-1 By O...mentioning
confidence: 99%
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