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@article{37362, author = {Urbancová, Gabriela and Urbanec, Martin and Török, Gabriel and Stuchlík, Zdeněk and Blaschke, Martin and Miller, John}, article_number = {2}, doi = {http://dx.doi.org/10.3847/1538-4357/ab1b4c}, keywords = {stars: oscillations; stars: neutron; stars: rotation; X-rays: binaries}, language = {eng}, issn = {0004-637X}, journal = {Astrophysical Journal}, title = {Epicyclic Oscillations in the Hartle-Thorne External Geometry}, url = {https://iopscience.iop.org/article/10.3847/1538-4357/ab1b4c}, volume = {877}, year = {2019} }
TY - JOUR ID - 37362 AU - Urbancová, Gabriela - Urbanec, Martin - Török, Gabriel - Stuchlík, Zdeněk - Blaschke, Martin - Miller, John PY - 2019 TI - Epicyclic Oscillations in the Hartle-Thorne External Geometry JF - Astrophysical Journal VL - 877 IS - 2 SP - "66-1"-"66-17" EP - "66-1"-"66-17" SN - 0004637X KW - stars: oscillations KW - stars: neutron KW - stars: rotation KW - X-rays: binaries UR - https://iopscience.iop.org/article/10.3847/1538-4357/ab1b4c L2 - https://iopscience.iop.org/article/10.3847/1538-4357/ab1b4c N2 - The external Hartle-Thorne geometry, which describes the spacetime outside a slowly rotating compact star, is characterized by the gravitational mass M, angular momentum J, and quadrupole moment Q of the star and gives a convenient description, which, for the rotation frequencies of more than 95% of known pulsars, is sufficiently accurate for most purposes. We focus here on the motion of particles in these spacetimes, presenting a detailed systematic analysis of the frequency properties of radial and vertical epicyclic motion and of orbital motion. Our investigation is motivated by X-ray observations of binary systems containing a rotating neutron star that is accreting matter from its binary companion. In these systems, twin high-frequency quasi-periodic oscillations (QPOs) are sometimes observed with a frequency ratio approaching 3:2 or 5:4, and these may be explained by models involving the orbital and epicyclic frequencies of quasi-circular geodesic motion. In our analysis, we use realistic equations of state for the stellar matter and proceed in a self-consistent way, following the Hartle-Thorne approach in calculating both the corresponding values of Q, M, and J for the stellar model and the properties of the surrounding spacetime. Our results are then applied to a range of geodetical models for QPOs. A key feature of our study is that it implements the recently discovered universal relations among neutron-star parameters so that the results can be directly used for models with different masses M, radii R, and rotational frequencies f_(rot). ER -
URBANCOVÁ, Gabriela, Martin URBANEC, Gabriel TÖRÖK, Zdeněk STUCHLÍK, Martin BLASCHKE and John MILLER. Epicyclic Oscillations in the Hartle-Thorne External Geometry. \textit{Astrophysical Journal}. 2019, vol.~877, No~2, p.~''66-1''-''66-17'', 17 pp. ISSN~0004-637X. Available from: https://dx.doi.org/10.3847/1538-4357/ab1b4c.
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