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@article{76322,
author = {Posada Aguirre, Nelson Camilo and Stuchlík, Zdeněk},
article_location = {GB - Spojené království Velké Británie a},
article_number = {13},
doi = {http://dx.doi.org/10.1088/1361-6382/acd90c},
keywords = {neutron star;s;analytical solution;slow rotation;Hartle-Thorne metric},
language = {eng},
issn = {0264-9381},
journal = {Classical and Quantum Gravity},
title = {Slowly rotating Tolman VII solution},
url = {https://iopscience.iop.org/article/10.1088/1361-6382/acd90c},
volume = {40},
year = {2023}
}
TY - JOUR
ID - 76322
AU - Posada Aguirre, Nelson Camilo - Stuchlík, Zdeněk
PY - 2023
TI - Slowly rotating Tolman VII solution
JF - Classical and Quantum Gravity
VL - 40
IS - 13
SP - "135009-1"-"135009-20"
EP - "135009-1"-"135009-20"
SN - 02649381
KW - neutron star;s;analytical solution;slow rotation;Hartle-Thorne metric
UR - https://iopscience.iop.org/article/10.1088/1361-6382/acd90c
N2 - We present a model of a slowly rotating Tolman VII (T-VII) fluid sphere, at second order in the angular velocity. The structure of this configuration is obtained by integrating numerically the Hartle-Thorne equations for slowly rotating relativistic masses. We consider a sequence of models where we vary the parameter R/R-S, where R is the radius of the configuration and RS is its Schwarzschild radius, representing an adiabatic and quasi-stationary contraction by progressively reducing the radius while keeping the angular momentum and gravitational mass constant. We determined the moment of inertia I, mass quadrupole moment Q, and the ellipticity e, for various configurations. Similarly to previous results for Maclaurin and polytropic spheroids, in slow rotation, we found a change in the behavior of the ellipticity when R/RS reaches a certain critical value. Based on our analysis for the T-VII solution, we found variations of O(10%) in the I - C and Q- C relations, and O(1%) variation in the I - Q relation, with respect to the universal fittings proposed for realistic neutron stars (NSs). Our results suggest that the T-VII solution can be considered a rather good approximation for the description of the interior of NSs.
ER -
POSADA AGUIRRE, Nelson Camilo and Zdeněk STUCHLÍK. Slowly rotating Tolman VII solution. \textit{Classical and Quantum Gravity}. GB - Spojené království Velké Británie a, 2023, vol.~40, No~13, p.~''135009-1''-''135009-20'', 20 pp. ISSN~0264-9381. Available from: https://dx.doi.org/10.1088/1361-6382/acd90c.
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