Slowly rotating Tolman VII solution

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F47813059%3A19630%2F23%3AA0000287" target="_blank" >RIV/47813059:19630/23:A0000287 - isvavai.cz</a>

Výsledek na webu

<a href="https://iopscience.iop.org/article/10.1088/1361-6382/acd90c" target="_blank" >https://iopscience.iop.org/article/10.1088/1361-6382/acd90c</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1088/1361-6382/acd90c" target="_blank" >10.1088/1361-6382/acd90c</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Slowly rotating Tolman VII solution

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Slowly rotating Tolman VII solution

Popis výsledku anglicky

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.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10303 - Particles and field physics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Classical and Quantum Gravity

ISSN

0264-9381

e-ISSN

—

Svazek periodika

40

Číslo periodika v rámci svazku

13

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

20

Strana od-do

„135009-1“-„135009-20“

Kód UT WoS článku

001004369200001

EID výsledku v databázi Scopus

2-s2.0-85162165800