Correlations in the properties of static and rapidly rotating compact stars

Abstract

Correlations in the properties of the static compact stars (CSs) and the ones rotating with the highest observed frequency of 1122Hz are studied using a large set of equations of state (EOSs). These EOSs span various approaches and their chemical composition vary from the nucleons to hyperons and quarks in $\beta$-equilibrium. It is found that the properties of static CS, like, the maximum gravitational mass $M_{\max }^{\mathrm{stat}}$ and radius $R_{1.4}^{\mathrm{stat}}$ corresponding to t he canonical mass and supramassive or non-supramassive nature of the CS rotating at 1122 Hz are strongly correlated. In particular, only those EOSs yield the CS rotating at 1122Hz to be non-supramassive for which $\left (\frac{M_{\rm max}^{\rm stat}}{M_\odot}\right )^{1/2} \left (\frac{10{\rm km}}{R_{1.4}^{\rm stat}})^{3/2} $ is greater than unity. Suitable parametric form which can be used to split the $M_{\max }^{\mathrm{stat}}$ $-$ $R_{1.4}^{\mathrm{stat}}$ plane into the regions of different supramassive nature of the CS rotating at 1122Hz is presented. Currently measured maximum gravitational mass 1.76$M_{\odot }$ of PSR J0437-4715 suggests that the CS rotating at 1122Hz can be non-supramassive provided $R_{1.4}^{\mathrm{stat}}⩽12.4$ km.

13 pages, 4 figures, Appearing in Phys. Rev. D

References in corpus (5)

• Evidence for 1122 Hz X-Ray Burst Oscillations from the Neutron-Star X-Ray Transient XTE J1739-285
• Non-rotating and rotating neutron stars in the extended field theoretical model
• Exploring the extended density-dependent Skyrme effective forces for normal and isospin-rich nuclei to neutron stars
• Constraints on the dense matter EOS from the measurements of PSR J0737-3039A moment of inertia and PSR J0751+1807 mass
• Rotation at 1122 Hz and the neutron star structure