Investigating the I-Love-Q and w-mode universal relations using piecewise polytropes

被引:16
作者
Benitez, Ernesto [1 ,2 ]
Weller, Joseph [1 ,2 ]
Guedes, Victor [3 ]
Chirenti, Cecilia [1 ,4 ,5 ,6 ]
Miller, M. Coleman [1 ]
机构
[1] Univ Maryland, Dept Astron, College Pk, MD 20742 USA
[2] Univ Maryland, Dept Phys, College Pk, MD 20742 USA
[3] Univ Fed Abc, Ctr Nat & Human Sci, BR-09210170 Santo Andre, SP, Brazil
[4] Astroparticle Phys Lab NASA GSFC, Greenbelt, MD 20771 USA
[5] NASA GSFC, Ctr Res & Explorat Space Sci & Technol, Greenbelt, MD 20771 USA
[6] Univ Fed Abc, Ctr Math Computat & Cognit, BR-09210580 Santo Andre, SP, Brazil
基金
巴西圣保罗研究基金会;
关键词
ROTATING RELATIVISTIC STARS; QUASI-NORMAL MODES; EQUATION-OF-STATE; NEUTRON-STARS; COMPACT STARS; OSCILLATIONS; FAMILY; DENSE;
D O I
10.1103/PhysRevD.103.023007
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Neutron stars are expected to have a tight relation between their moment of inertia (I), tidal deformability (lambda, which is related to the Love number), and rotational mass quadrupole moment (Q) that is nearly independent of the unknown equation of state (EOS) of cold dense matter. These and similar relations are often called "universal", and they have been used for various applications including analysis of gravitational wave data. We extend these studies using piecewise polytropic representations of dense matter, including for so-called twin stars that have a second branch of stability at high central densities. The second-branch relations are less tight, by a factor of similar to 3, than the relations found in the first stable branch. We find that the relations on both branches become tighter when we increase the lower limit to the maximum mass for the EOS under consideration. We also propose new empirical relations between I, lambda, Q, and the complex frequency omega = omega(R) + i omega(I) of the fundamental axial w-mode, and find that they are comparably tight to the I-Love-Q correlations.
引用
收藏
页数:8
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