Built on

M. Urbanec, J. C. Miller, and Z. Stuchlík, “Quadrupole moments of rotating neutron stars and strange stars,” Mon. Not. R. Astron. Soc
Original
1909
Earlier work this paper cites.
E. M. Butterworth and C. R. Ipser, “On the structure and stability of rapidly rotating fluid bodies in general relativity. I — The numerical method for computing structure and its application to uniformly rotating homogeneous bodies,” Astrophys. J
1976
Earlier work this paper cites.
R. B. Wiringa, V. Fiks, and A. Fabrocini, “Equation of state for dense nucleon matter,” Phys. Rev. C
1988
Earlier work this paper cites.
H. Komatsu, Y. Eriguchi, and I. Hachisu, “Rapidly rotating general relativistic stars. I — Numerical method and its application to uniformly rotating polytropes,” Mon. Not. R. Astron. Soc
1989
Earlier work this paper cites.
C. Lorenz, D. Ravenhall, and C. Pethick, “Neutron star crusts,” Phys. Rev. Lett
1993
Earlier work this paper cites.
N. Stergioulas and J. Friedman, “Comparing models of rapidly rotating relativistic stars constructed by two numerical methods,” Astrophys. J
1995
Earlier work this paper cites.
A. Akmal, V. Padharipande, and D. Ravenhall, “Equation of state of nucleon matter and neutron star structure,” Phys. Rev. C
1998
Earlier work this paper cites.
W. G. Laarakkers and E. Poisson, “Quadrupole moments of rotating neutron stars,” Astrophys. J
1999
Earlier work this paper cites.
J. Lattimer and M. Prakash, “Neutron star structure and the equation of state,” Astrophys. J
2001
Earlier work this paper cites.
F. Douchin and P. Haensel, “A unified equation of state of dense matter and neutron star structure,” Astron. Astrophys
2001
Earlier work this paper cites.
L. Tsui and P. Leung, “Universality in quasi-normal modes of neutron stars,” Mon. Not. R. Astron. Soc
2005
Earlier work this paper cites.
C. M. Will, “The confrontation between general relativity and experiment,” Living Rev. Relativity
2006
Earlier work this paper cites.

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2013

I-Q relation for rapidly rotating neutron stars

Chakrabarti, Sayan, Delsate, Térence, Gürlebeck, Norman et al.

Understand

We consider a universal relation between moment of inertia and quadrupole moment of arbitrarily fast rotating neutron stars.

Recent studies suggest that this relation breaks down for fast rotation.
We find that it is still universal among various suggested equations of state for constant values of certain dimensionless parameters characterizing the magnitude of rotation.
One of these parameters includes the neutron star radius, leading to a new universal relation expressing the radius through the mass, frequency, and spin parameter.

Built on

M. Urbanec, J. C. Miller, and Z. Stuchlík, “Quadrupole moments of rotating neutron stars and strange stars,” Mon. Not. R. Astron. Soc
Original
1909
Earlier work this paper cites.
E. M. Butterworth and C. R. Ipser, “On the structure and stability of rapidly rotating fluid bodies in general relativity. I — The numerical method for computing structure and its application to uniformly rotating homogeneous bodies,” Astrophys. J
1976
Earlier work this paper cites.
R. B. Wiringa, V. Fiks, and A. Fabrocini, “Equation of state for dense nucleon matter,” Phys. Rev. C
1988
Earlier work this paper cites.
H. Komatsu, Y. Eriguchi, and I. Hachisu, “Rapidly rotating general relativistic stars. I — Numerical method and its application to uniformly rotating polytropes,” Mon. Not. R. Astron. Soc
1989
Earlier work this paper cites.
C. Lorenz, D. Ravenhall, and C. Pethick, “Neutron star crusts,” Phys. Rev. Lett
1993
Earlier work this paper cites.
N. Stergioulas and J. Friedman, “Comparing models of rapidly rotating relativistic stars constructed by two numerical methods,” Astrophys. J
1995
Earlier work this paper cites.
A. Akmal, V. Padharipande, and D. Ravenhall, “Equation of state of nucleon matter and neutron star structure,” Phys. Rev. C
1998
Earlier work this paper cites.
W. G. Laarakkers and E. Poisson, “Quadrupole moments of rotating neutron stars,” Astrophys. J
1999
Earlier work this paper cites.
J. Lattimer and M. Prakash, “Neutron star structure and the equation of state,” Astrophys. J
2001
Earlier work this paper cites.
F. Douchin and P. Haensel, “A unified equation of state of dense matter and neutron star structure,” Astron. Astrophys
2001
Earlier work this paper cites.
L. Tsui and P. Leung, “Universality in quasi-normal modes of neutron stars,” Mon. Not. R. Astron. Soc
2005
Earlier work this paper cites.
C. M. Will, “The confrontation between general relativity and experiment,” Living Rev. Relativity
2006
Earlier work this paper cites.