Differentially-rotating neutron star models with a parametrized rotation profile

F. Galeazzi, S. Yoshida, Y. Eriguchi

Research output: Contribution to journalArticlepeer-review

38 Citations (Scopus)


We analyze the impact of the rotation law on equilibrium sequences of relativistic differentially-rotating neutron stars in axisymmetry. The maximum allowed mass for each model is strongly affected by the distribution of the angular velocity in the radial direction and by the consequent degree of differential rotation. To study the wide parameter space implied by the choice of the rotation law, we introduce a functional form that generalizes the so-called "j-const. law" adopted in all previous work. We compute equilibrium sequences of differentially rotating stars with a polytropic equation of state starting from the spherically symmetric static case. By analyzing the sequences with decreasing degrees of differential rotation, we find that the maximum value of the ratio T/|W| of rotational kinetic energy to gravitational binding energy, is substantially limited in these cases to a value of 0.128.

Original languageEnglish
Article numberA156
JournalAstronomy and Astrophysics
Publication statusPublished - 2012
Externally publishedYes


  • Gravitation
  • Stars: interiors
  • Stars: neutron
  • Stars: rotation

ASJC Scopus subject areas

  • Astronomy and Astrophysics
  • Space and Planetary Science


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