Equation of state of dense matter and maximum rotation frequency of neutron stars.

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Dense Matter, Stars: Neutron, Pulsars: General-Equation Of State

Scientific paper

Maximum rotation frequency of uniformly rotating neutron star models, determined by the mass shedding condition, {OMEGA}_max_, has been calculated using a high precision numerical method, for a large set of equations of state of dense matter. The values of {OMEGA}_max_ for the subset of equations of state, which are causal within neutron star models, are fitted, within a few percent, by an empirical formula {OMEGA}_max_=~0.77x10^4^s^-1^(M_s_/Msun_)^1/2^(R_s_/10km)^-3/2^, where M_s_, R_s_ are mass and radius of the maximum allowable mass configuration of non-rotating models. Systematic deviations from empirical formula are correlated with stiffness of the equation of state of dense matter.

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