Stable ultracompact objects and an upper bound on neutron star masses

Astronomy and Astrophysics – Astrophysics

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Dense Matter, Equation Of State, Stars: Neutron

Scientific paper

We have proposed a core-envelope model with stiffest equation of state [speed of sound equal to that of light] in the core and a polytropic equation with constant adiabatic index Gamma_1 = [dlnP/dln rho ] in the envelope and obtained a stable configuration with a maximum value of u =~ 0.3574 when the ratio of pressure to density at the core-envelope boundary reaches about 0.014. The maximum mass of neutron star based upon this model comes out to be 7.944 M_sun, if the (average) density of the configuration is constrained by fastest rotating pulsar, with rotation period, Prot =~ 1.558 ms, known to date. The average density of the configuration turns out to be 1.072 x 1014 g cm-3. The model gives dynamically stable configurations with compaction parameter u [equiv (M/R) , where M equiv mass and R equiv radius of the structure] > (1/3) which are important to study Ultra-Compact Objects [UCOs]. The theoretically obtained maximum value of u is also important regarding millisecond oscillations seen during X-Ray burst (if they are produced due to spin modulation) from a rotating neutron star, because the maximum modulation amplitude depends only upon the compaction parameter and the observed value of this amplitude provides a tool for testing theoretical models of neutron stars. The M(envelope)/M(star) ratio corresponds to a value ~ 10-2 which may be relevant in explaining the rotational irregularities in pulsars known as the timing noise and glitches.

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