Stable ultracompact objects and submillisecond pulsars.

Computer Science

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Millisecond Pulsars: Neutron Stars

Scientific paper

Relativistic objects with the compaction parameter u ≡ (M/R) (mass to size ratio in geometrized units) ≥ (1/3) are important in studying ultra-compact objects (UCOs) and the sub-millisecond pulsars (SMPs). The authors have proposed a model with the stiffest equation of state, dP/dE = 1 (in geometrized units) in the core and a polytropic equation with constant adiabatic index Γ = dlnρ/dlnρ (where ρ is the rest-mass density) in the envelope, acid obtained a stable configuration with a maximum value of u ≅ 0.3574, when the ratio of pressure (P) to energy density (E) on the core-envelope boundary reaches about 0.014. The minimum uniform rotation period (Tmin) of the 1.442 Msun neutron star (the maximum mass of neutron star accurately known to date) based upon this model turns out to be 0.2828 ms and the corresponding average energy density of the configuration is 3.25×1015g cm-3. The M(envelope)/M(star) ratio is found to be about 10-2, which may be relevant in explaining the rotational irregularities in some pulsars known as the timing noise and glitches.

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