Gravitational radiation during fragmentation of a rotating neutron star

Astronomy and Astrophysics – Astronomy

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Scientific paper

We present calculations of the evolution of a rotating neutron star that is unstable to the development of a sectorial mode which causes fragmentation. The equation of state was chosen to be that of a cold degenerate neutron gas, P rho^{5/3}. The mass and angular momentum of the star were taken to be the same as those for a collapsing, rigidly rotating, iron-oxygen stellar core: M = 2 M_solar and J = 8 x 1049 erg s, respectively. The choice of the rotation law for which the ratio of the centrifugal force to the gravity is constant completes the construction of the initial model. As a result of its evolution, the star loses part of its mass and angular momentum and decreases the rotation energy - E_k / E_gr from 0.35 to 0.19. The gravitational radiation calculated in the quadrupole approximation carries away the energy 8.4 x 1049 erg and the angular momentum 1.0 x 1047 erg s. The typical metric perturbation is rh 10^4 cm, and the wave frequency is 1 kHz.

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