Oblateness effects on the spindown of fast pulsars

Physics

Scientific paper

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Pulsars, Stellar Models, Stellar Rotation, Gravitational Waves, Neutron Stars, Oblate Spheroids, Stellar Evolution

Scientific paper

Calculations are presented to show that the increase in the moment of inertia and in the gravitational self-energy of a spheroid such as a pulsar due to its oblateness can lead to substantial deviations of its evolution as described by existing analytical models. A formulation is defined for the spindown of an oblate spheroid due to emission of em radiation by a frozen-in magnetic dipole. The spindown rate is shown to increase significantly in short periods whenever the oblateness is substantial. It is also found that accelerating changes in the period can yield observable evidence for oblateness among pulsars. Furthermore, since the intensity of gravitational radiation increases as a function of the 6th power of the angular speed, gravity waves in detectable quantities will be emitted by pulsars that have at least a 1/1,000,000th deviation from axisymmetry.

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