Neutrino angular momentum loss by the Poynting-Robertson effect

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angular Momentum, Gravitational Collapse, Momentum Transfer, Neutrinos, Neutron Stars, Poynting-Robertson Effect, Stellar Radiation, Stellar Rotation, Energy Dissipation, Optical Thickness

Scientific paper

An exact calculation of the angular-momentum loss is presented for a relativistically rotating spherical body that is radiating null particles; this loss is known classically as the Poynting-Robertson effect. The exact formal expressions reduce to the same relatively simple limiting form either when the radiation is isotropic or when the radiation is radially beamed, in the proper frame of the rotating object. The results are then applied to the particular cases of neutrino emission during stellar collapse and during the early cooling phase of the neutron star formed. In the nonrelativistic limit, an exact expression was obtained for the spin-down which is about 14% depending only on the total amount of energy dissipated and not on the details of the neutrino processes involved. The loss rate is found to be extremely large in the extreme-relativistic limit, but it decreases rapidly so that for beta of about 0.9 the effects are about twice as large as those obtained in the nonrelativistic limit.

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