Vorticity affects the stability of neutron stars

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

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Small changes to match the version to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.84.2560

The spin rate \Omega of neutron stars at a given temperature T is constrained by the interplay between gravitational-radiation instabilities and viscous damping. Navier-Stokes theory has been used to calculate the viscous damping timescales and produce a stability curve for r-modes in the (\Omega,T) plane. In Navier-Stokes theory, viscosity is independent of vorticity, but kinetic theory predicts a coupling of vorticity to the shear viscosity. We calculate this coupling and show that it can in principle significantly modify the stability diagram at lower temperatures. As a result, colder stars can remain stable at higher spin rates.

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