Gravitational wave damping of neutron star wobble - art. no. 024002

We calculate the effect of gravitational wave (GW) back reaction on realist ic neutron stars (NS's) undergoing torque-free precession. By "realistic" w e mean that the NS is treated as a mostly fluid body with an elastic crust, as opposed to a rigid body. We find that GW's damp NS wobble on a time scal e tau (theta)similar to2 x 10(5) yr [10(-7)/(DeltaI(d)/I-0)](2)(kHz/v(s))(4 ), where v(s) is the spin frequency and DeltaI(d) is the piece of the NS's inertia tensor that "follows" the crust's principal axis (as opposed to its spin axis). We give two different derivations of this result: one based so lely on energy and angular momentum balance, and another obtained by adding the Burke-Thorne radiation reaction force to the Newtonian equations of mo tion. This problem was treated long ago by Bertotti and Anile, but their cl aimed result is wrong. When we convert from their notation to ours, we find that their tau (theta) is too Short by a factor of similar to 10(5) for th e typical cases of interest and even has the wrong sign for DeltaI(d) negat ive. We show where their calculation went astray.