Kavli Affiliate: Renxin Xu
| First 5 Authors: Tingting Lin, Shuang Du, Renxin Xu, ,
| Summary:
Magnetic field may distort neutron stars (NSs), but the effect has not been
robustly tested through gravitational-wave observation yet due to the absence
of a fast rotating Galactic magnetar. The central objects of Gamma-ray bursts
(GRBs) could be millisecond magnetars. Under the magnetar scenario on the X-ray
plateaus of GRB afterglows,the spindown evolution modulated by the
gravitational-wave radiation may be inferred from some special samples, so that
the magnetically-induced distorting can be further estimated. According to two
samples, GRB 060807 and GRB 070521, we found that the correlation between the
effective ellipticity, $varepsilon_{rm B,eff}$, and effective dipole magnetic
field strength on a neutron star (NS) surface, $B_{rm eff}$, is
$varepsilon_{rm B,eff}sim 10^{-4} (frac{B_{rm eff}}{10^{14};rm G})^{2}$.
This result demands that $B_{rm eff}sim 0.01 B_{rm t}$ with $B_{rm t}$
being the internal toroidal magnetic field strength of NSs. We suggested that
the torque generated during few unsymmetrical massive-star collapses may induce
differential rotations in proto-NSs to amplify the internal toroidal fields.
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