The Effects of Rotation on Thermal XRay Afterglows Resulting from Pulsar Glitches.pdfVIP

The Effects of Rotation on Thermal X-ray Afterglows Resulting from Pulsar Glitches C. Y. Hui1 and K. S. Cheng2 Department of Physics, The University of Hong Kong, PRC 4 0 0 ABSTRACT 2 r a M We derive the anisotropic heat transport equation for rotating neutron stars and the thermal equilibrium condition in a relativistic rotating axisymmetric star 0 1 is also derived through a simple variational argument. With a simple model of 2 neutron star, we model the propagation of heat pulses resulting from transient v energy releases inside the star. Such sudden energy release can occur in 3 3 −1 4 pulsars during glitches. Even in slow rotation limit (Ω ≤ 1 × 10 s ), the 1 results with rotational effects involved could be noticeably different from those 2 1 obtained with a spherically symmetric metric in terms of the time scales and 3 magnitudes of thermal afterglow. The effects of gravitational lensing and frame 0 / dragging on the X-ray light curve pulsations are also studied. The results we h p obtain indicate that the effect of rotation on the light curve modulation is small, - o and the spacetime curvature effect predominates. The metric components and r t rotational deformation on the stellar structure are calculated by using Hartle- s a Thorne formalism. We have applied our model to study the thermal : v response time scales o