Da. Leahy et L. Li, INCLUDING THE EFFECT OF GRAVITATIONAL LIGHT BENDING IN X-RAY PROFILE MODELING, Monthly Notices of the Royal Astronomical Society, 277(3), 1995, pp. 1177-1184
The purpose of this work is to generalize pulse shape modelling to inc
lude the effect of light bending due to general relativity. A simple a
nalytical formula is found to describe the light-bending effect accura
tely, and is incorporated into the emission model for calculation of t
he pulse shapes from rotating accreting neutron stars. Least-squares f
ittings are performed to a subset of pulsars studied by Leahy. The fit
tings with light bending show significant improvement over the fitting
s without light bending, and the resulting derived emission region geo
metry gives narrower rings, as expected on theoretical grounds. The mo
del is also applied to the transient pulsar EXO 2030 + 375. The relati
on between the luminosity and the properties of the emission rings is
studied. For this pulsar we conclude that some effect other than chang
ing emission ring size is responsible for the change in pulse shape.