A refined ephemeris and phase resolved X-ray spectroscopy of the Geminga   pulsar
  We present a refined phase-connected post-glitch ephemeris for the Geminga pulsar that is a good fit to all the post-glitch data from EGRET, ASCA, and XMM. We also present the results of phase-resolved spectroscopy of two XMM X-ray observations of the Geminga pulsar obtained in 2002 and 2004. An investigation is made into a previously claimed existence of a small hot spot on the neutron star surface. We conclude that that interpretation was more likely an artifact of an overly restrictive assumption used to fit the phase-resolved spectra, namely, that the spectral index of the non-thermal component is constant. When we allow the spectral index to vary as a function of rotation phase, we find systematic variations in spectral index, and such fits do not require an additional, hot blackbody component. 
M. S. Jackson and J. P. Halpern