The Normalization of the Relativistic Reflection: The Definition of the Reflection Fraction and its Implementation in relxill

The relxill model, which employs general relativistic ray-tracing methods, is used to predict the reflection. Results are compared with previous models and a Monte Carlo simulation. While for the reflection fraction the normalization parameter does not change with the inclination to the system, the reflection strength shows a clear dependence. The strongest reflection is created for large spin and low source height in every case. A slowly rotating black hole is not capable of producing an enhanced relativistic reflection, i.e. a reflection stronger than the direct continuum. Using the definition of the intrinsic reflection fraction in the relxill model, allows us to draw conclusions about the geometry of the system when fitting measured data. It is also shown that such a definition yields a reflection fraction parameter, which is not correlated directly with the relativistic parameters. As of v0.4a of the relxill model, this parameter is now implemented with the name refl_frac in all flavors of the model, including the non-relativistic reflection model xillver.