To make sure I understand, you are working with a stone that has a textured finish - kind of like the texture of an old leather belt ("antiqued")? If that finish is what you are trying to mimic you can get it by using antiquing brushes on your wet polisher. If the stone gets lighter on your edge detail than on your top you may have to address that. Absolute Black is often a stained stone that has other issues, but we shouldn't address those unless they show up.
Here is a link to the antiquing brushes. They are available with a velcro backer or with a snaillock backer:
http://www.defusco.com/Diamond-Products-Diamond-Polishing-Pads-&-Backers-Tenax-422-Antiquing-Brushes/c25_30_720/index.htmlGlad to be of service,
Mark