In a longer text, with a longer bibliography, the bibliography inherits the running header lines from the previous chapter/section (instead of displaying "Bibliography"), which appears to be due to the \chapter* usage. However, I would not want to change this to \chapter to avoid the numbering and maintain the nice appearance in the TOC. So: Is there a fix for that? (I assume the same applies to the Index, though my index is still only one page, therefore I can't check)
The easiest and dirtiest fix for this is to simply remove headers once the bibliography/index starts by inserting a \pagestyle{empty} just before \chapter*{Bibliography}. Of course, if you want the headers but just want them to say Bibliography/Index this will require a bit more digging. Let me know if you can't find the solution to this and I'll look around a bit more.
Cheers,
Vel
Founder and administrator of LaTeXTemplates.com and LaTeXTypesetting.com