Julian Barbour is the original author and apparently the only person who published refereed papers on the subject. His most recent preprint on the topic ("time is derived from change", whatever that means) has a few citations, though mostly reviews or peripheral mentions. Admittedly, I did not do a very thorough search.
As far as I can tell, the timeless model failed to generate any excitement among the experts in the field because it does not give a compelling answer to the standard question asked of any new research, "so what?" or, more bluntly, "why should anyone care?". Specifically, it does not make new interesting predictions, simplify any existing models or open any new promising avenues of research.
One could argue that time as classically understood, simply doesn't pay rent, and exhort us into stating that there might be universes that exist were time flows backwards and the likes.
Today's post, Timeless Identity was originally published on 03 June 2008. A summary (taken from the LW wiki):
Discuss the post here (rather than in the comments to the original post).
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