There are 2 artists with the name Exedra (or exedra).

1) Exedra was a Gothic Rock band from Germany in the mid 90's. They were signed to Alice In... and then Red Herring.

According to a myspace tribute page the line up consisted of:
André Gutsmuths (Vocals)
Ulrich Klein (Bass)
Martin Kasprzak (Guitar)
Michael Lang (Guitar)
Christoph Soergel (Guitar)
Ragnar (Guitar)
Torben Stupp (Guitar)
Thomthom Geigenschrey (Violin)
Patrick Schürfeld (Design, Artwork).

Discography:
1995 - Kingdom of the Blind
1998 - Welcome to the Death Disco (EP)

2) exedra is a UK-based collaboration between Barracudas/Carbon Manual/Plasticon artist Jeremy Gluck and English musician Darrall Knight.
You can find out more at http://www.artisttrove.com/artist/450552028325588/exedra
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Artist biography from last.fm