Check out bassist Todd Kerns and drummer Brent Fitz too (collectively referred to as "Myles Kennedy and The Conspirators") as this is a helluva band altogether.
Slash: Guns N Roses, Slash's Snakepit
Myles Kennedy: Alter Bridge, The Mayfield Four
Brent Fitz: Union, Theory of a Deadman, Alice Cooper, Econoline Crush
Todd Kerns: Age of Electric