  We begin a general exploration of the phenomenology of TeV-scale
extra-dimensional models with gravitational actions that contain higher
curvature terms. In particular, we examine how the classic collider signatures
of the models of Arkani-Hamed, Dimopoulos and Dvali (missing energy and new
dimension-8 contact interactions) and of Randall and Sundrum (TeV-scale
graviton Kaluza-Klein resonances) are altered by these modifications to the
usual Einstein-Hilbert action. We find that not only are the detailed
signatures for these gravitationally induced processes altered but new
contributions are found to arise due to the existence of additional scalar
Kaluza-Klein states in the spectrum.
