  A new mechanism is proposed for generating neutrino masses radiatively
through a non-minimal coupling to gravity of fermionic bilinears involving
massive neutral fermions. Such coupling terms can arise in theories where the
gravity sector is augmented by a scalar field. They necessarily violate the
principle of equivalence, but such violations are not ruled out by present
experiments. It is shown that the proposed mechanism is realised most
convincingly in theories of the Randall- Sundrum type, where gravity couples
strongly in the TeV range. The mechanism has the potential for solving both the
solar and atmospheric neutrino problems. The smallness of neutrino masses in
this scenario is due to the fact that the interaction of the massive neutral
fermions arises entirely from higher-dimensional operators in the effective
Lagrangian.
