  We consider simplified dark matter models (DM) interacting gravitationally
with the standard model (SM) particles in a Randall-Sundrum (RS) framework. In
this framework, the DM particles interact through the exchange of spin-2
Kaluza-Klein (KK) gravitons in the $s$-channel with the SM particles. The
parameter space of the RS model with universal couplings to SM particles is
known to be strongly constrained from the LHC data. We are thus led to consider
models with non-universal couplings. The first model we consider in this study
is a top-philic graviton model in which only the right-handed top quarks are
taken to interact strongly with the gravitons. In the second, the lepto-philic
model, we assume that only the right-handed charged leptons interact strongly
with the gravitons. We extend the study to include not only the scalar, vector
and spin-1/2 fermions but also spin-3/2 fermionic dark matter. We find that
there is a large parameter space in these benchmark models where it is possible
to achieve the observed relic density consistent with the direct and indirect
searches and yet not to be constrained from the LHC data.
