  I present a {\em general relativistic} model with a compactified second time
coordinate that {\em a priori} allows for causal, yet faster than light travel
in the background of a FLRW geometry, by local modification of a higher
dimensional background geometry, specifically with respect to the radius of the
compactified time coordinate. The modification can be induced via the fields of
the model.
  I show that one cannot convert (as possible in special relativistic models,
or simple general relativistic models) the super-luminality into closed
time-like loops violating causality, due to a novel combination of factors, at
least for $v_{\rm max}\leq \sqrt{2}$. The physics of the second time is
constrained by postulates derived from reasonable physical assumptions.
  I comment on the possibility of experimental implications of the model.
