Large $r$ against Trans-Planckian Censorship in Scalar-Tensor Theory?
  In this paper, we discuss about the possibility to enhance the
tensor-to-scalar ratio $r$ under the condition of Trans-Planckian censorship
conjecture (TCC), thus $r\sim O(10^{-3})$ could be observable within the
sensitivity of future experiments. We make use of the scalar-tensor theory
where inflaton is nonminimally coupled to gravity. After demonstrating that the
TCC condition could be modified in scalar-tensor theory, we show that due to
the effects of modified gravity at the end of inflation, a large $r\sim
O(10^{-3})$ could be allowed without violating the TCC. Moreover, the
modification can give rise to a weak coupling of gravity to the inflation
field. If such an effect has been present as early as inflation starts, it
would imply that in our case, the Universe might have experienced an
asymptotically safe period at its early time.
