Moduli and graviton production during moduli stabilization

In theories beyond the Standard Model, in particular with extra spatial dimensions such as superstring theory, there are a large number of scalar fields which appear low energy effective action. These moduli must be stabilized. Often, stabilization involves stage during oscillatte coherently about their ground state value. Here, we study and graviton production period background modulus field is oscillating, assuming that this takes place radiation phase. We find resonant fluctuations, tachyonic instability to generation long wavelength gravitational waves. As consequence, short on Hubble time scale.