Brane world scenario with m-form field: stabilisation of radion modulus and self-tuning solutions

We consider (n + m + 1)-dimensional bulk spacetime, containing flat (n + m - 1)-dimensional parallel branes, with topology Rn-1 x T-m. We assume that the graviton and an m-form field are the only bulk fields and that the in-f orm field has nonvanishing components along the T-m directions only. We the n find that the m-form field, with suitable bulk and brane potentials, can stabilise the radion modulus at the required value with no fine tuning. We find self-tuning solutions also. (C) 2000 Elsevier Science B.V. All rights reserved.