  The Becchi-Rouet-Stora-Tyutin (BRST) transformations and equations of motion
of a gravity-two-form-dilaton system are derived from the product of two
Yang-Mills theories in a BRST covariant form, to linear approximation. The
inclusion of ghost fields facilitates the separation of the graviton and
dilaton. The gravitational gauge fixing term is uniquely determined by those of
the Yang-Mills factors which can be freely chosen. Moreover, the resulting
gravity-two-form-dilaton Lagrangian is anti-BRST invariant and the BRST and
anti-BRST charges anti commute as a direct consequence of the formalism.
