Аннотация:Linear approximation in the Møller gravity theory is presented. It is shown that in the case of linear approximation we can treat the frame field over the background as the usual metric field (gravity) and an antisymmetric second rank tensor field with spin 1 (matter). Thus, we have some bosonic matter obtained from geometrical considerations. This matter “feels” the reference frame structure by means of interacting with a background frame, and in the general case has an effective mass, depending on time and position. Thus, the properties of that matter depend in an unusual way upon the background. We review briefly the theory for an arbitrary choice of the background and pay a special attention to some interesting cases, such as flat the Minkowski space or Schwarzschild backgrounds.
