  This paper is devoted to the approach to gravity as a theory of a surface
embedded in a flat ambient space. After the brief review of the properties of
original theory by Regge and Teitelboim we concentrate on its field-theoretic
reformulation, which we call splitting theory. In this theory embedded surfaces
are defined through the constant value surfaces of some set of scalar fields in
high-dimensional Minkowski space. We obtain an exact expressions for this
scalar fields in the case of Friedmann universe. We also discuss the features
of quantisation procedure for this field theory.
