  We study modified gravity theory known as Regge-Teitelboim approach, in which
the gravity is represented by dynamics of a surface isometrically embedded in a
flat bulk. We obtain some particular solutions of Regge-Teitelboim equations
corresponding to a central symmetric vacuum 2+1-dimensional spacetime. In
contrast with GR, this vacuum spacetime is not flat, so it is possible for the
gravitational field to exist even without matter or cosmological constant.
