  We study the embedding theory being a formulation of the gravitation theory
where the independent variable is the embedding function for the
four-dimensional space-time in a flat ambient space. We do not impose
additional constraints which are usually used to remove from the theory the
extra solutions not being the solutions of Einstein equations. In order to show
the possibility of automatic removal of these extra solutions we analyze the
equations of the theory, assuming an inflation period during the expansion of
the Universe. In the framework of FRW symmetry we study the initial conditions
for the inflation, and we show that after its termination the Einstein
equations begin to satisfy with a very high precision. The properties of the
theory equations allow us to suppose with confidence that the Einstein
equations will satisfy with enough precision out of the framework of FRW
symmetry as well. Thus the embedding theory can be considered as a theory of
gravity which explains observed facts without any additional modification of it
and we can use this theory in a flat space when we try to develop a quantum
theory of gravity.
