  The five-dimensional space-time, with non-factorizable geometry and fifth
dimension y being an orbifold S^1/Z_2, is studied. In such a scenario,
originally suggested by Randall and Sundrum, there exist two branes at fixed
points of the orbifold, and the four-dimensional metric is multiplied by a warp
factor exp[sigma(y)]. In the present paper, the general solution sigma(y) of
the Einstein-Hilbert's equations is presented which is symmetric with respect
to the interchange of two branes. It obeys the orbifold symmetry y -> - y and
explicitly reproduces jumps of its derivative on both branes. This general
solution for sigma(y) is determined by the Einstein-Hilbert's equations up to a
constant, that results in physically diverse schemes.
