  We calculate the total gravitational energy and the gravitational energy
density of the de Sitter space using the definition of localized energy that
arises in the framework of the teleparallel equivalent of general relativity.
We find that the gravitational energy can only be defined within the
cosmological horizon and is largely concentrated in regions far from the center
of spherical symmetry, i.e., in the vicinity of the maximal spacelike radial
coordinate $R=\sqrt{ 3 \over \Lambda}$. The smaller the cosmological constant,
the farther the concentration of energy. This result complies with the
phenomenological features of the de Sitter space, namely, the existence of a
radial acceleration directed away from the center of symmetry experienced by a
test particle in the de Sitter space. Einstein already contemplated the de
Sitter solution as a world with a surface distribution of matter, a picture
that is in agreement with the present analysis.
