  The vacuum expectation value of the surface energy-momentum tensor is
evaluated for a scalar field obeying Robin boundary condition on a spherical
brane in (D+1)-dimensional spacetime $Ri\times S^{D-1}$, where $Ri$ is a
two-dimensional Rindler spacetime. The generalized zeta function technique is
used in combination with the contour integral representation. The surface
energies on separate sides of the brane contain pole and finite contributions.
Analytic expressions for both these contributions are derived. For an
infinitely thin brane in odd spatial dimensions, the pole parts cancel and the
total surface energy, evaluated as the sum of the energies on separate sides,
is finite. For a minimally coupled scalar field the surface energy-momentum
tensor corresponds to the source of the cosmological constant type.
