  Spatial dependencies of the pair potential and the local density of states
near the surfaces of $d_{x^{2}-y^{2}}$-wave superconductors are studied
theoretically. The calculation is based on the t-J model within a mean-field
theory with Gutzwiller approximation. Various types of surface geometries are
considered. Similar to our result in the extended Hubbard model, it is found
that the formation of zero-energy states strongly depends on the surface
geometry. In addition to this feature, the zero-energy states give peak
splitting for the (110) surfaces when the super-exchange interaction $J$ is
large. This is due to the induced s-wave component near the surface. The
present result explains the microscopic origin of the spontaneous time-
reversal symmetry breaking at the surfaces of high-$T_{c}$ superconductors.
