Brane Kantowski-Sachs Universe with Linear Equation of State and a Future Singularity

We consider the brane Kantowski-Sachs universe when bulk space is five-dimensional anti-de Sitter obeying a linear equation of state of the form p = (gamma -1)rho + p(0), where gamma and p(0) are parameters. In this framework we discuss the brane Kantowski-Sachs cosmology and compare it with standard Kantowski-Sachs cosmology in the Einstein theory for some specific matter choice. For several specific choices of the relation between energy and pressure, the behavior of the scale factors at early times is found. It is shown that the brane Kantowski-Sachs cosmology may quickly become isotropic with some choices of matter. We also discuss the universe fate of Kantowski-Sachs cosmological model by means of a rip or singularity in both theories.