Equilibrium of spinning test particles in the Schwarzschild-de Sitter spacetimes

The possibility of equilibrium of test particles with spin located in the S chwarzschild-de Sitter spacetimes is investigated. The stationary equilibri um conditions resulting from the equations of motion and the equations of s pin dynamics have to be satisfied simultaneously. It is shown that the equi librium conditions are independent of the spin of the test particles; they are satisfied only at the so called static radius where the gravitational a ttraction is compensated by the cosmological repulsion.