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

Mathematics – Logic

Scientific paper

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Cosmology: Space-Time

Scientific paper

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

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