Publication date: Nov 2001
Abstract:
The equilibrium of a charged test particle with spin located in the
Reissner-Nordström background with a nonzero cosmological constant 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 equilibrium conditions are
independent of the spin of the test particle. For uncharged particles,
they are satisfied at the so-called static radius, where gravitational
attraction is exactly compensated for by cosmological repulsion. For
charged particles, there is a variety of possible equilibria due to the
electromagnetic interaction of the particle and the background. Any
charged particle can be in an unstable equilibrium state between the
black-hole and cosmological horizons of asymptotically de Sitter
spacetimes, while sufficiently repulsed particles can be in an inner
unstable equilibrium state and an outer stable equilibrium state above
the horizon of asymptotically anti-de Sitter spacetimes. The separation-
independent equilibrium is possible in extreme Reissner-Nordström
spacetimes only.
Authors:
Stuchlík, Zdeněk.; Hledík, Stanislav;