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Spherical Casimir pistons
2011
Classical and quantum gravity
A piston is introduced into a spherical lune Casimir cavity turning it into two adjacent lunes separated by the (hemispherical) piston. On the basis of zeta function regularisation, the vacuum energy of the arrangement is finite for conformal propagation in space-time. For even spheres this energy is independent of the angle of the lune. For odd dimensions it is shown that for all Neumann, or all Dirichlet, boundary conditions the piston is attracted or repelled by the nearest wall if d=3,7,...
doi:10.1088/0264-9381/28/15/155018
fatcat:6cbyzhikgfglfkhsjhs2mz5xni