Casimir cancellations in half an Einstein universe

Mathematics

Scientific paper

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Cosmology, Half Spaces, Manifolds (Mathematics), Stress Tensors, Universe, Cancellation, Dirichlet Problem, Neumann Problem, Vacuum Systems

Scientific paper

An Einstein universe is 'halved' in two ways. The spin-0 field is constrained to satisfy Dirichlet or Neumann boundary conditions on the submanifold S(2) which bounds S(3) equatorially. For the spin-1/2 field, the spatial section is factored to give the lens space S(3)/Z2. In both cases the vacuum expectation value of the stress tensor is identical to that in the complete Einstein universe.

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