Vacuum quantum effect for curved boundaries in static Robertson--Walker spacetime

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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7 pages, no figures; Clarifying comments added, no physics changed, version to appear in PLB (2009)

Scientific paper

The energy-momentum tensor for a massless conformally coupled scalar field in the region between two curved boundaries in $k=-1$ static Robertson--Walker spacetime is investigated. We assume that the scalar field satisfies the Dirichlet boundary condition on the boundaries. $k=-1$ Robertson--Walker space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in Robertson--Walker space from the corresponding Rindler counterpart by the conformal transformation.

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