Surface Casimir densities on a spherical brane in Rindler-like spacetimes

Details Surface Casimir densities on a spherical brane in Rindler-like spacetimes Surface Casimir densities on a spherical brane in Rindler-like spacetimes

2005-12-21

arxiv.org/abs/hep-th/0512278v2

Phys.Lett.B637:5-11,2006

Physics

High Energy Physics

High Energy Physics - Theory

12 pages, discussion and references added

Scientific paper

10.1016/j.physletb.2006.04.037

The vacuum expectation value of the surface energy-momentum tensor is evaluated for a scalar field obeying Robin boundary condition on a spherical brane in (D+1)-dimensional spacetime $Ri\times S^{D-1}$, where $Ri$ is a two-dimensional Rindler spacetime. The generalized zeta function technique is used in combination with the contour integral representation. The surface energies on separate sides of the brane contain pole and finite contributions. Analytic expressions for both these contributions are derived. For an infinitely thin brane in odd spatial dimensions, the pole parts cancel and the total surface energy, evaluated as the sum of the energies on separate sides, is finite. For a minimally coupled scalar field the surface energy-momentum tensor corresponds to the source of the cosmological constant type.

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