Casimir effect for concentric spheres in de Sitter spacetime with signature change

Details Casimir effect for concentric spheres in de Sitter spacetime with signature change Casimir effect for concentric spheres in de Sitter spacetime with signature change

2007-03-30

arxiv.org/abs/gr-qc/0703153v2

Int . J. Theor. Phys 48: 815--824 (2009)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, no figures, accepted for publication in IJTP

Scientific paper

10.1007/s10773-008-9855-2

We revisit the Casimir effect for two concentric spherical shells in de Sitter background with a new geometric configuration, namely Euclidean signature between and Lorentzian signature outside the spheres with different cosmological constants, for a massless scalar field satisfying Dirichlet boundary conditions on the spheres. It is shown that an extra constant pressure emerges due to this signature changing configuration. Some interesting aspects of this extra term are then discussed.

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