Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-03-02
Phys.Rev.D82:044047,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
11 pages, RevTex, typos corrected (combined with arXiv:0904.2904 published in PRD)
Scientific paper
10.1103/PhysRevD.82.044047
In a recent paper [arXiv:0904.2904] using a conjecture it is shown how one can calculate the effect of a weak stationary gravitational field on vacuum energy in the context of Casimir effect in an external gravitational field treated in 1+3 formulation of spacetime decomposition.. In this article, employing quntum field theory in curved spacetime, we explicitly calculate the effect of a weak static gravitational field on virtual massless scalar particles in a Casimir apparatus. It is shown that, as expected from the proposed conjecture, both the frequency and renormalized energy of the virtual scalar field are affected by the gravitational field through its index of refraction. This could be taken as a strong evidence in favour of the proposed conjecture. Generalizations to weak {\it stationary} spacetimes and virtual photons are also discussed.
Nazari B.
Nouri-Zonoz Mohammad
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