Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2009-04-19
Phys.Rev.D82:044047,2010
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
10 pages, RevTex, more typos corrected (combined with arXiv:1003.0614 published in PRD)
Scientific paper
10.1103/PhysRevD.82.044047
In 1+3 (threading) formulation of general relativity spacetime behaves analogous to a medium with a specific index of refraction with respect to the light propagation. Accepting the reality of zero point energy, through the equivalence principle, we elevate this analogy to the case of virtual photon propagation in a quantum vacuum in a curved background spacetime. Employing this new idea one could examine the response of vacuum energy to the presence of a stationary gravitational field in its different quantum field theoretic manifestations such as Casimir effect and Lamb shift. The results are given explicitly for a Casimir apparatus in the weak field limit of a Kerr hole.
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