The Casimir effect in a wormhole spacetime

2005/10/31 by Artem R. Khabibullin, Artem R Khabibullin, Nail R. Khusnutdinov +3
Physics and Astronomy · #Advanced Mathematical Theories and Applications #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #gr-qc #hep-th

paper · pdf · doi:10.1088/0264-9381/23/3/006

published as Class.Quant.Grav. 23 (2006) 627-634 · 2 figures, 10 pages, added 2 references

arxiv created 2005/11/04 · openalex publication_date 2006/01/10 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30

Abstract

We consider the Casimir effect for a quantized massive scalar field with non-conformal coupling ξ in a wormhole spacetime whose throat is surrounded by a spherical shell. In the framework of the zeta-regularization approach we calculate the zero-point energy of the scalar field. We find that depending on values of the coupling ξ, a mass of field m and/or the throat's radius a , the Casimir force may be both attractive and repulsive, and even equals zero.

Citations

• Ground state energy for a penetrable sphere and for a dielectric ball
• Quantum Electromagnetic Zero-Point Energy of a Conducting Spherical Shell and the Casimir Model for a Charged Particle
• New Developments in the Casimir Effect
• Casimir Energies and Pressures for δ-function Potentials