Casimir effect in a wormhole spacetime

Abstract

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

2 figures, 10 pages, added 2 references

References in corpus (23)

• New Developments in the Casimir Effect
• Heat kernel expansion: user's manual
• Zeta Functions and the Casimir Energy
• Heat-kernel coefficients of the Laplace operator on the D-dimensional ball
• Casimir energies for massive fields in the bag
• Quantum Field Theory Constrains Traversable Wormhole Geometries
• The Dirichlet Casimir Problem
• On the ground state energy for a penetrable sphere and for a dielectric ball
• Self-consistent Wormhole Solutions of Semiclassical Gravity
• Heat Kernel Expansion for Semitransparent Boundaries
• Casimir Energies and Pressures for $\delta$-function Potentials
• Ground State Energy of Massive Scalar Field in the Background of Finite Thickness Cosmic String
• Vacuum energy in a spherically symmetric background field
• Heat trace asymptotics with transmittal boundary conditions and quantum brane-world scenario
• Nonsmooth backgrounds in quantum field theory
• Self Sustained Traversable Wormholes?
• Ground state energy in a wormhole space-time
• The ground state energy of a massive scalar field in the background of a semi-transparent spherical shell
• Semiclassical wormholes
• Ground State Energy of Massive Scalar Field Inside a Spherical Region in the Global Monopole Background
• Vacuum energy of a massive scalar field in the presence of a semi-transparent cylinder
• Semiclassical and Quantum Field Theoretic Bounds for Traversable Lorentzian Stringy Wormholes
• Partition function for a singular background

Cited by in corpus (25)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Self sustained phantom wormholes in semi-classical gravity
• General class of vacuum Brans-Dicke wormholes
• Self-sustained traversable wormholes in noncommutative geometry
• GUP Corrected Casimir Wormholes in $f(Q)$ Gravity
• Self-sustained wormholes in modified dispersion relations
• Exact wormhole solutions with nonminimal kinetic coupling
• Casimir Energy of a Long Wormhole Throat
• Self-force of a point charge in the space-time of a symmetric wormhole
• Traversable Wormholes and Classical Scalar Fields
• Casimir Effect in a Schwarzschild-Like Wormhole Spacetime
• Casimir Effect Nearby and Through a Cosmological Wormhole
• Casimir wormhole with GUP correction in extended symmetric teleparallel gravity
• Relativistic quantum oscillator under rainbow gravity's effects in traversable wormhole with disclination
• Gravitational bending angle with finite distances by Casimir wormholes
• Traversable wormholes with double layer thin shells in quadratic gravity
• Coupled fermion-antifermion pairs within a traversable wormhole
• Klein-Gordon oscillators in traversable wormhole rainbow gravity spacetime: Conditional exact solvability via a throat radius and oscillator frequency correlation
• Thermal Casimir effect in the Einstein Universe with a spherical boundary
• Vacuum polarization of a massive scalar field in a wormhole spacetime
• Casimir Wormholes in (2+1) Dimensions with Applications to the Graphene
• Scattering by a topological defect connecting two asymptotically Minkowski spacetimes
• Self-interaction for particles in the wormhole space-times
• Josephson junction formed in the wormhole space time from the analysis for the critical temperature of Bose-Einstein condensate
• Casimir traversable wormholes in Gauss-Bonnet gravity