The Casimir Effect on Background of Conformally Flat Brane--World Geometries

Abstract

The Casimir effect due to conformally coupled bulk scalar fields on background of conformally flat brane-world geometries is investigated. In the general case of mixed boundary conditions formulae are derived for the vacuum expectation values of the energy-momentum tensor and vacuum forces acting on boundaries. The special case of the AdS bulk is considered and the application to the Randall-Sundrum scenario is discussed. The possibility for the radion stabilization by the vacuum forces is demonstrated.

10 pages, 4 figures, references added, accepted for publication in Phys. Lett. B

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• Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime
• Graviton modes in multiply warped geometry
• Thermal effects on the Casimir energy of a Lorentz-violating scalar in magnetic field
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• The one-loop vacuum energy and RG flow induced by double-trace operators in AdS/CFT and dS/CFT correspondence
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• Casimir effect in de Sitter spacetime
• Radion and moduli stabilization from induced brane actions in higher-dimensional brane worlds
• The role of higher derivative bulk scalar in stabilizing a warped spacetime
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• Matter-gravity interaction in a multiply warped braneworld,
• Second order brane cosmology with radion stabilization
• Supersymmetry breaking and the radion in AdS_4 brane-worlds
• Quantum vacuum effects in braneworlds on AdS bulk
• The Casimir Effect for Generalized Piston Geometries
• Casimir effect in Domain Wall formation
• The Casimir force between parallel plates in Randall-Sundrum I model
• The Casimir force in noncommutative Randall-Sundrum models
• A Naturally Minute Quantum Correction to the Cosmological Constant Descended from the Hierarchy
• Vacuum densities and the Casimir forces for branes orthogonal to the AdS boundary
• The Casimir force on a piston at finite temperature in Randall-Sundrum models
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• Casimir effect for scalar fields with Robin boundary conditions in Schwarzschild background
• Vacuum densities for a thick brane in AdS spacetime
• Revisiting Quantum Stabilization of the Radion in Randall-Sundrum Model
• Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space
• Casimir effect for a spherical shell in de Sitter spacetime with signature change
• Casimir stress on parallel plates in de Sitter space with signature change
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• Electromagnetic Wightman functions and vacuum densities for a brane intersecting the AdS boundary