Casimir Energy Densities for Parallel Plate on Background of Conformally Flat Brane-World Geometries and Cosmological Constant Problem

Abstract

In this paper, we calculate the stress-energy tensor for a quantized massless conformally coupled scalar field in the background of a conformally flat brane-world geometries, where the scalar field satisfying Robin boundary conditions on two parallel plates. In the general case of Robin boundary conditions formula are derived for the vacuum expectation values of the energy-momentum tensor. Further the surface energy per unit area are obtained . As an application of the general formula we have considered the important special case of the AdS${}_{4+1}$ bulk, moreover application to the Randall-Sundrum scenario is discused. In this specific example for a certain choice of Robin coefficients, one could make the effective cosmological constant vanish.

10 pages,LaTeX,no figure,references added, typos corrected,clarifying comments added, has been accepted for the publication in Eur.Phys.J.C

References in corpus (5)

• Systematics of the Relationship between Vacuum Energy Calculations and Heat Kernel Coefficients
• The Casimir Effect on Background of Conformally Flat Brane--World Geometries
• Avoidance of Naked Singularities in Dilatonic Brane World Scenarios with a Gauss-Bonnet Term
• Casimir energy for de Sitter branes in bulk AdS(5)
• Nonlinear multidimensional cosmological models with form fields: stabilization of extra dimensions and the cosmological constant problem

Cited by in corpus (17)

• Comparing community structure identification
• Analyzing and Modeling Real-World Phenomena with Complex Networks: A Survey of Applications
• Surface Casimir densities and induced cosmological constant in higher dimensional braneworlds
• Finite Temperature Casimir Effect in Kaluza-Klein Spacetime
• Finite temperature Casimir effect in spacetime with extra compactified dimensions
• Casimir Effect in Spacetime with Extra Dimensions -- From Kaluza-Klein to Randall-Sundrum Models
• Finite temperature Casimir effect for massive scalar field in spacetime with extra dimensions
• Surface vacuum energy and stresses for a brane in de Sitter spacetime
• Wightman function and vacuum densities for a Z_2-symmetric thick brane in AdS spacetime
• Negative phase velocity of electromagnetic waves and the cosmological constant
• Vacuum densities for a brane intersecting the AdS boundary
• Dark energy and the hierarchy problem
• Casimir densities for two spherical branes in Rindler-like spacetimes
• Electromagnetic Casimir piston in higher dimensional spacetimes
• Revisiting Vacuum Energy in Compact Spacetimes
• Vacuum Quantum Effects for Parallel Plates Moving by Uniform Acceleration in Static de Sitter Space
• Vacuum densities for a thick brane in AdS spacetime