Stress-energy tensor for parallel plate on background of conformally flat brane-world geometries and cosmological constant problem

2003/08/31 by M. R. Setare
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #hep-th

paper · pdf · doi:10.1140/epjc/s2004-02040-y

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

arxiv created 2004/10/03 · openalex publication_date 2004/11/25 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/29

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 AdS₄₊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.

Citations

• Quantum effects, brane tension, and large hierarchy in the brane world
• Quantum Fields in Curved Space
• Systematics of the relationship between vacuum energy calculations and heat-kernel coefficients
• Large Mass Hierarchy from a Small Extra Dimension
• Nonlinear multidimensional cosmological models with form fields: Stabilization of extra dimensions and the cosmological constant problem
• Boundary effects in quantum field theory
• The Case for a Positive Cosmological Lambda-term