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

摘要

In this paper, we calculate the stress-energy tensor for a quantized massless conformally coupled scalar field with a background of conformally flat brane-world geometries, where the scalar field satisfies Robin boundary conditions on two parallel plates. In the general case of Robin boundary conditions formulae are derived for the vacuum expectation values of the energy-momentum tensor. Further the surface energy per unit area is obtained. As an application of the general formulae we have considered the important special case of the AdS4 + 1 bulk; moreover the application to the Randall-Sundrum scenario is discussed. In this specific example for a certain choice of Robin coefficients, one could make the effective cosmological constant vanish.