Casimir energy-momentum tensor for the Robin Surfaces in de Sitter Spacetime

TL;DR

This paper calculates the vacuum energy-momentum tensor for a conformally coupled scalar field with Robin boundary conditions on curved branes in de Sitter space, using conformal relations to Rindler space.

Contribution

It provides a method to derive the energy-momentum tensor in de Sitter space from Rindler space results for Robin boundary conditions.

Findings

Vacuum expectation values of energy-momentum tensor obtained for de Sitter space.

Conformal transformation relates de Sitter and Rindler space results.

Analysis of scalar fields with Robin boundary conditions in curved spacetime.

Abstract

The energy-momentum tensor for a massless conformally coupled scalar field in de Sitter spacetime in the presence of a couple curved branes is investigated. We assume that the scalar field satisfies the Robin boundary condition on the surfaces. Static de Sitter space is conformally related to the Rindler space, as a result we can obtain vacuum expectation values of energy-momentum tensor for conformally invariant field in static de Sitter space from the corresponding Rindler counterpart by the conformal transformation.