Surface vacuum energy and stresses for a brane in de Sitter spacetime

TL;DR

This paper investigates the vacuum expectation values of surface energy-momentum for a scalar field on a brane in de Sitter space, using conformal relations to relate to Rindler spacetime, revealing insights into quantum effects in curved backgrounds.

Contribution

It introduces a method to compute vacuum surface densities for a scalar field on a brane in de Sitter space via conformal mapping to Rindler spacetime.

Findings

Derived expressions for vacuum surface densities in de Sitter spacetime.

Showed the influence of boundary conditions on vacuum energy-momentum.

Provided insights into quantum effects near branes in curved backgrounds.

Abstract

Vacuum expectation values of the surface energy-momentum tensor is investigated for a massless scalar field obeying mixed boundary condition on a brane in de Sitter bulk. To generate the corresponding vacuum surface densities we use the conformal relation between de Sitter and Rindler spacetimes.