Graviton production in anti-de Sitter braneworld cosmology: A fully consistent treatment of the boundary condition

Abstract

In recent work by two of us, [Durrer & Ruser, PRL 99, 071601 (2007); Ruser & Durrer PRD 76, 104014 (2007)], graviton production due to a moving spacetime boundary (braneworld) in a five dimensional bulk has been considered. In the same way as the presence of a conducting plate modifies the electromagnetic vacuum, the presence of a brane modifies the graviton vacuum. As the brane moves, the time dependence of the vacuum leads to particle creation via the so called 'dynamical Casimir effect'. In our previous work a term in the boundary condition which is linear in the brane velocity has been neglected. In this work we develop a new approach which overcomes this approximation. We show that the previous results are not modified if the brane velocity is low.

13 pages, 6 figures, added a clarifying paragraph about the setup, the brane motion adapted w.r.t the version published in PRD

References in corpus (20)

• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• Brane-world gravity
• Designing Cyclic Universe Models
• Quantum electromagnetic field in a three dimensional oscillating cavity
• Inflation versus Cyclic Predictions for Spectral Tilt
• Gravity waves from inflating brane or Mirrors moving in adS${}_5$
• Primordial gravitational waves in inflationary braneworld
• The dynamical Casimir effect in braneworlds
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Late time behavior of cosmological perturbations in a single brane model
• Vibrating Cavities - A numerical approach
• Numerical investigation of photon creation in a three-dimensional resonantly vibrating cavity: TE-modes
• Dynamical Casimir effect for gravitons in bouncing braneworlds
• Numerical approach to the dynamical Casimir effect
• Quantum-mechanical generation of gravitational waves in braneworld
• On graviton production in braneworld cosmology
• Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
• Braneworlds
• Tachyonic perturbations in AdS${}_5$ orbifolds