Initial Kaluza-Klein fluctuations and inflationary gravitational waves in braneworld cosmology

Abstract

We study the spectrum of gravitational waves generated from inflation in the Randall-Sundrum braneworld. Since the inflationary gravitational waves are of quantum-mechanical origin, the initial configuration of perturbations in the bulk includes Kaluza-Klein quantum fluctuations as well as fluctuations in the zero mode. We show, however, that the initial fluctuations in Kaluza-Klein modes have no significant effect on the late time spectrum, irrespective of the energy scale of inflation and the equation of state parameter in the post-inflationary stage. This is done numerically, using the Wronskian formulation.

arXiv comment7 pages, 6 figures

References in corpus (25)

• An Alternative to Compactification
• Gravitational Wave Experiments and Early Universe Cosmology
• Non-conventional cosmology from a brane-universe
• Possibility of Direct Measurement of the Acceleration of the Universe Using 0.1 Hz Band Laser Interferometer Gravitational Wave Antenna in Space
• Brane cosmological evolution in a bulk with cosmological constant
• Brane-world gravity
• Dynamics of Anti-de Sitter Domain Walls
• Brane-world cosmology
• Gravitational waves from inflation on the brane
• Brane-world solutions, standard cosmology, and dark radiation
• Gravity waves from inflating brane or Mirrors moving in adS${}_5$
• Primordial gravitational waves in inflationary braneworld
• Evolution of gravitational waves from inflationary brane-world : numerical study of high-energy effects
• Evolution of gravitational waves in Randall-Sundrum cosmology
• The spectrum of gravitational waves in Randall-Sundrum braneworld cosmology
• Late time behavior of cosmological perturbations in a single brane model
• Cosmological tensor perturbations in the Randall-Sundrum model: evolution in the near-brane limit
• Evolution of gravitational waves in the high-energy regime of brane-world cosmology
• Quantum-mechanical generation of gravitational waves in braneworld
• Causal Structure and Gravitational Waves in Brane World Cosmology
• On graviton production in braneworld cosmology
• High-energy effects on the spectrum of inflationary gravitational wave background in braneworld cosmology
• Multiple-scales analysis of cosmological perturbations in brane-worlds
• Leading order corrections to the cosmological evolution of tensor perturbations in braneworld
• Relic gravitons on Kasner-like branes

Cited by in corpus (10)

• Dynamical Casimir effect for gravitons in bouncing braneworlds
• Gravitational waves and cosmological braneworlds: a characteristic evolution scheme
• Scalar perturbations in braneworld cosmology
• Primordial perturbations from slow-roll inflation on a brane
• Numerical study of curvature perturbations in a brane-world inflation at high-energies
• Brane-world inflation: slow-roll corrections to the spectral index
• Gravitational Waves generated during inflation from a 5D vacuum theory of gravity in a de Sitter expansion
• Dissipation and nonlocality in a general expanding braneworld universe
• Future singularity free accelerating expansion with the modified Poisson brackets
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld