Gravitational waves from brane-world inflation with induced gravity
arXiv:hep-th/0407162 · doi:10.1103/PhysRevD.70.123519
Abstract
We calculate the amplitude of gravitational waves produced by inflation on a de Sitter brane embedded in five-dimensional anti-de Sitter bulk spacetime, extending previous calculations in Randall-Sundrum type cosmology to include the effect of induced gravity corrections on the brane. These corrections arise via a term in the brane action that is proportional to the brane Ricci scalar. We find that, as in the Randall-Sundrum case, there is a mass gap between the discrete zero-mode and a continuum of massive bulk modes, which are too heavy to be excited during inflation. We give the normalization of the zero-mode as a function of the Hubble rate on the brane and are thus able to calculate the high energy correction to the spectrum of gravitational wave (tensor) modes excited on large scales during inflation from initial vacuum fluctuations on small scales. We also calculate the amplitude of density (scalar) perturbations expected due to inflaton fluctuations on the brane, and show that the usual four-dimensional consistency relation for the tensor/scalar ratio remains valid for brane inflation with induced gravity corrections.
8 pages, 2 figures
References in corpus (42)
- 4D Gravity on a Brane in 5D Minkowski Space
- Supersymmetry and Quantum Mechanics
- Accelerated Universe from Gravity Leaking to Extra Dimensions
- Cosmology on a Brane in Minkowski Bulk
- A new approach to the evolution of cosmological perturbations on large scales
- Reconstructing the Inflaton Potential --- an Overview
- Brane-world gravity
- Chaotic inflation on the brane
- Cosmology and Brane Worlds: A Review
- Brane World Cosmology
- Gravitational waves from inflation on the brane
- Brane-world creation and black holes
- Supernovae, CMB, and Gravitational Leakage into Extra Dimensions
- Inflation, braneworlds and quintessence
- Conserved cosmological perturbations
- Effective Gravitational Equations on Brane World with Induced Gravity
- Brane Cosmologies without Orbifolds
- Brane-World Cosmology in Higher Derivative Gravity or Warped Compactification in the Next-to-leading Order of AdS/CFT Correspondence
- Constraining slow-roll inflation with WMAP and 2dF
- Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the Cosmic Microwave Background
- Cosmological perturbations in the bulk and on the brane
- Induced Gravity on RS Branes
- Constraints on braneworld inflation from CMB anisotropies
- Gravity waves from inflating brane or Mirrors moving in adS
- Cosmological perturbations from braneworld inflation with a Gauss-Bonnet term
- Observational constraints on braneworld inflation: the effect of a Gauss-Bonnet term
- General Brane Dynamics with R_{4} term in the Bulk
- New Vistas in Braneworld Cosmology
- Brane Localized Curvature for Warped Gravitons
- Primordial gravitational waves in inflationary braneworld
- Ghost-free braneworld bigravity
- Transdimensional physics and inflation
- On brane-induced gravity in warped backgrounds
- Role of the brane curvature scalar in the brane world cosmology
- Gauss-Bonnet gravity renders negative tension braneworlds unstable
- Inflation and Braneworlds: Degeneracies and Consistencies
- Can brane cosmology with a vanishing Λexplain the observations?
- Chaotic Inflation on the Brane with Induced Gravity
- Consistency equations in Randall-Sundrum cosmology: a test for braneworld inflation
- Cosmology in a brane-universe
- Brane induced gravity in warped backgrounds and the absence of the radion
- Degeneracy of consistency equations in braneworld inflation
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- Cosmological perturbations in the DGP braneworld: numeric solution
- The stability of Einstein static universe in the DGP braneworld
- Chaplygin DGP cosmologies
- Asymmetric brane-worlds with induced gravity
- Braneworld non-minimal inflation with induced gravity
- DBI inflation with a non-minimally coupled Gauss-Bonnet term
- Phantom-like behaviour in a brane-world model with curvature effects
- Gravitational waves and extra dimensions: a short review
- Self-accelerating the normal DGP branch
- Induced gravity effect on inflationary parameters in an holographic cosmology
- Warped DGP model in warm intermediate inflation with a general dissipative coefficient in light of BICEP2 and Planck results
- Oscillating universe in the DGP braneworld
- Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
- Crossing the cosmological constant line in a dilatonic brane-world model with and without curvature corrections
- Brane-world cosmology
- Scalar perturbations from brane-world inflation with curvature effects
- Non-Minimal Warm Inflation and Perturbations on the Warped DGP Brane with Modified Induced Gravity
- Intermediate inflation on the brane and warped DGP models
- Tensor Perturbations from Brane-World Inflation with Curvature Effects
- An Observational Test of Holographic Inflation
- Curvaton Dynamics in Brane-worlds
- Inflaton perturbations in brane-world cosmology with induced gravity
- Gravitational baryogenesis in DGP brane cosmology
- Non-minimal Higgs inflation within holographic cosmology
- Living on a dS brane: Effects of KK modes on inflation
- Constant-roll Inflation in Brane Induced Gravity Cosmology
- Kaluza-Klein Higher Derivative Induced Gravity
- Logamediate inflation in DGP cosmology driven by a non-canonical scalar field
- Discrete graviton spectrum from super-exponential cup potentials and their application to braneworld physics
- Gravity on de-Sitter 3-Brane, Induced Einstein-Hilbert Term and Massless Gravitons
- Scattering amplitudes in the Randall-Sundrum model with brane-localized curvature terms