Primordial perturbations and inflation in holographic cosmology

Abstract

We consider an inflationary scenario in the holographic braneworld with a cosmological fluid occupying the 3+1 dimensional brane located at the holographic boundary of an asymptotic ADS${}_5$ bulk. The contribution of the boundary conformal field can be represented as a modification of Einstein's equations on the boundary. Using these effective Einstein equations we calculate the cosmological perturbations and derive the corresponding power spectra assuming a general $k$-essence type of inflaton. We find that the braneworld scenario affects the scalar power spectrum only in the speed of sound dependence on the slow-roll parameters whereas there is no change in the tensor power spectrum. This implies that the changes in the spectral indices appear at the second order in the slow-roll parameter expansion.

arXiv comment20 pages, 1 figure. The field equations are corrected by adding a new term which vanishes for a conformally flat background metric. The resulting change of perturbed field equations does not affect the results and conclusions. The corrections match the Erratum published in PRD

References in corpus (50)

• Gauge Theory Correlators from Non-Critical String Theory
• A Large Mass Hierarchy from a Small Extra Dimension
• An Alternative to Compactification
• The Large N Limit of Superconformal Field Theories and Supergravity
• The Hierarchy Problem and New Dimensions at a Millimeter
• New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
• A Dynamical Solution to the Problem of a Small Cosmological Constant and Late-time Cosmic Acceleration
• k-Inflation
• Essentials of k-essence
• Holographic Reconstruction of Spacetime and Renormalization in the AdS/CFT Correspondence
• Perturbations in k-inflation
• Encyclopaedia Inflationaris
• Cosmology and fundamental physics with the Euclid satellite
• Brane-World Gravity
• Reconstructing the Inflaton Potential --- an Overview
• Gravity in the Randall-Sundrum Brane World
• AdS/CFT and gravity
• Supersymmetric World-volume Action for Non-BPS D-branes
• Linearized Gravity in Brane Backgrounds
• New Experimental Limits on Macroscopic Forces Below 100 Microns
• Brane New World
• Aspects of Tachyonic Inflation with Exponential Potential
• Higher order corrections to primordial spectra from cosmological inflation
• New Test of the Gravitational $1/r^2$ Law at Separations down to 52 $\mu$m
• Cosmological dynamics of the tachyon with an inverse power-law potential
• Brane World Inflation Induced by Quantum Effects
• Quantum (in)stability of dilatonic AdS backgrounds and holographic renormalization group with gravity
• Complementarity of the Maldacena and Randall-Sundrum Pictures
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Enhancing the tensor-to-scalar ratio in simple inflation
• Primordial black holes and secondary gravitational waves from k/G inflation
• Gravity in Warped Compactifications and the Holographic Stress Tensor
• Tachyon inflation: tests and comparison with single scalar field inflation
• Reheating from Tachyon Condensation
• Ghost-free Gauss-Bonnet Theories of Gravity
• Non-Canonical Inflation and Primordial Black Holes Production
• Cosmology from an AdS Schwarzschild black hole via holography
• Universality classes for models of inflation
• A note on the equivalence of a barotropic perfect fluid with a K-essence scalar field
• Tachyon kinks on non BPS D-branes
• Asymptotic freedom, asymptotic flatness and cosmology
• A note on perfect scalar fields
• Note on the thermodynamics and the speed of sound of a scalar field
• Randall-Sundrum versus holographic cosmology
• Generalized modified gravity with the second order acceleration equation
• Theoretical and observational constraints on Tachyon Inflation
• Tachyon inflation in the holographic braneworld
• Tachyon with an inverse power-law potential in a braneworld cosmology
• Holographic cosmology and tachyon inflation
• Generic analysis of kinetically driven inflation

Cited by in corpus (5)

• A scaling invariance of the perturbations in $k$-inflation models
• Constant-roll inflation with tachyon field in the holographic braneworld
• Primordial perturbations and inflation in a holography inspired Gauss-Bonnet cosmology
• Scale-dependent gravity and covariant scale-setting
• Primordial black hole formation in k-inflation models