Thermal non-Gaussianity in holographic cosmology

Abstract

Recently it has been shown that the thermal holographic fluctuations can give rise to an almost scale invariant spectrum of metric perturbations since in this scenario the energy is proportional to the area of the boundary rather than the volume. Here we calculate the non-Gaussianity of the spectrum of cosmological fluctuations in holographic phase, which can imprint on the radiation dominated universe by an abrupt transition. We find that if the matter is phantom-like, the non-Gaussianity $f_{NL}^{equil}$ can reach $\mathcal{O}(1)$ or even be larger than $\mathcal{O}(1)$. Especially in the limit $\omega \to -5/3$, the non-Gaussianity is very large and negative. Furthermore, since the energy is proportional to the area, the thermal holographic non-Gaussianity depends linearly on $k$ if we neglect the variation in $T$ during the transition (fixed temperature).

13 pages, Minor corrections and one reference added;v3,minor corrections

References in corpus (40)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Non-Gaussian features of primordial fluctuations in single field inflationary models
• A Flat Universe from High-Resolution Maps of the Cosmic Microwave Background Radiation
• k-Inflation
• MAXIMA-1: A Measurement of the Cosmic Microwave Background Anisotropy on angular scales of 10 arcminutes to 5 degrees
• Perturbations in k-inflation
• DBI in the Sky
• Acoustic Signatures in the Primary Microwave Background Bispectrum
• Scalar Speed Limits and Cosmology: Acceleration from D-cceleration
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• Second-Order Cosmological Perturbations from Inflation
• Ghost Inflation
• The shape of non-Gaussianities
• Primordial non-gaussianities in single field inflation
• A Measurement of the Angular Power Spectrum of the CMB from l = 100 to 400
• Black Hole Evaporation without Information Loss
• The Anisotropy of the Microwave Background to l = 3500: Deep Field Observations with the Cosmic Background Imager
• Primordial non-gaussianities from multiple-field inflation
• Producing a Scale-Invariant Spectrum of Perturbations in a Hagedorn Phase of String Cosmology
• Running Non-Gaussianities in DBI Inflation
• Cosmological constraints from Archeops
• Inflation from Warped Space
• Multi-Throat Brane Inflation
• Tensor Modes from a Primordial Hagedorn Phase of String Cosmology
• String Gas Cosmology and Structure Formation
• Non-perturbative Gravity, Hagedorn Bounce & CMB
• Inflation and the Theory of Cosmological Perturbations
• Estimates of Cosmological Parameters Using the CMB Angular Power Spectrum of ACBAR
• Non-Commutative Inflation
• Effective State Metamorphosis in Semi-Classical Loop Quantum Cosmology
• More on the Spectrum of Perturbations in String Gas Cosmology
• General Single Field Inflation with Large Positive Non-Gaussianity
• Thermal fluctuations in loop cosmology
• Could thermal fluctuations seed cosmic structure?
• Holography and the scale-invariance of density fluctuations
• Inflationary NonGaussianity from Thermal Fluctuations
• Cosmological Perturbations in Non-Commutative Inflation
• Primordial Perturbations Spectra in a Holographic Phase
• Near-Milne realization of scale-invariant fluctuations

Cited by in corpus (9)

• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Thermal Fluctuations and Bouncing Cosmologies
• Multi-Stream Inflation
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Quadra-Spectrum and Quint-Spectrum from Inflation and Curvaton Models
• Thermal fluctuations in viscous cosmology
• Thermal non-Gaussianity in Near-Milne universe
• 1/R Correction to Gravity in the Early Universe
• Non-Gaussian Distribution and Clustering of Hot and Cold Pixels in the WMAP Five-Year Sky