Fluctuation of the Hubble parameter

Abstract

We study the Hubble parameter $H(z)$ in perturbed Friedmann universe and obtain an expression of the perturbed Hubble parameter $H(z,\text{n})$. We derive the Hubble parameter power spectrum by using the initial spectrum during inflation and the Bardeen transfer function. We obtain a semi-analytical expression in the case of cold dark matter (CDM) universe. Similar with luminosity distance, the Hubble parameter spectrum is suggested to be an useful observational tool to determine some cosmological parameters. In addition, we show that the Hubble parameter power spectrum could be used to check whether the expansion is accelerated by the second order small scale fluctuation.

arXiv comment13 pages, 9 figures, accepted for publication PRD

References in corpus (42)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Planck 2013 results. XVI. Cosmological parameters
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• Detection of the Baryon Acoustic Peak in the Large-Scale Correlation Function of SDSS Luminous Red Galaxies
• Discovery of a Supernova Explosion at Half the Age of the Universe and its Cosmological Implications
• The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
• Baryon Acoustic Oscillations in the Sloan Digital Sky Survey Data Release 7 Galaxy Sample
• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• Planck 2013 results. I. Overview of products and scientific results
• Constraints on the redshift dependence of the dark energy potential
• Weak Gravitational Lensing of the CMB
• Cosmological perturbations
• On average properties of inhomogeneous fluids in general relativity I: dust cosmologies
• CfA3: 185 Type Ia Supernova Light Curves from the CfA
• On average properties of inhomogeneous fluids in general relativity II: perfect fluid cosmologies
• Hemispherical power asymmetry in the three-year Wilkinson Microwave Anisotropy Probe sky maps
• Could dark energy be vector-like?
• New dark energy constraints from supernovae, microwave background and galaxy clustering
• On cosmic acceleration without dark energy
• Weak Lensing and Dark Energy
• Fluctuations of the luminosity distance
• Dark energy from backreaction
• Uncorrelated Measurements of the Cosmic Expansion History and Dark Energy from Supernovae
• Effect of inhomogeneities on the expansion rate of the Universe
• The velocity width function of galaxies from the 40% ALFALFA survey: shedding light on the cold dark matter overabundance problem
• Accelerated expansion from structure formation
• Anisotropic Dark Energy: Dynamics of Background and Perturbations
• Dipole of the luminosity distance: a direct measure of H(z)
• The Effect of Inhomogeneities on the Luminosity Distance-Redshift Relation: is Dark Energy Necessary in a Perturbed Universe?
• The Effects of Inhomogeneities on Evaluating the mass parameter ${\Omega }_m$ and the cosmological constant $\Lambda$
• Constraints on the Dark Side of the Universe and Observational Hubble Parameter Data
• The Luminosity Distance in Perturbed FLRW Spacetimes
• Overcoming the Circular Problem for γ-ray Bursts in Cosmological Global Fitting Analysis
• Anisotropic perturbations due to dark energy
• Tracing the redshift evolution of Hubble parameter with gravitational-wave standard sirens
• $f(R)$ gravity theories in the Palatini Formalism constrained from strong lensing
• Measuring dark energy spatial inhomogeneity with supernova data
• The Cosmic Microwave Background for Pedestrians: A Review for Particle and Nuclear Physicists
• Constraining dark energy fluctuations with supernova correlations
• Supernovae and Cosmology