Large-Scale Structure of the Universe as a Cosmic Standard Ruler

Abstract

We propose to use the large-scale structure of the universe as a cosmic standard ruler, based on the fact that the pattern of galaxy distribution should be maintained in the course of time on large scales. By examining the scale-dependence of the pattern in different redshift intervals it is possible to reconstruct the expansion history of the universe, and thus to measure the cosmological parameters governing the expansion of the universe. The features in the galaxy distribution that can be used as standard rulers include the topology of large-scale structure and the overall shapes of galaxy power spectrum and correlation function. The genus, being an intrinsic topology measure, is resistant against the non-linear gravitational evolution, galaxy biasing, and redshift-space distortion effects, and thus is ideal for quantifying the primordial topology of the large-scale structure. The expansion history of the universe can be constrained by comparing among the genus measured at different redshifts. In the case of initially Gaussian fluctuations the genus accurately recovers the slope of the primordial power spectrum near the smoothing scale, and the expansion history can be constrained by comparing between the predicted and measured genus.

5 pages, 3 figures, submitted to ApJL

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Cited by in corpus (46)

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• Topology and Geometry of Gaussian random fields I: on Betti Numbers, Euler characteristic and Minkowski functionals
• Betti numbers of Gaussian fields
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: application to the SDSS-III BOSS DR12 galaxies
• Information Content of Higher-Order Galaxy Correlation Functions
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski effect: Dynamical dark energy
• Using the topology of large-scale structure in the WiggleZ Dark Energy Survey as a cosmological standard ruler
• New probe of departures from general relativity using Minkowski functionals
• Tomographic Alcock-Paczynski Test with Redshift-Space Correlation Function: Evidence for the Dark Energy Equation of State Parameter w>-1
• Cosmological constraints from the redshift dependence of the Alcock-Paczynski test: galaxy density gradient field
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• Non-parametric dark energy reconstruction using the tomographic Alcock-Paczynski test
• Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
• A one-parameter formula for testing slow-roll dark energy: observational prospects
• Using the Topology of Large Scale Structure to constrain Dark Energy
• Neutrino effects on the morphology of cosmic large-scale structure
• Topology of large scale structure as test of modified gravity
• Genus Topology and Cross-Correlation of BICEP2 and Planck 353 GHz B-Modes: Further Evidence Favoring Gravity Wave Detection
• Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
• Alcock-Paczynski Test with the Evolution of Redshift-Space Galaxy Clustering Anisotropy
• Cosmological Probes of Structure Growth and Tests of Gravity
• Topology of Luminous Red Galaxies from the Sloan Digital Sky Survey
• Cosmological Information from the Small-scale Redshift Space Distortions
• Systematic Effects on the Genus Topology of Large Scale Structure of the Universe
• The redshift dependence of Alcock-Paczynski effect: cosmological constraints from the current and next generation observations
• Biased tracer reconstruction with halo mass information
• Two-dimensional Topology of Cosmological Reionization
• Ensemble Average of Three-Dimensional Minkowski Tensors of a Gaussian Random Field in Redshift Space
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
• Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Shape of the Matter Power Spectrum
• Topology of Large-Scale Structures of Galaxies in Two Dimensions - Systematic Effects
• Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
• Gravitational Potential Environment of Galaxies: I. Simulation
• Using the Mark Weighted Correlation Functions to Improve the Constraints on Cosmological Parameters
• Cosmological constraints from the redshift dependence of the volume effect using the galaxy 2-point correlation function across the line-of-sight
• Horizon Run 3: Topology as a Standard Ruler
• Physics of non-Gaussian fields and the cosmological genus statistic
• Bayesian deep learning for cosmic volumes with modified gravity
• Probing cosmology via the clustering of critical points
• Characterising cosmic inhomogeneity with anomalous diffusion
• Large-scale geometry and topology of gas fields: Effects of AGN and stellar feedback
• Cosmological constraints from the density gradient weighted correlation function