Using the Topology of Large Scale Structure to constrain Dark Energy
arXiv:1005.3631 · doi:10.1111/j.1365-2966.2010.18015.x
Abstract
The use of standard rulers, such as the scale of the Baryonic Acoustic oscillations (BAO), has become one of the more powerful techniques employed in cosmology to probe the entity driving the accelerating expansion of the Universe. In this paper, the topology of large scale structure (LSS) is used as one such standard ruler to study this mysterious `dark energy'. By following the redshift evolution of the clustering of luminous red galaxies (LRGs) as measured by their 3D topology (counting structures in the cosmic web), we can chart the expansion rate and extract information about the equation of state of dark energy. Using the technique first introduced in (Park & Kim, 2009), we evaluate the constraints that can be achieved using 3D topology measurements from next-generation LSS surveys such as the Baryonic Oscillation Spectroscopic Survey (BOSS). In conjunction with the information that will be available from the Planck satellite, we find a single topology measurement on 3 different scales is capable of constraining a single dark energy parameter to within 5% and 10% when dynamics are permitted. This offers an alternative use of the data available from redshift surveys and serves as a cross-check for BAO studies.
8 pages, 5 figures, 2 tables, Submitted to MNRAS, updated acknowledgements
References in corpus (31)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Efficient Computation of CMB anisotropies in closed FRW models
- Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
- Exploring the Expansion History of the Universe
- Accelerating Universes with Scaling Dark Matter
- The Supernova Legacy Survey: Measurement of Omega_M, Omega_Lambda and w from the First Year Data Set
- Statistical Properties of X-ray Clusters: Analytic and Numerical Comparisons
- The 2dF Galaxy Redshift Survey: Power-spectrum analysis of the final dataset and cosmological implications
- Dark Energy and the Accelerating Universe
- New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
- A Redetermination of the Hubble Constant with the Hubble Space Telescope from a Differential Distance Ladder
- First Estimations of Cosmological Parameters From BOOMERANG
- Constraining the equation of state of the Universe from Distant Type Ia Supernovae and Cosmic Microwave Background Anisotropies
- The essence of quintessence and the cost of compression
- Constraints on Omega_m and sigma_8 from weak lensing in RCS fields
- Topology Analysis of the Sloan Digital Sky Survey: I. Scale and Luminosity Dependences
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Bayesian Estimation of CMB Polarization Maps
- Present and future evidence for evolving dark energy
- The Horizon Run N-body Simulation: Baryon Acoustic Oscillations and Topology of Large Scale Structure of the Universe
- Analytic Expression of the Genus in Weakly Non-Gaussian Field Induced by Gravity
- Measuring the Cosmic Equation of State with Counts of Galaxies
- Topology of structure in the Sloan Digital Sky Survey: model testing
- Large-Scale Structure of the Universe as a Cosmic Standard Ruler
- The Baryon Oscillation Spectroscopic Survey: Precision measurements of the absolute cosmic distance scale
- Effects of Gravitational Evolution, Biasing, and Redshift Space Distortion on Topology
- 3D Genus Topology of Luminous Red Galaxies
- Cosmological parameters after WMAP5: forecasts for Planck and future galaxy surveys
- Reconstructing and Deconstructing Dark Energy
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- Using the topology of large-scale structure in the WiggleZ Dark Energy Survey as a cosmological standard ruler
- Minkowski Functionals of SDSS-III BOSS : Hints of Possible Anisotropy in the Density Field?
- Simulating MOS science on the ELT: Ly forest tomography
- Cosmological Parameter Estimation Using the Genus Amplitude - Application to Mock Galaxy Catalogs
- Systematic Effects on the Genus Topology of Large Scale Structure of the Universe
- Cosmological Parameter Estimation from the Two-Dimensional Genus Topology -- Measuring the Expansion History using the Genus Amplitude as a Standard Ruler
- Topology of Large-Scale Structures of Galaxies in Two Dimensions - Systematic Effects
- Minkowski Tensors in Redshift Space -- Beyond the Plane Parallel Approximation
- Horizon Run 3: Topology as a Standard Ruler
- Galaxy Zoo Morphology and Photometric Redshifts in the Sloan Digital Sky Survey
- Physics of non-Gaussian fields and the cosmological genus statistic
- Structure of cosmic web in non-linear regime: the nearest neighbour and spherical contact distributions