Is the Universe Homogeneous? (On Large Scales)
arXiv:astro-ph/9711206 · doi:10.1016/S1384-1076(97)00037-7
Abstract
I critically discuss in a pedagogical and phenomenological way a few crucial tests challenging the claims by Pietronero and collaborators that there is no evidence from available galaxy catalogues that the Universe is actually homogeneous above a certain scale. In a series of papers, these authors assert that observations are consistent with a fractal distribution of objects extending to the limit of the present data. I show that while galaxies are indeed clustered in a scale-free way on small and intermediate scales, this behaviour does not continue indefinitely. Although the specific wavelength at which the galaxy distribution apparently turns to homogeneity is dangerously close to the size of the largest samples presently available, there are serious hints suggesting that this turnover is real and that its effects are detected in the behaviour of statistical estimators. The most recent claims of a continuing fractal hierarchy up to scales of several hundreds Mpc seem to be abscribable to the use of incomplete samples or to an improper treatment of otherwise high- quality data sets. The fractal perspective, nevertheless, can represent a fruitful way to look at the clustering properties of galaxies, when properly coupled to the traditional gravitational instability scenario. In the last part of this paper I therefore try to clarify, at a very simple level, some of the confusion existing on the actual scaling properties of the galaxy distribution. In this context, I shall discuss how these can provide hints on the evolution of the large-scale structure of the Universe, when one properly takes into account the effect of both initial conditions and nonlinear gravitational growth in producing the presently observed distribution.
27 pages, New Astronomy, in press (2, 517). Full html version available at http://pigeon.elsevier.nl/journals/newast/jnl/menu.htm . Original colour figures available also at ftp://antares.merate.mi.astro.it/pub/guzzo/NA
References in corpus (1)
Cited by in corpus (44)
- Cosmology and Fundamental Physics with the Euclid Satellite
- Cosmology and fundamental physics with the Euclid satellite
- The WiggleZ Dark Energy Survey: the transition to large-scale cosmic homogeneity
- The Large-Scale Smoothness of the Universe
- X-ray Clusters of Galaxies as Tracers of Structure in the Universe
- Scaling Laws in the Distribution of Galaxies
- The scale of homogeneity of the galaxy distribution in SDSS DR6
- Homogeneity and isotropy in the 2MASS Photometric Redshift catalogue
- The ROSAT-ESO Flux-Limited X-Ray (REFLEX) Galaxy Cluster Survey III: The Power Spectrum
- Testing homogeneity on large scales in the Sloan Digital Sky Survey Data Release One
- Exploring cosmic homogeneity with the BOSS DR12 galaxy sample
- A 14 Gpc study of cosmic homogeneity using BOSS DR12 quasar sample
- The Motions of Clusters of Galaxies and the Dipoles of the Peculiar Velocity Field
- The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
- Fractals and the Distribution of Galaxies
- Large-scale Cosmic Homogeneity from a Multifractal Analysis of the PSCz Catalogue
- The Scale of Cosmic Isotropy
- Fractal Dimensions of a Weakly Clustered Distribution and the Scale of Homogeneity
- The redshift-space two-point correlation functions of galaxies and groups in the Nearby Optical Galaxy sample
- On the fractal structure of galaxy distribution and its implications for cosmology
- Polarized anisotropic spectral distortions of the CMB: Galactic and extragalactic constraints on photon-axion conversion
- The fractal distribution of galaxies and the transition to homogeneity
- The scale of homogeneity in the Las Campanas Redshift Survey
- Testing homogeneity in the Sloan Digital Sky Survey Data Release Twelve with Shannon entropy
- Scaling of voids and fractality in the galaxy distribution
- A method for testing the cosmic homogeneity with Shannon entropy
- Measuring the transition to homogeneity with photometric redshift surveys
- The scale of cosmic homogeneity as a standard ruler
- Gravity's smoking gun?
- An information theory based search for homogeneity on the largest accessible scale
- Exact isotropic cosmologies with local fractal number counts
- Probing large scale homogeneity and periodicity in the LRG distribution using Shannon entropy
- Does the galaxy correlation length increase with the sample depth?
- Approaching a homogeneous galaxy distribution: results from the Stromlo-APM redshift survey
- The maximum extent of the filaments and sheets in the cosmic web: an analysis of the SDSS DR17
- Fractals vs. halos: Asymptotic scaling without fractal properties
- A model displaying extremely inhomogeneous matter distribution in General Relativity
- Multiscaling and Nonextensivity of Large-scale Structures in the Universe
- Porosities and dimensions of measures satisfying the doubling condition
- Phase structure of self-gravitating systems
- Birth of Universe following Rupture of Fractal Structure Filaments
- The transition to nonlinearity and new constraints on biasing
- Time evolution of the mutual information between disjoint regions in the Universe
- Recent Advances in Large-Scale Structure and Galaxy Formation Studies