Reconstructing matter profiles of spherically compensated cosmic regions in CDM cosmology
arXiv:1709.04490 · doi:10.1093/mnras/stx2677
Abstract
The absence of a physically motivated model for large scale profiles of cosmic voids limits our ability to extract valuable cosmological information from their study. In this paper, we address this problem by introducing the spherically compensated cosmic regions, named CoSpheres. Such cosmic regions are identified around local extrema in the density field and admit a unique compensation radius where the internal spherical mass is exactly compensated. Their origin is studied by extending the standard peak model and implementing the compensation condition. Since the compensation radius evolves as the Universe itself, , CoSpheres behave as bubble Universes with fixed comoving volume. Using the spherical collapse model, we reconstruct their profiles with a very high accuracy until in N-body simulations. CoSpheres are symmetrically defined and reconstructed for both central maximum (seeding haloes and galaxies) and minimum (identified with cosmic voids). We show that the full non linear dynamics can be solved analytically around this particular compensation radius, providing useful predictions for cosmology. This formalism highlights original correlations between local extremum and their large scale cosmic environment. The statistical properties of these spherically compensated cosmic regions and the possibilities to constrain efficiently both cosmology and gravity will be investigated in companion papers.
arXiv comment20 pages, 26 figures, accepted for publication in MNRAS
References in corpus (33)
- Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
- Measurements of Omega and Lambda from 42 High-Redshift Supernovae
- Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
- Efficient Computation of CMB anisotropies in closed FRW models
- Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
- Improved Cosmological Constraints from New, Old and Combined Supernova Datasets
- Cluster Abundance Constraints on Quintessence Models
- A hierarchy of voids: Much ado about nothing
- The Physics of Cosmic Acceleration
- Approaches to Understanding Cosmic Acceleration
- ZOBOV: a parameter-free void-finding algorithm
- A Cosmic Watershed: the WVF Void Detection Technique
- Cosmic Voids in Sloan Digital Sky Survey Data Release 7
- Precision cosmography with stacked voids
- Universal Density Profile for Cosmic Voids
- Testing Gravity using Cosmic Voids
- Initial Conditions for Large Cosmological Simulations
- A simple multigrid scheme for solving the Poisson equation with arbitrary domain boundaries
- Voids in a CDM Universe
- Constraining Peaks in Gaussian Primordial Density Fields: an Application of the Hoffman-Ribak Method
- Precision cosmology with voids: definition, methods, dynamics
- Imprints of dark energy on cosmic structure formation: II) Non-Universality of the halo mass function
- Cosmology with Void-Galaxy Correlations
- A measurement of the Alcock-Paczynski effect using cosmic voids in the SDSS
- Imprints of Dark Energy on Cosmic Structure Formation I) Realistic Quintessence Models and the Non-Linear Matter Power Spectrum
- Cosmic Voids in the SDSS DR12 BOSS Galaxy Sample: The Alcock-Paczynski Test
- On the linearity of tracer bias around voids
- Consistency of the growth rate in different environments with the 6dF Galaxy Survey: measurement of the void-galaxy and galaxy-galaxy correlation functions
- Is the Concentration of Dark Matter Halos at Virialization Universal ?
- The Imprint of f(R) Gravity on Non-Linear Structure Formation
- Voids and the Cosmic Web: cosmic depressions & spatial complexity
- An improved model of redshift-space distortions around voids: application to quintessence dark energy
- Probability distribution and statistical properties of spherically compensated cosmic regions in CDM cosmology