New probe of departures from general relativity using Minkowski functionals

Abstract

The morphological properties of large scale structure of the Universe can be fully described by four Minkowski functionals (MFs), which provide important complementary information to other statistical observables such as the widely used 2-point statistics in configuration and Fourier spaces. In this work, for the first time, we present the differences in the morphology of large scale structure caused by modifications to general relativity (to address the cosmic acceleration problem), by measuring the MFs from N-body simulations of modified gravity and general relativity. We find strong statistical power when using the MFs to constrain modified theories of gravity: with a galaxy survey that has survey volume $\sim 0.125(h^{-1}$Gpc${)}^3$ and galaxy number density $\sim 1/(h^{-1}$Mpc${)}^3$, the two normal-branch DGP models and the F5 $f(R)$ model that we simulated can be discriminated from $\Lambda$CDM at a significance level >~ 5$\sigma$ with an individual MF measurement. Therefore, the MF of large scale structure is potentially a powerful probe of gravity, and its application to real data deserves active explorations.

arXiv comment5 pages, 1 figure, minor revisions reflect PRL published version

References in corpus (41)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results
• 4D Gravity on a Brane in 5D Minkowski Space
• Cosmological Hydrodynamics with Adaptive Mesh Refinement: a new high resolution code called RAMSES
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Strong Interactions and Stability in the DGP Model
• Planck 2015 results. XVII. Constraints on primordial non-Gaussianity
• Classical and Quantum Consistency of the DGP Model
• ECOSMOG: An Efficient Code for Simulating Modified Gravity
• Minkowski Functionals used in the Morphological Analysis of Cosmic Microwave Background Anisotropy Maps
• Backreaction in late-time cosmology
• Beyond genus statistics: a unifying approach to the morphology of cosmic structure
• Halos and Voids in f(R) Gravity
• Ghosts in the self-accelerating universe
• Constructing stabilized brane world models in five-dimensional Brans-Dicke theory
• Challenges to the DGP Model from Horizon-Scale Growth and Geometry
• New constraints on $f(R)$ gravity from clusters of galaxies
• Primordial Non-Gaussianity and Analytical Formula for Minkowski Functionals of the Cosmic Microwave Background and Large-scale Structure
• Cosmological Simulations of Normal-Branch Braneworld Gravity
• Probing Cosmology with Weak Lensing Minkowski Functionals
• Limits on Primordial Non-Gaussianity from Minkowski Functionals of the WMAP Temperature Anisotropies
• Exploring Vainshtein mechanism on adaptively refined meshes
• Minkowski Functionals of SDSS galaxies I : Analysis of Excursion Sets
• Constraining $f(R)$ Gravity Theory Using Weak Lensing Peak Statistics from the Canada-France-Hawaii-Telescope Lensing Survey
• Non-Gaussian Minkowski functionals & extrema counts in redshift space
• Validating estimates of the growth rate of structure with modified gravity simulations
• The morphology of cosmological reionization by means of Minkowski Functionals
• Large-Scale Structure of the Universe as a Cosmic Standard Ruler
• Testing the quasi-static approximation in $f(R)$ gravity simulations
• Effects of Gravitational Evolution, Biasing, and Redshift Space Distortion on Topology
• Direct Minkowski Functional analysis of large redshift surveys: a new high--speed code tested on the luminous red galaxy Sloan Digital Sky Survey-DR7 catalogue
• Implication of Omega_m through the Morphological Analysis of Weak Lensing Fields
• The morphological and dynamical evolution of simulated galaxy clusters
• The imprint of $f(R)$ gravity on weak gravitational lensing II : Information content in cosmic shear statistics
• Using the topology of large-scale structure in the WiggleZ Dark Energy Survey as a cosmological standard ruler
• Constraining f(R) Gravity with Planck Sunyaev-Zel'dovich Clusters
• Distinguishing general relativity and $f(R)$ gravity with the gravitational lensing Minkowski functionals
• Topology of large scale structure as test of modified gravity
• Lensing-induced morphology changes in CMB temperature maps in modified gravity theories
• Joint Minkowski Functionals and Bispectrum Constraints on Non-Gaussianity in the CMB

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• The effects of peculiar velocities on the morphological properties of large-scale structure
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• Large-scale geometry and topology of gas fields: Effects of AGN and stellar feedback
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