Lagrangian perturbation theory for modified gravity

Abstract

We present a formalism to compute Lagrangian displacement fields for a wide range of cosmologies in the context of perturbation theory up to third order. We emphasize the case of theories with scale dependent gravitational strengths, such as chameleons, but our formalism can be accommodated to other modified gravity theories. In the non-linear regime two qualitative features arise. One, as is well known, is that nonlinearities lead to a screening of the force mediated by the scalar field. The second is a consequence of the transformation of the Klein-Gordon equation from Eulerian to Lagrangian coordinates, producing frame-lagging terms that are important especially at large scales, and if not considered, the theory does not reduce to the $\Lambda$CDM model in that limit. We apply our formalism to compute the 1-loop power spectrum and the correlation function in $f(R)$ gravity by using different resummation schemes. We further discuss the IR divergences of these formalisms.

32 pages, 10 figures. v2: CLPT scheme added, IR divergences discussed. v3: Matches published version

References in corpus (31)

• The Confrontation between General Relativity and Experiment
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• The DESI Experiment Part I: Science,Targeting, and Survey Design
• Beyond the Cosmological Standard Model
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Environmental Dependence of Masses and Coupling Constants
• Distinguishing Modified Gravity from Dark Energy
• The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: Baryon Acoustic Oscillations in Fourier-space
• A critical look at cosmological perturbation theory techniques
• Equivalence Principle Implications of Modified Gravity Models
• N-body Simulations for f(R) Gravity using a Self-adaptive Particle-Mesh Code
• Flowing with Time: a New Approach to Nonlinear Cosmological Perturbations
• On the Growth of Perturbations as a Test of Dark Energy
• A Closure Theory for Non-linear Evolution of Cosmological Power Spectra
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Dark matter clustering: a simple renormalization group approach
• The Gaussian streaming model and Lagrangian effective field theory
• COLA with scale-dependent growth: applications to screened modified gravity models
• The Euclid mission design
• Lagrangian perturbation theory at one loop order: successes, failures, and improvements
• Theories of Dark Energy with Screening Mechanisms
• Efficient simulations of large scale structure in modified gravity cosmologies with comoving Lagrangian acceleration
• Testing the quasi-static approximation in $f(R)$ gravity simulations
• COLA with massive neutrinos
• Regularized cosmological power spectrum and correlation function in modified gravity models
• A Fast Route to Non-Linear Clustering Statistics in Modified Gravity Theories
• A Perturbative Approach to the Redshift Space Correlation Function: Beyond the Standard Model
• Vorticity generation in the Universe: A perturbative approach
• Simulating cosmologies beyond $\Lambda$CDM with PINOCCHIO
• Screening in perturbative approaches to LSS
• Lagrangian Perturbation Theory : Exact One-Loop Power Spectrum in General Dark Energy Models

Cited by in corpus (36)

• Redshift-Space Distortions in Lagrangian Perturbation Theory
• On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
• Testing Screened Modified Gravity
• Testing the theory of gravity with DESI: estimators, predictions and simulation requirements
• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• Matter Power Spectrum Emulator for f(R) Modified Gravity Cosmologies
• A Lagrangian Perturbation Theory in the presence of massive neutrinos
• Fast computation of non-linear power spectrum in cosmologies with massive neutrinos
• Clustering in Massive Neutrino Cosmologies via Eulerian Perturbation Theory
• Higher-order initial conditions with massive neutrinos
• An accurate perturbative approach to redshift space clustering of biased tracers in modified gravity
• Nonlinear evolution of initially biased tracers in modified gravity
• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• Redshift space power spectrum beyond Einstein-de Sitter kernels
• Convolution Lagrangian perturbation theory for biased tracers beyond general relativity
• Modelling the matter bispectrum at small scales in modified gravity
• Screenings in Modified Gravity: a perturbative approach
• Renormalization of Lagrangian bias via spectral parameters
• Fast generation of mock galaxy catalogues in modified gravity models with COLA
• Marked correlation functions in perturbation theory
• Cosmological Probes of Structure Growth and Tests of Gravity
• Constraints on $f(R)$ and nDGP Modified Gravity Model Parameters with Cluster Abundances and Galaxy Clustering
• fkPT: Constraining scale-dependent modified gravity with the full-shape galaxy power spectrum
• Iterative removal of redshift space distortions from galaxy clustering
• Euclid preparation. Modelling spectroscopic clustering on mildly nonlinear scales in beyond-$\Lambda$CDM models
• Integrated perturbation theory for cosmological tensor fields. I. Basic formulation
• Fast numerical method to generate halo catalogs in modified gravity (part I): second-order Lagrangian Perturbation Theory
• On the galaxy 3-point correlation function in Modified Gravity
• Non-linear density-velocity dynamics in $f(R)$ gravity from spherical collapse
• Effects of Dark Energy anisotropic stress on the matter power spectrum
• Cosmological signatures of a Rapid Diluted Energy Density
• Nonlinear cosmological structure with ultralight bosons via modified gravity
• An implementation of nDGP gravity in Pinocchio
• Fullshape power spectrum for the Symmetron modified gravity model
• Kinetic field theory: generic effects of alternative gravity theories on non-linear cosmic density-fluctuations
• Tracing Signatures of Modified Gravity in Redshift-Space Galaxy Bispectrum Multipoles: Prospects for Euclid