Kinetic field theory: generic effects of alternative gravity theories on non-linear cosmic density-fluctuations

Abstract

Non-linear cosmic structures contain valuable information on the expansion history of the background space-time, the nature of dark matter, and the gravitational interaction. The recently developed kinetic field theory of cosmic structure formation (KFT) allows to accurately calculate the non-linear power spectrum of cosmic density fluctuations up to wave numbers of $k\lesssim 10h{\mathrm{Mpc}}^{-1}$ at redshift zero. Cosmology and gravity enter this calculation via two functions, viz. the background expansion function and possibly a time-dependent modification of the gravitational coupling strength. The success of the cosmological standard model based on general relativity suggests that cosmological models in generalized theories of gravity should have observable effects differing only weakly from those in standard cosmology. Based on this assumption, we derive the functional, first-order Taylor expansion of the non-linear power spectrum of cosmic density fluctuations obtained from the mean-field approximation in KFT in terms of the expansion function and the gravitational coupling strength. This allows us to study non-linear power spectra expected in large classes of generalized gravity theories. To give one example, we apply our formalism to generalized Proca theories.

arXiv commentAccepted for publication in JCAP. v2: Added some clarifying remarks and further citations. In particular new section 5, in which this work is compared to other works on the same topic. Journal of Cosmology and Astroparticle Physics, Volume 2023, Issue 07, id.029, 19 pp. doi:10.1088/1475-7516/2023/07/029

References in corpus (35)

• Large-Scale Structure of the Universe and Cosmological Perturbation Theory
• First results from the IllustrisTNG simulations: matter and galaxy clustering
• Renormalized Cosmological Perturbation Theory
• Resumming Cosmological Perturbations via the Lagrangian Picture: One-loop Results in Real Space and in Redshift Space
• Simulating cosmic structure formation with the GADGET-4 code
• A Parameterized Post-Friedmann Framework for Modified Gravity
• Generalization of the Proca Action
• Solving Large Scale Structure in Ten Easy Steps with COLA
• The Lagrangian-space Effective Field Theory of Large Scale Structures
• Modified Gravity-GADGET: A new code for cosmological hydrodynamical simulations of modified gravity models
• Cosmology in generalized Proca theories
• Modified Gravity N-body Code Comparison Project
• Non-linear Evolution of Matter Power Spectrum in Modified Theory of Gravity
• Cosmic Degeneracies I: Joint N-body Simulations of Modified Gravity and Massive Neutrinos
• Effective gravitational couplings for cosmological perturbations in generalized Proca theories
• On the road to percent accuracy: nonlinear reaction of the matter power spectrum to dark energy and modified gravity
• Time-Sliced Perturbation Theory for Large Scale Structure I: General Formalism
• Systematic simulations of modified gravity: symmetron and dilaton models
• The Effective Field Theory of Dark Matter and Structure Formation: Semi-Analytical Results
• Systematic simulations of modified gravity: chameleon models
• Efficient simulations of large scale structure in modified gravity cosmologies with comoving Lagrangian acceleration
• Matter Power Spectrum Emulator for f(R) Modified Gravity Cosmologies
• Nonlinear Power Spectrum from Resummed Perturbation Theory: a Leap Beyond the BAO Scale
• Lagrangian perturbation theory for modified gravity
• A microscopic, non-equilibrium, statistical field theory for cosmic structure formation
• Matter power spectrum from a Lagrangian-space regularization of perturbation theory
• $N$-body simulations for parametrised modified gravity
• Field Theoretic Formulation of Kinetic theory: I. Basic Development
• Cosmic Structure Formation with Kinetic Field Theory
• Trajectories of point particles in cosmology and the Zel'dovich approximation
• Nonlinearities in modified gravity cosmology I: signatures of modified gravity in the nonlinear matter power spectrum
• Kinetic Field Theory for Cosmic Structure Formation
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• Kinetic Field Theory applied to Vector-Tensor Gravity
• Proca-stinated Cosmology II: Matter, Halo, and Lensing Statistics in the vector Galileon

Cited by in corpus (1)

• Kinetic field theory: effects of modified gravity theories with screening mechanisms on non-linear cosmic density fluctuations