Kinetic Field Theory applied to Vector-Tensor Gravity

Abstract

The formation of cosmic structures is an important diagnostic for both the dynamics of the cosmological model and the underlying theory of gravity. At the linear level of these structures, certain degeneracies remain between different cosmological models and alternative gravity theories. It is thus indispensable to study the non-linear, late-time evolution of cosmic structures to try and disentangle their fundamental properties caused by the cosmological model or gravity theory itself. Conventionally, non-linear cosmic structure formation is studied by means of computationally expensive numerical simulations. Since these inevitably suffer from shot noise and are too time consuming to systematically scrutinize large parameter spaces of cosmological models or fundamental theories, analytical methods are needed to overcome the limitations of numerical simulations. Recently, a new analytic approach to non-linear cosmic structure formation has been proposed based on kinetic field theory for classical particle ensembles. Within this theory, a closed, analytic, non-perturbative and parameter-free equation could be derived for the non-linear power spectrum of cosmic density perturbations which agrees very well with numerically simulated results to wave numbers $k\lesssim 10h{\mathrm{Mpc}}^{-1}$ at redshift $z=0$. In this Letter, we study for the first time the implications of alternative gravity theories for non-linear cosmic structure formation applying this promising new analytic framework. As an illustrative example, we consider vector-tensor theories, which support very interesting isotropic cosmological solutions.

7 pages, 3 figures, Published version

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Cited by in corpus (5)

• On the road to percent accuracy II: calibration of the non-linear matter power spectrum for arbitrary cosmologies
• The dark side of the torsion: Dark Energy from propagating torsion
• Proca-stinated Cosmology I: A N-body code for the vector Galileon
• Kinetic field theory: generic effects of alternative gravity theories on non-linear cosmic density-fluctuations
• Kinetic field theory: effects of modified gravity theories with screening mechanisms on non-linear cosmic density fluctuations