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

In a mean-field approximation within Kinetic Field Theory, it is possible to derive an accurate analytic expression for the power spectrum of present-day non-linear cosmic density fluctuations. It depends on the theory of gravity and the cosmological model via the expansion function of the backgroun...

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Hauptverfasser: Oestreicher, Alexander (VerfasserIn) , Saxena, H. (VerfasserIn) , Reinhardt, Niklas (VerfasserIn) , Kozlikin, Elena (VerfasserIn) , Dombrowski, J. (VerfasserIn) , Bartelmann, Matthias (VerfasserIn)
Dokumenttyp: Article (Journal)
Sprache:Englisch
Veröffentlicht: 6 March 2025
In: Journal of cosmology and astroparticle physics
Year: 2025, Jahrgang: 2025, Heft: 03, Pages: 1-28
ISSN:1475-7516
DOI:10.1088/1475-7516/2025/03/008
Online-Zugang:Verlag, kostenfrei, Volltext: https://doi.org/10.1088/1475-7516/2025/03/008
Verlag, kostenfrei, Volltext: https://dx.doi.org/10.1088/1475-7516/2025/03/008
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Verfasserangaben:A. Oestreicher, H. Saxena, N. Reinhardt, E. Kozlikin, J. Dombrowski and M. Bartelmann

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520 |a In a mean-field approximation within Kinetic Field Theory, it is possible to derive an accurate analytic expression for the power spectrum of present-day non-linear cosmic density fluctuations. It depends on the theory of gravity and the cosmological model via the expansion function of the background space-time, the growth factor derived from it, and the gravitational coupling strength, which may deviate from Newton's constant in a manner depending on time and spatial scale. In earlier work [1], we introduced a functional Taylor expansion around general relativity and the cosmological standard model to derive the effects of a wide class of modified-gravity theories on the non-linear power spectrum, assuming that such effects need to be small given the general success of the standard model. Here, we extend this class towards theories with small-scale screening, modeling screening effects by a suitably flexible interpolating function. We compare the Taylor expansion with full mean-field solutions and find good agreement where expected. We find typical relative enhancements of the non-linear power spectrum between a few and a few ten per cent in a broad range of wave numbers between k ≳ 0.1-10 h Mpc, in good qualitative agreement with results of numerical simulations. Taking nDGP gravity as a quantitative example we compare our results to N-body simulations and find percent-level agreement for wavenumbers k ≲ 2 h Mpc-1, if the scale where screening sets in, k *, is adapted appropriately. This extends the application of our analytic approach to non-linear cosmic structure formation to essentially all classes of modified-gravity theories. 
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