Revealing modified gravity signal in matter and halo hierarchical clustering

We use a set of N-body simulations employing a modified gravity (MG) model with Vainshtein screening to study matter and halo hierarchical clustering. As test-case scenarios we consider two normal branch Dvali-Gabadadze-Porrati (nDGP) gravity models with mild and strong growth rate enhancement. We study higher-order correlation functions $\xi_n(R)$ up to $n=9$ and associated hierarchical amplitudes $S_n(R)\equiv\xi_n(R)/\sigma(R)^{2n-2}$. We find that the matter PDFs are strongly affected by the fifth-force on scales up to $50h^{-1}$Mpc, and the deviations from GR are maximised at $z=0$. For reduced cumulants $S_n$, we find that at small scales $R\leq10h^{-1}$Mpc the MG is characterised by lower values, with the deviation growing from $7\%$ in the reduced skewness up to even $40\%$ in $S_5$. To study the halo clustering we use a simple abundance matching and divide haloes into thee fixed number density samples. The halo two-point functions are weakly affected, with a relative boost of the order of a few percent appearing only at the smallest pair separations ($r\leq 5h^{-1}$Mpc). In contrast, we find a strong MG signal in $S_n(R)$'s, which are enhanced compared to GR. The strong model exhibits a $>3\sigma$ level signal at various scales for all halo samples and in all cumulants. In this context, we find that the reduced kurtosis to be an especially promising cosmological probe of MG. Even the mild nDGP model leaves a $3\sigma$ imprint at small scales $R\leq3h^{-1}$Mpc, while the stronger model deviates from a GR-signature at nearly all scales with a significance of $>5\sigma$. Since the signal is persistent in all halo samples and over a range of scales, we advocate that the reduced kurtosis estimated from galaxy catalogues can potentially constitute a strong MG-model discriminatory as well as GR self-consistency test.Comment: 19 pages, 11 figures, comments are welcom

Kosmologia ciemnej materii z oddziaływaniem skalarnym

Niniejsza rozprawa jest zorganizowana następująco: w rozdziale pierwszym zawarliśmy wstępne podstawowe rozważania oraz dokładny opis Standardowego Modelu Kosmologicznego jak i badanego modelu ReBEL; w rozdziale drugim przedstawimy wyniki badań dotyczących wpływu oddziaływań skalarnych w CM na statystykę wielkoskalowych korelacji przestrzennych pola gęstości CM oraz gazu barionowego; w rozdziale trzecim zawarty został opis dokładnych badań wpływu sił ReBEL na wewnętrzne własności hal CM oraz na ich wzajemne korelacje przestrzenne. W ostatnim rozdziale rozprawy - rozdziale czwartym - zawarliśmy podsumowanie oraz wnioski końcowe. Do rozprawy dołączone zostały dwa dodatki, w których zawarto obszerny opis funkcji wygładzających stosowanych w kodzie GADGET2 (dodatek A) oraz wyprowadzenie wzoru na logarytmiczny wykładnik nachylenia widma mocy \ga_1 (dodatek B). Na końcu umieszczono szczegółowy wykaz literatury cytowanej w niniejszej pracy.Centrum Astronomiczne im. M. Kopernika PAN, Ministerstwo Nauki i Szkolnictwa WyższegoWojciech Hellwin

Improved analytical modeling of the non-linear power spectrum in modified gravity cosmologies

Reliable analytical modeling of the non-linear power spectrum (PS) of matter perturbations is among the chief pre-requisites for cosmological analyses from the largest sky surveys. This is especially true for the models that extend the standard general-relativity paradigm by adding the fifth force, where numerical simulations can be prohibitively expensive. Here we present a method for building accurate PS models for two modified gravity (MG) variants: namely the Hu-Sawicki $f(R)$, and the normal branch of the Dvali-Gabadadze-Porrati (nDGP) braneworld. We start by modifying the standard halo model (HM) with respect to the baseline Lambda-Cold-Dark-Matter ($\Lambda$CDM) scenario, by using the HM components with specific MG extensions. We find that our $P(k)_{\text{HM}}$ retains 5% accuracy only up to mildly non-linear scales ($k \lesssim 0.3$ h/\,\mbox{Mpc}) when compared to PS from numerical simulations. At the same time, our HM prescription much more accurately captures the ratio $\Upsilon(k) = P(k)_{\text{MG}}/P(k)_{\Lambda \text{CDM}}$ up to non-linear scales. We show that using HM-derived $\Upsilon(k)$ together with a viable non-linear $\Lambda$CDM $P(k)$ prescription (such as HALOFIT), we render a much better and more accurate PS predictions in MG. The new approach yields considerably improved performance, with modeled $P(k)_{\text{MG}}$ being now accurate to within 5% all the way to non-linear scales of $k \lesssim 2.5-3$ h/\,\mbox{Mpc}. The magnitude of deviations from GR as fostered by these MG models is typically $\mathcal{O}(10\%)$ in these regimes. Therefore reaching 5% PS modeling is enough for forecasting constraints on modern-era cosmological observables

Uneven flows: On cosmic bulk flows, local observers, and gravity

Using N-body simulations we study the impact of various systematic effects on the bulk flow (BF) and the Cosmic Mach Number (CMN). We consider two types of systematics: those related to survey properties and those induced by observer's location in the Universe. In the former category we model sparse sampling, velocity errors, and survey incompleteness. In the latter, we consider Local Group (LG) analogue observers, placed in a specific location within the Cosmic Web, satisfying various observational criteria. We differentiate such LG observers from Copernican ones, who are at random locations. We report strong systematic effects on the measured BF and CMN induced by sparse sampling, velocity errors and radial incompleteness. For BF most of these effects exceed 10\% for scales $R\leq100h^{-1}$Mpc. For CMN some of these systematics can be catastrophically large ($>50\%$) also on bigger scales. Moreover, we find that the position of the observer in the Cosmic Web significantly affects the locally measured BF (CMN), with effects as large as $\sim20\%$ ($30\%)$ at $R\leq50h^{-1}$Mpc for a LG-like observer as compared to a random one. This effect is comparable to the sample variance. To highlight the importance of these systematics, we additionally study a model of modified gravity (MG) with $\sim15\%$ enhanced growth rate. We found that the systematic effects can mimic the modified gravity signal. The worst-case scenario is realized for a case of a LG-like observer, when the effects induced by local structures are degenerate with the enhanced growth rate fostered by MG. Our results indicate that dedicated constrained simulations and realistic mock galaxy catalogs will be absolutely necessary to fully benefit from the statistical power of the forthcoming peculiar velocity data from surveys such as TAIPAN, WALLABY, Cosmic Flows-4 and SKA.Comment: 20 pages, 9+2 figures, comments are welcome