Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells

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Main Authors: Drozda, Paweł, Hellwing, Wojciech A., Bilicki, Maciej
Format: Preprint
Published: 2025
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author Drozda, Paweł
Hellwing, Wojciech A.
Bilicki, Maciej
author_facet Drozda, Paweł
Hellwing, Wojciech A.
Bilicki, Maciej
contents We study the counts-in-cells reduced skewness $s_3$ for dark matter, halo, and galaxy distributions in both real and redshift space, using the ELEPHANT ($\textit{Extended LEnsing PHysics with ANalytical ray Tracing}$) suite of $N$-body simulations. We compare General Relativity (GR) with two extended (EG) gravity models: $f(R)$ gravity with chameleon screening and the normal-branch Dvali-Gabadadze-Porrati (nDGP) model with Vainshtein screening. We quantify the suppression of $s_3$ by redshift-space distortions (RSD), finding that while small-scale skewness is strongly reduced, the $F5$ model retains a $\sim 4\%$ deviation from GR in galaxy samples, corresponding to a $2σ$ significance. We show that the ratio $s_3^{\mathrm{RSD}}/s_3^{\mathrm{real}}$ is approximately independent of the gravity model across tracers and redshifts. Our results demonstrate that real-space predictions can help reliably infer redshift-space skewness in both GR and extended gravity, providing a new tool for testing gravity with current and forthcoming galaxy redshift surveys.
format Preprint
id arxiv_https___arxiv_org_abs_2504_12820
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells
Drozda, Paweł
Hellwing, Wojciech A.
Bilicki, Maciej
Cosmology and Nongalactic Astrophysics
We study the counts-in-cells reduced skewness $s_3$ for dark matter, halo, and galaxy distributions in both real and redshift space, using the ELEPHANT ($\textit{Extended LEnsing PHysics with ANalytical ray Tracing}$) suite of $N$-body simulations. We compare General Relativity (GR) with two extended (EG) gravity models: $f(R)$ gravity with chameleon screening and the normal-branch Dvali-Gabadadze-Porrati (nDGP) model with Vainshtein screening. We quantify the suppression of $s_3$ by redshift-space distortions (RSD), finding that while small-scale skewness is strongly reduced, the $F5$ model retains a $\sim 4\%$ deviation from GR in galaxy samples, corresponding to a $2σ$ significance. We show that the ratio $s_3^{\mathrm{RSD}}/s_3^{\mathrm{real}}$ is approximately independent of the gravity model across tracers and redshifts. Our results demonstrate that real-space predictions can help reliably infer redshift-space skewness in both GR and extended gravity, providing a new tool for testing gravity with current and forthcoming galaxy redshift surveys.
title Skewness as a Probe of Gravity: Real and Redshift Space Counts-In-Cells
topic Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2504.12820