%0 Generic %1 huang2022nbody %A Huang, Yiqi %A Zhang, Jiajun %A Ren, Xin %A Saridakis, Emmanuel N. %A Cai, Yi-Fu %D 2022 %K library %T N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity %U http://arxiv.org/abs/2204.06845 %X We perform N-body simulations for $f(T)$ gravity using the ME-Gadget code, in order to investigate for the first time the structure formation process in detail. Focusing on the power-law model, and considering the model-parameter to be consistent within 1$\sigma$ with all other cosmological datasets (such as SNIa, BAO, CMB, CC), we show that there are clear observational differences between $Łambda$CDM cosmology and $f(T)$ gravity, due to the modifications brought about the latter in the Hubble function evolution and the effective $Newtons$ constant. We extract the matter density distribution, matter power spectrum, counts-in-cells, halo mass function and excess surface density (ESD) around low density positions (LDPs) at present time. Concerning the matter power spectrum we find a difference from $Łambda$CDM scenario, which is attributed to about 2/3 to the different expansion and to about 1/3 to the effective gravitational constant. Additionally, we find a difference in the cells, which is significantly larger than the Poisson error, which may be distinguishable with weak-lensing reconstructed mass maps. Moreover, we show that there are different massive halos with mass $M>10^14M_ødot/h$, which may be distinguishable with statistical measurements of cluster number counting, and we find that the ESD around LDPs is mildly different. In conclusion, high-lighting possible smoking guns, we show that large scale structure can indeed lead us to distinguish General Relativity and $Łambda$CDM cosmology from $f(T)$ gravity.

@misc{huang2022nbody, abstract = {We perform N-body simulations for $f(T)$ gravity using the ME-Gadget code, in order to investigate for the first time the structure formation process in detail. Focusing on the power-law model, and considering the model-parameter to be consistent within 1$\sigma$ with all other cosmological datasets (such as SNIa, BAO, CMB, CC), we show that there are clear observational differences between $\Lambda$CDM cosmology and $f(T)$ gravity, due to the modifications brought about the latter in the Hubble function evolution and the effective $Newton\prime s$ constant. We extract the matter density distribution, matter power spectrum, counts-in-cells, halo mass function and excess surface density (ESD) around low density positions (LDPs) at present time. Concerning the matter power spectrum we find a difference from $\Lambda$CDM scenario, which is attributed to about 2/3 to the different expansion and to about 1/3 to the effective gravitational constant. Additionally, we find a difference in the cells, which is significantly larger than the Poisson error, which may be distinguishable with weak-lensing reconstructed mass maps. Moreover, we show that there are different massive halos with mass $M>10^{14}M_{\odot}/h$, which may be distinguishable with statistical measurements of cluster number counting, and we find that the ESD around LDPs is mildly different. In conclusion, high-lighting possible smoking guns, we show that large scale structure can indeed lead us to distinguish General Relativity and $\Lambda$CDM cosmology from $f(T)$ gravity.}, added-at = {2022-04-15T11:19:56.000+0200}, author = {Huang, Yiqi and Zhang, Jiajun and Ren, Xin and Saridakis, Emmanuel N. and Cai, Yi-Fu}, biburl = {https://www.bibsonomy.org/bibtex/26bc712aafddd5895b33132313d2b3c48/gpkulkarni}, description = {N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity}, interhash = {34d0519132912ddc2642dd3f807ff3aa}, intrahash = {6bc712aafddd5895b33132313d2b3c48}, keywords = {library}, note = {cite arxiv:2204.06845Comment: 11 pages, 11 figures}, timestamp = {2022-04-15T11:19:56.000+0200}, title = {N-body simulations, halo mass functions, and halo density profile in $f(T)$ gravity}, url = {http://arxiv.org/abs/2204.06845}, year = 2022 }