Relativistic Corrections to the Growth of Structure in Modified Gravity

Abstract

We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the N-body gauge approach. We assume that standard matter species (cold dark matter, baryons, photons and neutrinos) are only gravitationally-coupled with the scalar field and we then use the fact that one can include modified gravity effects as an effective dark energy fluid in the total energy-momentum tensor. In order to compute the scalar field perturbations, as well as the cosmological background and metric perturbations, we use the Einstein-Boltzmann code \hiclass. As an example, we study the impact of relativistic corrections on the matter power spectrum in k-essence, a subclass of Horndeski theory, including the effects of massless and massive neutrinos. For massive neutrinos with $\sum m_{\nu }=0.1$ eV, the corrections due to relativistic species (photons, neutrinos and dark energy) can introduce a maximum deviation of approximately $7\%$ to the power spectrum at $k\sim 10^{-3}{\text{Mpc}}^{-1}$ at $z=0$, for a scalar field with sound speed $c_s^2\sim 0.013$ during matter domination epoch. Our formalism makes it possible to test beyond $\Lambda$CDM models probed by upcoming large-scale structure surveys on very large scales.

arXiv comment21 pages, 4 figures, 1 table, accepted for publication in JCAP

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Cited by in corpus (6)

• $\text{Hi-COLA}$: Fast, approximate simulations of structure formation in Horndeski gravity
• Enabling matter power spectrum emulation in beyond-$\Lambda$CDM cosmologies with COLA
• Revisiting Vainshtein Screening for fast N-body simulations
• Neutrino winds on the sky
• Fully relativistic predictions in Horndeski gravity from standard Newtonian N-body simulations
• Neutrinos in N-body simulations