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Abstract
We present a method to introduce relativistic corrections including linear dark energy perturbations in Horndeski theory into Newtonian simulations based on the Nbody gauge approach. We assume that standard matter species (cold dark matter, baryons, photons and neutrinos) are only gravitationallycoupled 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 energymomentum tensor. In order to compute the scalar field perturbations, as well as the cosmological background and metric perturbations, we use the EinsteinBoltzmann code hi_class. As an example, we study the impact of relativistic corrections on the matter power spectrum in kessence, a subclass of Horndeski theory, including the effects of massless and massive neutrinos. For massive neutrinos with ∑ m_{ν} = 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 ~ 10^{−3} Mpc^{−1} at z=0, for a scalar field with sound speed c_{s}^{2}~0.013 during matter domination epoch. Our formalism makes it possible to test beyond \lcdm models probed by upcoming largescale structure surveys on very large scales.
Original language  English 

Article number  013 
Number of pages  23 
Journal  Journal of Cosmology and Astroparticle Physics 
Volume  2021 
Issue number  01 
DOIs  
Publication status  Published  8 Jan 2021 
Keywords
 RCUK
 STFC
 ST/S000550/1
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Data availability statement for 'Relativistic corrections to the growth of structure in modified gravity'.
Brando, G. (Creator), Koyama, K. (Creator) & Wands, D. (Creator), IOP Publishing, 14 Nov 2020
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