Constraining f(R) Gravity with Planck Sunyaev-Zel'dovich Clusters

Abstract

Clusters of galaxies have the potential of providing powerful constraints on possible deviations from General Relativity. We use the catalogue of Sunyaev-Zel'dovich sources detected by Planck and consider a correction to the halo mass function for a f(R) class of modified gravity models, which has been recently found to reproduce well results from N-body simulations, to place constraints on the scalaron field amplitude at the present time, $f_R^0$. We find that applying this correction to different calibrations of the halo mass function produces upper bounds on $f_R^0$ tighter by more than an order of magnitude, ranging from ${\log }_{10}(-f_R^0)<-5.81$ to ${\log }_{10}(-f_R^0)<-4.40$ (95 % confidence level). This sensitivity is due to the different shape of the halo mass function, which is degenerate with the parameters used to calibrate the scaling relations between SZ observables and cluster masses. Any claim of constraints more stringent that the weaker limit above, based on cluster number counts, appear to be premature and must be supported by a careful calibration of the halo mass function and by a robust calibration of the mass scaling relations.

7 pages, 2 figures

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Cited by in corpus (7)

• Speeding up $N$-body simulations of modified gravity: Chameleon screening models
• The impact of modified gravity on the Sunyaev-Zel'dovich effect
• New probe of departures from general relativity using Minkowski functionals
• Tests of Gravity with Galaxy Clusters
• Galaxy-galaxy weak gravitational lensing in $f(R)$ gravity
• A general framework to test gravity using galaxy clusters V: A self-consistent pipeline for unbiased constraints of $f(R)$ gravity
• Universality of the halo mass function in modified gravity cosmologies