Halo Mass Function as a Probe of Gravity

Suhani Gupta, Wojciech A. Hellwing, Maciej Bilicki and Jorge Enrique Garcı́a-Farieta

We have studied the halo mass function (HMF) in two modified gravity (MG) models: the Hu-Sawicki f(R) gravity and the normal branch of Dvali-Gabadadze-Porrati (nDGP) models. We found that when we express MG HMF as a function of ln(σ^-1), it approximates a universal shape across redshifts. This result has already been established for ΛCDM. Furthermore, we found a systematic trend in the deviation of the mass function obtained for these models when we compare with the ΛCDM results. We exploited this property to devise a method to obtain analytical expressions for MG HMF, which, in turn would save us the need to run dedicated MG simulations to compute this cosmological measure.

Proceedings of the Polish Astronomical Society, vol. 12, 95-100 (2022)

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