Spherical collapse in modified gravity with the Birkhoff-theorem

Details Spherical collapse in modified gravity with the Birkhoff-theorem Spherical collapse in modified gravity with the Birkhoff-theorem

2007-11-20

arxiv.org/abs/0711.3129v1

Mon.Not.Roy.Astron.Soc.385:411-422,2008

Astronomy and Astrophysics

Astrophysics

12 pages, 12 figures, 3 tables, submitted to MNRAS

Scientific paper

10.1111/j.1365-2966.2008.12841.x

We study structure formation in a phenomenological model of modified gravity which interpolates between LambdaCDM and phenomenological DGP-gravity. Generalisation of spherical collapse by using the Birkhoff-theorem along with the modified growth equation shows that the overdensity for spherical collapse delta_c in these models is significantly lowered compared to LambdaCDM, leading to enhanced number densities of massive clusters and enhanced cluster merging rates. We find that delta_c(z) is well fitted by a function of the form delta_c(z) = a - b\exp(-cz). We examine the sensitivity of PLANCK's and SPT's Sunyaev-Zel'dovich survey to constrain the modified gravity parameterisation and find that these experiments can easily distinguish between models with a cosmological constant and modified gravity, if prior constraints from CMB temperature and polarisation anisotropies are included.

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