In EiBI gravity, spherical collapse yields lower linear thresholds, higher turnaround and virial overdensities, and modestly smaller turnaround radii than in ΛCDM, with effects increasing with the coupling κ̂_BI.
An extended excursion set approach to structure formation in chameleon models
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abstract
In attempts to explain dark energy, a number of models have been proposed in which the formation of large-scale structure depends on the local environment. These models are highly non-linear and difficult to analyse analytically. N-body simulations have therefore been used to study their non-linear evolution. Here we extend excursion set theory to incorporate environmental effects on structure formation. We apply the method to a chameleon model and calculate observables such as the non-linear mass function at various redshifts. The method can be generalized to study other obervables and other models of environmentally dependent interactions. The analytic methods described here should prove useful in delineating which models deserve more detailed study with N-body simulations.
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In Hu-Sawicki f(R) gravity the redshift-space bispectrum monopole and quadrupole show 2-8% deviations from GR at z=0.7 and k~0.3 h/Mpc with forecasted SNR of 30 and 15 for Euclid.
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Studying spherical collapse and its implications in the Eddington-inspired Born-Infeld gravity theory
In EiBI gravity, spherical collapse yields lower linear thresholds, higher turnaround and virial overdensities, and modestly smaller turnaround radii than in ΛCDM, with effects increasing with the coupling κ̂_BI.
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Tracing Signatures of Modified Gravity in Redshift-Space Galaxy Bispectrum Multipoles: Prospects for Euclid
In Hu-Sawicki f(R) gravity the redshift-space bispectrum monopole and quadrupole show 2-8% deviations from GR at z=0.7 and k~0.3 h/Mpc with forecasted SNR of 30 and 15 for Euclid.