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Modeling halo mass functions in chameleon f(R) gravity

Lombriser, L.; Li, B.; Koyama, K.; Zhao, G.

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L. Lombriser

K. Koyama

G. Zhao


On cosmological scales, observations of the cluster abundance currently place the strongest constraints on f(R) gravity. These constraints lie in the large-field limit, where the modifications of general relativity can correctly be modeled by setting the Compton wavelength of the scalar field to its background value. These bounds are, however, at the verge of penetrating into a regime where the modifications become nonlinearly suppressed due to the chameleon mechanism and cannot be described by this linearized approximation. For future constraints based on observations subjected to cluster abundance, it is therefore essential to consistently model the chameleon effect. We analyze descriptions of the halo mass function in chameleon f(R) gravity using a mass- and environment-dependent spherical collapse model in combination with excursion set theory and phenomenological fits to N-body simulations in the ΛCDM and f(R) gravity scenarios. Our halo mass functions consistently incorporate the chameleon suppression and cosmological parameter dependencies, improving upon previous formalisms and providing an important extension to N-body simulations for the application in consistent tests of gravity with observables sensitive to the abundance of clusters.


Lombriser, L., Li, B., Koyama, K., & Zhao, G. (2013). Modeling halo mass functions in chameleon f(R) gravity. Physical Review D, 87(12), Article 123511.

Journal Article Type Article
Publication Date Jun 13, 2013
Deposit Date May 3, 2013
Publicly Available Date May 8, 2014
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 87
Issue 12
Article Number 123511
Public URL
Publisher URL


Published Journal Article (434 Kb)

Copyright Statement
Reprinted with permission from the American Physical Society: Lombriser, L. and Li, B. and Koyama, K. and Zhao, G., Physical review D, 87 (12). p. 123511, 2013. © 2013 by the American Physical Society. Readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society.

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