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Linear perturbations in K-mouflage cosmologies with massive neutrinos

Barreira, A.; Brax, P.; Clesse, S.; Li, B.; Valageas, P.

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A. Barreira

P. Brax

S. Clesse

P. Valageas


We present a comprehensive derivation of linear perturbation equations for different matter species, including photons, baryons, cold dark matter, scalar fields, and massless and massive neutrinos in the presence of a generic conformal coupling. Starting from the Lagrangians, we show how the conformal transformation affects the dynamics. In particular, we discuss how to incorporate consistently the scalar coupling in the equations of the Boltzmann hierarchy for massive neutrinos and the subsequent fluid approximations. We use the recently proposed K-mouflage model as an example to demonstrate the numerical implementation of our linear perturbation equations. K-mouflage is a new mechanism to suppress the fifth force between matter particles induced by the scalar coupling, but in the linear regime the fifth force is unsuppressed and can change the clustering of different matter species in different ways. We show how the cosmic microwave background, lensing potential and matter power spectra are affected by the fifth force and find ranges of K-mouflage parameters whose effects could be seen observationally. We also find that the scalar coupling can have the nontrivial effect of shifting the amplitude of the power spectra of the lensing potential and density fluctuations in opposite directions, although both probe the overall clustering of matter. This paper can serve as a reference for those who work on generic coupled scalar field cosmology or those who are interested in the cosmological behavior of the K-mouflage model.


Barreira, A., Brax, P., Clesse, S., Li, B., & Valageas, P. (2015). Linear perturbations in K-mouflage cosmologies with massive neutrinos. Physical Review D, 91(6), Article 063528.

Journal Article Type Article
Publication Date Mar 24, 2015
Deposit Date Aug 17, 2015
Publicly Available Date Sep 4, 2015
Journal Physical Review D
Print ISSN 1550-7998
Electronic ISSN 1550-2368
Publisher American Physical Society
Peer Reviewed Peer Reviewed
Volume 91
Issue 6
Article Number 063528
Related Public URLs


Published Journal Article (1.4 Mb)

Copyright Statement
Reprinted with permission from the American Physical Society: Physical Review D 91, 063528 © 2015 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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