TY - JOUR

T1 - Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations

AU - De Felice, Antonio

AU - Kobayashi, Tsutomu

AU - Tsujikawa, Shinji

N1 - Funding Information:
A.D.F. and S.T. were supported by the Grant-in-Aid for Scientific Research Fund of the JSPS Nos. 10271 and 30318802 . T.K. was supported by JSPS Grant-in-Aid for Research Activity Start-up No. 22840011 . S.T. also thanks financial support for the Grant-in-Aid for Scientific Research on Innovative Areas (No. 21111006 ). We would like to thank the organizers of the workshop Summer Institute 2011 (Cosmology & String), where this collaboration was initiated.
Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

PY - 2011/12/6

Y1 - 2011/12/6

N2 - In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon scales we obtain the effective gravitational coupling Geff associated with the growth rate of matter perturbations as well as the effective gravitational potential Geff relevant to the deviation of light rays. We then apply our formulas to a number of modified gravitational models of dark energy - such as those based on f(R) theories, Brans-Dicke theories, kinetic gravity braidings, covariant Galileons, and field derivative couplings with the Einstein tensor. Our results are useful to test the large-distance modification of gravity from the future high-precision observations of large-scale structure, weak lensing, and cosmic microwave background.

AB - In the Horndeski's most general scalar-tensor theories the equations of scalar density perturbations are derived in the presence of non-relativistic matter minimally coupled to gravity. Under a quasi-static approximation on sub-horizon scales we obtain the effective gravitational coupling Geff associated with the growth rate of matter perturbations as well as the effective gravitational potential Geff relevant to the deviation of light rays. We then apply our formulas to a number of modified gravitational models of dark energy - such as those based on f(R) theories, Brans-Dicke theories, kinetic gravity braidings, covariant Galileons, and field derivative couplings with the Einstein tensor. Our results are useful to test the large-distance modification of gravity from the future high-precision observations of large-scale structure, weak lensing, and cosmic microwave background.

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U2 - 10.1016/j.physletb.2011.11.028

DO - 10.1016/j.physletb.2011.11.028

M3 - Article

AN - SCOPUS:84855203519

VL - 706

SP - 123

EP - 133

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 2-3

ER -