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.
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
SN - 0370-2693
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
IS - 2-3
ER -