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

By Antonio de Felice, Tsutomu Kobayashi, S. Tsujikawa. 2011

214 citations recorded by the source corpus.

Abstract In the Horndeskiʼs 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 G eff associated with the growth rate of matter perturbations as well as the effective gravitational potential Φ eff 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.

Subfields: Astronomy and Astrophysics

View Paper: https://www.semanticscholar.org/paper/126c813f6ff270a159cc2da87fdb46a2fc96db4e

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Citations in the corpus

Essential Building Blocks of Dark Energy (2013, methodology): “(110) and (113), generalize those given for instance in [32] in absence of higher derivative operators, in which case a2 = a4 = b2 = c2 = 0.”
Maximal freedom at minimum cost: linear large-scale structure in general modifications of gravity (2014, unknown): “[89] GT ĠT 2Σ + 12HΘ− 6H(2)GT −2Θ + 2HGT FT − GT Gubitosi et al.”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, methodology): “The corresponding Friedmann equation is given by [60]”
The Subaru FMOS galaxy redshift survey (FastSound). IV. New constraint on gravity theory from redshift space distortions at z ∼ 1.4 (2015, methodology): “The analytic estimation ofGeff and the full numerical integration of cosmological perturbations for the covariant Galileon were first carried out by de Felice et al. (2011a).”
Cosmological tests of modified gravity (2015, background): “Under the quasi-static approximations, it is possible to derive the form of μ and η in the case of m4 = m̃4 [246, 247, 248]”
Evolution of the f σ 8 tension with the Planck 15 / Λ CDM determination and implications for modified gravity theories (2018, background): “[40] Antonio De Felice, Tsutomu Kobayashi, and Shinji Tsujikawa, “Effective gravitational couplings for cosmological perturbations in the most general scalar-tensor theories with second-order field equations,” Phys.”
Horndeski theory and beyond: a review (2019, background): “Solving the algebraic equations (91)–(93), one arrives at the modified Poisson equation [150],”
Dark energy or modified gravity? An effective field theory approach (2012, background): “[32] point out that if the speed of sound is much less than one, then the sound horizon should be used instead of the Hubble horizon, which may limit the regime of validity of this approximation substantially.”