Vainshtein screening in a cosmological background in the most general second-order scalar-tensor theory

By Rampei Kimura, Tsutomu Kobayashi, Kazuhiro Yamamoto. 2011

165 citations recorded by the source corpus.

A generic second-order scalar-tensor theory contains a nonlinear derivative self-interaction of the scalar degree of freedom $\phi$ \`{a} la Galileon models, which allows for the Vainshtein screening mechanism. We investigate this effect on subhorizon scales in a cosmological background, based on the most general second-order scalar-tensor theory. Our analysis takes into account all the relevant nonlinear terms and the effect of metric perturbations consistently. We derive an explicit form of Newton's constant, which in general is time-dependent and hence is constrained from observations, as suggested earlier. It is argued that in the most general case the inverse-square law cannot be reproduced on the smallest scales. Some applications of our results are also presented.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/5a1470eaab7106dfcb53a96413f27e96777bb13a

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Citations in the corpus

Massive Gravity (2014, methodology): “We refer to the following review on the Vainshtein mechanism for further details, [35] as well as to the following work [160, 38, 99, 332, 36, 244, 40, 338, 321, 440, 316, 53, 376, 366, 407].”
Cosmological tests of modified gravity (2015, methodology): “See Refs [185, 186, 187, 187, 188, 189, 190] for the studies of the Vainshtein mechanism in the Horndeski, beyond Horndeski and bigraviy theories.”
Effective field theory of dark energy: A review (2019, background): “Kmouflage screening mechanism [306] and finally if it acts through the second derivative ∂φ, typical of the Vainshtein mechanism [307, 102, 308, 309].”
Dark Energy in Light of Multi-Messenger Gravitational-Wave Astronomy (2018, background): “Such mechanism has been extensively studied for Horndeski theory (Kimura et al., 2012; Koyama et al., 2013; Narikawa et al., 2013).”
Gravitational wave decay into dark energy (2018, methodology): “icity we have written only those that contribute to the leading number of spatial derivatives: these operators dominate the nonlinear regime of structure formation and the Vainshtein regime (see e.g. [29,30,31,32] for details). The relation between the EFT parameters and the Horndeski and beyond Hor”
Horndeski theory and beyond: a review (2019, background): “on, gµν = ηµν with φ = φ0 =const, and static, spherically symmetric perturbations on top of the background. The above analysis has been extended to a cosmological background with time-dependent φ0 in [226]. On a cosmological background we start with the Newtonian gauge metric (83) rather than (129) ”
A systematic approach to generalisations of General Relativity and their cosmological implications (2018, background): “The aforementioned Horndeski scalar-tensor theories with second order equations of motion have been extensively explored for this purpose [55, 56, 57].”