Breaking of Vainshtein screening in scalar-tensor theories beyond Horndeski

Abstract

The Horndeski theory of gravity is known as the most general scalar-tensor theory with second-order field equations. Recently, it was demonstrated by Gleyzes et al. that the Horndeski theory can further be generalized in such a way that although field equations are of third order, the number of propagating degrees of freedom remains the same. We study small-scale gravity in the generalized Horndeski theory, focusing in particular on an impact of the new derivative interaction beyond Horndeski on the Vainshtein screening mechanism. In the absence of the quintic galileon term and its generalization, we show that the new interaction does not change the qualitative behavior of gravity outside and near the source: the two metric potentials coincide, $\Phi =\Psi (\sim r^{-1})$, while the gravitational coupling is given by the cosmological one and hence is time-dependent in general. We find, however, that the gravitational field inside the source shows a novel behavior due to the interaction beyond Horndeski: the gravitational attraction is not determined solely from the enclosed mass and two potentials do not coincide, indicating breaking of the screening mechanism.

14 pages, 1 figure; v2: additional material added, published version

References in corpus (12)

• Quantum Gravity at a Lifshitz Point
• Resummation of Massive Gravity
• On the Extra Mode and Inconsistency of Horava Gravity
• Screening Modifications of Gravity through Disformally Coupled Fields
• Unifying framework for scalar-tensor theories of gravity
• Hamiltonian analysis of spatially covariant gravity
• Hamiltonian structure of scalar-tensor theories beyond Horndeski
• Equivalence Principle Violation in Vainshtein Screened Two-Body Systems
• Cosmology in generalized Horndeski theories with second-order equations of motion
• Effective field theory of modified gravity on the spherically symmetric background: leading order dynamics and the odd-type perturbations
• Non-Gaussian inflationary shapes in $G^3$ theories beyond Horndeski
• Galileons and strong gravity

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