Dark energy scenario consistent with GW170817 in theories beyond Horndeski gravity
arXiv:1802.02728 · doi:10.1103/PhysRevD.97.103501
Abstract
The Gleyzes-Langlois-Piazza-Vernizzi (GLPV) theories up to quartic order are the general scheme of scalar-tensor theories allowing the possibility for realizing the tensor propagation speed equivalent to 1 on the isotropic cosmological background. We propose a dark energy model in which the late-time cosmic acceleration occurs by a simple k-essence Lagrangian analogous to the ghost condensate with cubic and quartic Galileons in the framework of GLPV theories. We show that a wide variety of the variation of the dark energy equation of state including the entry to the region can be realized without violating conditions for the absence of ghosts and Laplacian instabilities. The approach to the tracker equation of state during the matter era, which is disfavored by observational data, can be avoided by the existence of a quadratic k-essence Lagrangian . We study the evolution of nonrelativistic matter perturbations for the model and show that the two quantities and , which are related to the Newtonian and weak lensing gravitational potentials respectively, are practically equivalent to each other, such that . For the case in which the deviation of from is significant at a later cosmological epoch, the values of and tend to be larger at low redshifts. We also find that our dark energy model can be consistent with the bounds on the deviation parameter from Horndeski theories arising from the modification of gravitational law inside massive objects.
23 pages, 7 figures, published version
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