Reconstruction in the Horndeski theory within the scope of the Bianchi I cosmology

Abstract

In the previous article Eur. Phys. J. Plus 136, 590 (2021) (arXiv: 2110.15396) we have proposed a reconstruction method for the kinetic gravity braiding theory in the framework of the flat Friedman-Robertson-Walker spacetime. Here we develop this method in the Bianchi I spacetime model for a subclass of the Horndeski theory: $G_5\sim \varphi$, $G_2(X)\ne 0$, $G_3(X)\ne 0$. The Hubble parameter $H(t)$ and the canonical kinetic term $X(t)$ are set a priori. The choice of the function $X(t)$ determines the anisotropic properties of the Universe. This makes it possible to provide believable anisotropy. The presented method allows for a realistic model of the Universe to simply reconstruct some scalar field theory. Reconstruction example is given for anisotropic model of a post-inflationary transition to the radiation-dominated phase. The model is investigated for the absence ghosts and Laplacian instabilities.

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Cited by in corpus (4)

• Phantom attractors in Kinetic Gravity Braiding theories: a dynamical system approach
• The nonlinear anisotropic model of the Universe with the linear potential
• Magnetic Bianchi-I cosmology in the Horndeski theory
• Exact cosmological solutions with magnetic field in the theory of gravity with non-minimal kinetic coupling