Modeling Dark Sector in Horndeski Gravity at First-Order Formalism

Abstract

We investigate a cosmological scenario by finding solutions using first-order formalism in the Horndeski gravity that constrains the superpotential and implies that no free choice of scalar potential is allowed. Despite this we show that a de Sitter phase at late-time cosmology can be realized, where the dark energy sector can be identified. The scalar field equation of state tends to the cosmological scenario at present time and allows us to conclude that it can simulate the dark energy in the Horndeski gravity. * Electronic address: fabiano.

AdS/BCFT Correspondence and Horndeski Gravity in the Presence of Gauge Fields: Holographic Paramagnetism/Ferromagnetism Phase Transition

“…It is interesting to note that the above toy model can be extended in the presence of boundaries within a special case of the Horndeski gravity, [18] (see for example, refs. [19][20][21][22][23][24][25][26]). Here, the gravity theory is given through the Lagrangian…”

AdS/BCFT correspondence and Horndeski gravity in the presence of gauge fields: from holographic paramagnetism/ferromagnetism phase transition

“…This background has already been shown to encode many interesting condensed-matter-like phenomena such as superconductivity/superfluidity [15,16] and strange metallic behaviors [17], via an action characterized by the well-known Einstein-Hilbert structure together with a cosmological constant and Abelian gauge fields. It is interesting to note that the above toy model can be extended in the presence of boundaries within a special case of the Horndeski gravity [18], (see for example [19][20][21][22][23][24][25][26]). Here, the gravity theory is given through the Lagrangian…”

A study of eccentric binaries in Horndeski theory

“…In this context, Horndeski gravity presents itself to be one of the most general of such theories evading instabilities of the Ostrogradsky type [37]. The theory has been extensively tested in cluster lensing experiments [38], CMB data [39,40], etc and widely studied in the context of cosmology [41][42][43][44][45]. However, on the question of its verification using LIGO data [46][47][48][49][50][51][52], some recent works do restrict some parameters of the theory using the event GW170817 [53,54].…”