de Sitter Versus Anti‐de Sitter in Horndeski‐Like Gravity

Abstract

The general solutions of Horndeski‐like gravity that can interpolate between the de Sitter and anti‐de Sitter regimes are presented. In particular, the first‐order formalism with two scalar fields is developed, and considering a black hole ansatz with flat slicing, three different cases, namely exponential, vacuum, and smooth superpotential solutions, with no Minkowski extrema are investigated. Furthermore, these solutions show that a Renormalization Group flow is established, and a turnaround in the warp factor is obtained, where the transition is bounded by the area low. The ideal regimes to trap gravity, which are constructed using the holographic function, which provides stable and unstable regimes to localize gravity are discussed. Finally, it is shown that no ghost appear and that the matter sector that violates the c‐theorem is physical.

Magnetized AdS/BCFT Correspondence in Horndeski Gravity

“…Examples include the Hawking-Page phase transition, the Hall conductivity, fluid/gravity correspondence in Einstein gravity [13,[15][16][17] and its extensions. [18][19][20][21] In addition to the aforementioned, the nature of the AdS/BCFT duality is deeply ingrained in the holographic computation of entanglement entropy of Hawking radiation in dyonic BHs, [22] within the frameworks of Einstein gravity, [23] Horndeski gravity, [24,25] and the Randall-Sundrum (RS) model. [26] This extension of the CFT's boundary inside the bulk of the AdS-space is a modification of a thin RS brane, which intersects the AdS boundary.…”