AdS backgrounds and induced gravity

TL;DR

This paper explores how Anti-de Sitter (AdS) solutions arise in generalized gravity theories with scalar fields and higher derivatives, revealing conditions for AdS emergence and analyzing fluctuations.

Contribution

It introduces new AdS solutions in generalized gravity models with non-minimal scalar couplings and higher derivatives, detailing their fluctuation actions.

Findings

AdS solutions exist in various dimensions within these theories.

Induced gravity emerges when the scalar field acquires a vacuum expectation value.

Fluctuation actions are derived up to cubic order.

Abstract

In this paper we look for AdS solutions to generalised gravity theories in the bulk in various spacetime dimensions. The bulk gravity action includes the action of a non-minimally coupled scalar field with gravity, and a higher-derivative action of gravity. The usual Einstein-Hilbert gravity is induced when the scalar acquires a non-zero vacuum expectation value. The equation of motion in the bulk shows scenarios where AdS geometry emerges on-shell. We further obtain the action of the fluctuation fields on the background at quadratic and cubic orders.