Time-periodic solutions of massive scalar fields in AdS background: perturbative constructions

Understand

We consider scalar fields which are coupled to Einstein gravity with a negative cosmological constant, and construct periodic solutions perturbatively.

• In particular, we study tachyonic scalar fields whose mass is at or above the Breitenlohner-Freedman bound in four, five, and seven spacetime dimensions.
• The critical amplitude of the leading order perturbation, for which the perturbative expansion breaks down, increases as we consider less massive fields.
• We present various examples including a model with a self-interacting scalar field which is derived from a consistent truncation of IIB supergravity.