C-metrics in Gauged STU Supergravity and Beyond

TL;DR

This paper constructs and analyzes charged and time-dependent dilaton C-metric solutions in various supergravity and Einstein-Maxwell-dilaton theories, providing holographic models of strongly-coupled field theories in dynamic backgrounds.

Contribution

It introduces new charged and time-dependent dilaton C-metric solutions in gauged supergravity and Einstein-Maxwell-dilaton theories, expanding the set of holographic models.

Findings

Charged dilaton C-metrics in gauged supergravity constructed.

Time-dependent dilaton C-metrics and Ernst solutions developed.

Holographic descriptions of dynamic three-dimensional field theories provided.

Abstract

We construct charged generalizations of the dilaton C-metric in various four-dimensional theories, including STU gauged supergravity as well as a one-parameter family of Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential. In addition, we present time-dependent generalizations of the dilaton C-metric and dilaton Ernst solutions, for which the time evolution is driven by the dilaton. These C-metric solutions provide holographic descriptions of a strongly-coupled three-dimensional field theory on the background of a black hole, a gravitational soliton, and a black hole undergoing time evolution.