Dynamic C-metrics in (Gauged) Supergravities

TL;DR

This paper constructs exact time-dependent charged dilaton C-metrics in gauged supergravity, revealing how scalar fields influence black hole evolution and providing holographic insights into dynamic conformal field theories.

Contribution

It introduces a novel exact time-dependent charged dilaton C-metric in gauged supergravity, linking scalar field dynamics to black hole evolution and holography.

Findings

Scalar field transfers energy to black holes, increasing their mass.

The solution describes a holographic dual of a dynamic 3D conformal field theory.

New static charged dilaton C-metrics are also derived.

Abstract

We construct an exact time-dependent charged dilaton C-metric in four-dimensional ${\cal N}=4$ gauged supergravity. The scalar field drives the time evolution by transferring energy to the black holes, thereby causing their masses to increase and their acceleration to decrease. The values of the electric/magnetic and scalar charges determine three regions of potential time evolution. This solution holographically describes a strongly-coupled three-dimensional conformal field theory on the background of an evolving black hole. We also find new static charged dilaton C-metrics, which arise in four-dimensional Einstein-Maxwell-dilaton theories whose scalar potential can be expressed in terms of a superpotential.