New family of C-metrics in ${\cal N}=2$ gauged supergravity

TL;DR

This paper introduces a new family of charged C-metrics in ${ m extbf{N}=2}$ gauged supergravity, revealing novel solutions with scalar hair and analyzing their causal and supersymmetric properties.

Contribution

It presents a new family of charged C-metrics in ${ m extbf{N}=2}$ gauged supergravity, including their causal structure and supersymmetry conditions, extending previous solutions.

Findings

Solutions reduce to scalar-haired black holes in AdS when charges vanish.

Neutral solutions fail to hide curvature singularities, unlike charged ones.

Physical, non-singular solutions require nonvanishing charges.

Abstract

We present a new family of charged C-metrics in ${\cal N}=2$ gauged supergravity in four dimensions. The double Wick rotation of the C-metric allows us to bring our solution into a different family of the C-metrics previously found by L\"u and V\'azquez-Poritz. In the case of zero acceleration limit, our solution with vanishing charges reduces to the scalar haired black holes in AdS with regular horizons. Nevertheless, it turns out that each family of neutral solutions fails to veil the curvature singularity by the event horizon, showing that neither of them represents the accelerated black holes with a scalar hair. Physical solutions without visible curvature singularities are obtained only in the case of nonvanishing charges. Causal structures of the solution are spelled out in detail. We also present conditions under which the solution preserves supersymmetry.