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

Abstract

We present a new family of charged C-metrics in $\mathcal{N}=2$ 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 Lü and Vázquez-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.

21 pages, 1 table, 6 figures; v2: minor modifications, refs added, to appear in PRD

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Cited by in corpus (10)

• Exploring Accelerating Hairy Black Holes in $2+1$ Dimensions: The Asymptotically Locally Anti-de Sitter Class and its Holography
• Solutions and basic properties of regularized Maxwell theory
• Thermodynamic topological classes of the rotating, accelerating black holes
• Wormhole $C$ metric
• Hairy black holes in AdS with Robin boundary conditions
• Robinson-Trautman solutions with scalar hair and Ricci flow
• Holographic supersymmetric Renyi entropies from hyperbolic black holes with scalar hair
• Charged massless scalar fields in a charged $C$-metric black hole: Exact solutions, Hawking radiation, and scattering of scalar waves
• Supersymmetry of the Robinson-Trautman solution
• Kerr-Schild transformation of the Benenti-Francaviglia metric