Charged Dilatonic Spacetimes in String Theory

Abstract

We construct and study general static, spherically symmetric, magnetically charged solutions in Einstein-Maxwell-dilaton gravity in four dimensions. That is, taking Einstein gravity coupled to a $\mathrm{U}(1)$ gauge field and a massless dilaton$\unicode{x2014}$e.g., the action in the low-energy limit of string theory or Kaluza-Klein reduction$\unicode{x2014}$with arbitrary dilaton coupling, we build a three-parameter family of objects characterized by their mass, charge, and dilaton flux, generalizing the well known Garfinkle-Horowitz-Strominger black hole. We analyze the near-extremal and near-horizon behavior in detail, finding new warped geometries. In a particular limit, where the geometry reduces to the recently discovered customizable ${\mathrm{AdS}}_2\times S^2$ of Einstein-Maxwell-dilaton gravity, we compute the static s-wave linearized solutions and characterize the anabasis relating the horizon perturbations to their nonlinear completions within our generalized family of spacetimes.

arXiv comment20 pages, 2 figures

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• Causality, Unitarity, and the Weak Gravity Conjecture
• Dilaton Black Holes with Electric Charge
• Static spherically symmetric solutions to Einstein-Maxwell Dilaton field equations in D dimensions
• Extreme Black Hole Anabasis
• Static spacetimes haunted by a phantom scalar field II: dilatonic charged solutions
• Horizon Acoustics of the GHS Black Hole and the Spectrum of ${\mathrm{AdS}}_2$

Cited by in corpus (1)

• Black hole scattering near the transition to plunge: Self-force and resummation of post-Minkowskian theory