Supersymmetric black holes with spiky horizons

TL;DR

This paper constructs new half-BPS black hole solutions in gauged supergravity with spiky horizons and explores their extensions and holographic implications.

Contribution

It introduces novel supersymmetric black hole geometries with conical singularities and extends some to full solutions, enriching the landscape of supergravity solutions.

Findings

Black holes with noncompact horizons constructed.

Spherical horizons with conical singularities found.

Solutions with NUT charge asymptoting to curved domain walls.

Abstract

We use the recipe of arXiv:1003.2974 to find half-BPS near-horizon geometries in the t$^3$ model of $N=2$, $D=4$ gauged supergravity, and explicitely construct some new examples. Among these are black holes with noncompact horizons, but also with spherical horizons that have conical singularities (spikes) at one of the two poles. A particular family of them is extended to the full black hole geometry. Applying a double-Wick rotation to the near-horizon region, we obtain solutions with NUT charge that asymptote to curved domain walls with AdS$_3$ world volume. These new solutions may provide interesting testgrounds to address fundamental questions related to quantum gravity and holography.