
TL;DR
This paper explores stabilizing extremal black holes in external electromagnetic fields, demonstrating a supergravity model where black holes can be levitated and trapped, resembling a mechanical Levitron.
Contribution
It introduces a supergravity framework for trapping black holes using external fields, extending multi-center solutions to a continuum limit for stable levitation.
Findings
Black holes can be stabilized in external fields within supergravity models.
A continuum limit of multi-center solutions enables black hole trapping.
The setup resembles a mechanical Levitron, offering new insights into black hole manipulation.
Abstract
We study the problem of spatially stabilising four dimensional extremal black holes in background electric/magnetic fields. Whilst looking for stationary stable solutions describing black holes kept in external fields we find that taking a continuum limit of Denef et al's multi-center solutions provides a supergravity description of such backgrounds within which a black hole can be trapped in a given volume. This is realised by levitating a black hole over a magnetic dipole base. We comment on how such a construction resembles a mechanical Levitron.
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