- Letter
Exact, nonsingular black holes from a phantom DBI field as primordial dark matter
Phys. Rev. D 113, L101503 – Published 7 May, 2026
DOI: https://doi.org/10.1103/118s-qpgy
Abstract
We present the first exact, nonsingular black hole solution in general relativity sourced by a Dirac-Born-Infeld (DBI) scalar field. Crucially, the solution is exclusively supported by the phantom branch of the DBI action, dynamically replacing the central singularity with a regular core. The solution is asymptotically flat, possesses nontrivial scalar hair, and replaces the central singularity with a regular two-sphere. The mechanism for singularity resolution is a dynamical kinetic stiffness, which also explains the evasion of classical no-hair theorems. We show these black holes evaporate to a nonsingular relic with mass of the order of a gram. This provides a robust mechanism to evade standard evaporation constraints, opening a vast, previously forbidden mass window for light primordial black holes to constitute dark matter. The model is testable via distinctive gravitational-wave signatures from its scalar hair.