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    From wormhole to black hole with negative mass

    Ze Li1, Hai-Shan Liu1,*, and H. Lü1,2

    • 1Center for Joint Quantum Studies, Department of Physics, School of Science, Tianjin University, Tianjin 300350, China
    • 2The International Joint Institute of Tianjin University, Fuzhou, Tianjin University, Tianjin 300350, China

    • *Contact author: hsliu.zju@gmail.com

    Phys. Rev. D 113, 044032 – Published 10 February, 2026

    DOI: https://doi.org/10.1103/9h7h-686p

    Abstract

    We construct new black holes using the curvature-induced scalarization mechanism in Einstein gravity coupled to a massless phantom scalar. We find that the general wormhole solutions with independent scalar charge can turn into a black hole with secondary scalar hair that is a function of the mass only. The long-range force between the two identical black holes can be attractive, zero, or repulsive, depending on the mass/scalar charge relation. Furthermore, the black hole mass can be negative. Our finding suggests that exotic matter responsible for wormholes can also lead to exotic black holes.

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