Spontaneous spherical symmetry breaking of black holes with resonant hair
José Ferreira, Carlos A. R. Herdeiro, Eugen Radu, Miguel Zilhão
TLDR
This paper shows that black holes with resonant hair are dynamically unstable, decaying via fission or absorption due to non-spherical dynamics.
Key contributions
- Details the dynamic instability of black holes with resonant hair.
- Identifies a new decay channel for these charged black hole solutions.
- Shows instabilities are generic across different scalar self-interaction models.
- Concludes resonant hair black holes decay via fission or absorption to bald black holes.
Why it matters
This paper resolves a long-standing question about the stability of black holes with resonant hair. By demonstrating their dynamic instability and identifying decay mechanisms, it significantly advances our understanding of exotic black hole solutions. The findings highlight the critical role of non-spherical dynamics in black hole evolution.
Original Abstract
Black holes with resonant hair are static, spherical, electrically charged solutions of the Einstein-Maxwell-(gauged-)scalar system. Scalar self-interactions are mandatory for their existence. Initial dynamical studies restricted to spherical symmetry suggested stability; more recently, fully non-spherical dynamical studies revealed instabilities, at least for a particular class of self-interactions. Here, we provide a more detailed study of this instability together with a different decay channel, depending on the chosen solutions. Moreover, considering a second model, we provide evidence that the instabilities may be generic for different classes of self-interactions. We conclude these solutions are dynamically unstable and split into a bosonic lump and a bald black hole (via fission) or implode to the latter (via absorption). In both cases, the non-spherical dynamics seems to be key.
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