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Journal Article

Higher spin black holes in three dimensions: Remarks on asymptotics and regularity

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Theisen,  S.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1601.05827.pdf
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Citation

Banados, M., Canto, R., & Theisen, S. (2016). Higher spin black holes in three dimensions: Remarks on asymptotics and regularity. Physical Review D, 94: 024002. doi:10.1103/PhysRevD.94.024002.


Cite as: https://hdl.handle.net/11858/00-001M-0000-002A-7161-0
Abstract
In the context of (2+1)--dimensional SL(N,R)\times SL(N,R) Chern-Simons theory we explore issues related to regularity and asymptotics on the solid torus, for stationary and circularly symmetric solutions. We display and solve all necessary conditions to ensure a regular metric and metric-like higher spin fields. We prove that holonomy conditions are necessary but not sufficient conditions to ensure regularity, and that Hawking conditions do not necessarily follow from them. Finally we give a general proof that once the chemical potentials are turn on -- as demanded by regularity -- the asymptotics cannot be that of Brown-Henneaux.