Higher Spin Black Holes in Three Dimensions: Comments on Asymptotics and Regularity

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 highe...

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Bibliographic Details
Published inarXiv.org
Main Authors Banados, M, Canto, R, Theisen, S
Format Paper Journal Article
LanguageEnglish
Published Ithaca Cornell University Library, arXiv.org 21.01.2016
Subjects
Asymptotic properties
Black holes
Field theory (physics)
Organic chemistry
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Physics - Theory
Quantum theory
Regularity
Toruses
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1601.05827