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High Energy Physics - Theory, hep-th,General Relativity and Quantum Cosmology, gr-qc
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.
