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The BTZ black hole as a Lorentz-flat geometry

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arxiv 1405.6657 v1 pith:O3VAQ2IT submitted 2014-05-26 gr-qc hep-th

Pedro D. Alvarez , Pablo Pais , Eduardo Rodriguez , Patricio Salgado-Rebolledo , Jorge Zanelli This is my paper · ORCID
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keywords blackholelorentz-flatanti-declassconnectiondimensionalendowed
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It is shown that 2+1 dimensional anti-de Sitter spacetimes are Lorentz-flat. This means, in particular, that any simply-connected patch of the BTZ black hole solution can be endowed with a Lorentz connection that is locally pure gauge. The result can be naturally extended to a wider class of black hole geometries and point particles in three-dimensional spacetime.

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