Higher dimensional flat embeddings of black strings in 2+1 dimensions

초록

We obtain (3 + 1)- and (3 + 2)-dimensional global flat embeddings of 2 + 1 uncharged and charged black strings, respectively. In particular, the charged black string, which is the dual solution of the Banados-Teitelboim-Zanelli black holes, is shown to be embedded in the same global embedding Minkowski space structure as that of the 2 + 1 charged de Sitter black hole solution.

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