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Global Embeddings of Two-dimensional Dilatonic Black Holes

Soon-Tae Hong·Won Tae Kim·John J. Oh·Young-Jai Park
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Abstract

We obtain minimal (2+1) and (2+2) dimensional global flat embeddings of uncharged and charged dilatonic black holes in (1+1) dimensions, respectively. Moreover, we obtain the Hawking temperatures and the black hole ones of these dilatonic black holes. However, even though the minimal flat embedding structures are mathematically meaningful, through this minimal embeddings the proper entropies are shown to be unattainable, contrast to the cases of other black holes in (2+1) or much higher dimensions.

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Soon-Tae Hong, Won Tae Kim, John J. Oh, Young-Jai Park. 2003-02-11. Global Embeddings of Two-dimensional Dilatonic Black Holes. https://arxiv.org/abs/gr-qc/0110057

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