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Global Embeddings of BTZ and Schwarzschild-ADS Type Black Holes in a Flat Space

High Energy & Elementary Particle Physics Department, Saint Petersburg State University, St. Petersburg 198504, Russia
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Symmetry 2019, 11(7), 841; https://doi.org/10.3390/sym11070841
Received: 9 June 2019 / Revised: 23 June 2019 / Accepted: 25 June 2019 / Published: 29 June 2019
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Abstract

We study the problem of construction of global isometric embedding for spherically symmetric black holes with negative cosmological constant in various dimensions. Firstly, we show that there is no such embedding for 4D RN-AdS black hole in 6D flat ambient space, completing the classification which we started earlier. Then we construct an explicit embedding of non-spinning BTZ black hole in 6D flat ambient space. Using this embedding as an anzats, we then construct a global explicit embedding of d-dimensional Schwarzschild-AdS black hole in a flat ( d + 3 ) -dimensional ambient space. View Full-Text
Keywords: isometric embedding; GEMS; BTZ black hole; Schwarzschild-AdS black hole; anti-de Sitter isometric embedding; GEMS; BTZ black hole; Schwarzschild-AdS black hole; anti-de Sitter
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Sheykin, A.; Solovyev, D.; Paston, S. Global Embeddings of BTZ and Schwarzschild-ADS Type Black Holes in a Flat Space. Symmetry 2019, 11, 841.

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