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arXiv · 1609.00824

AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases

Ramit Dey·Stefano Liberati·Rodrigo Turcati
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Abstract

We show that Schwarzschild black hole solutions in asymptotically Anti-de Sitter (AdS) and de Sitter (dS) spaces may, up to a conformal factor, be reproduced in the framework of analogue gravity. The aforementioned derivation is performed using relativistic and non-relativistic Bose-Einstein condensates. In addition, we demonstrate that the (2+1) planar AdS black hole can be mapped into the non-relativistic acoustic metric. Given that AdS black holes are extensively employed in the gauge/gravity duality, we then comment on the possibility to study the AdS/CFT correspondence and gravity/fluid duality from an analogue gravity perspective.

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Ramit Dey, Stefano Liberati, Rodrigo Turcati. 2016-09-03. AdS and dS black hole solutions in analogue gravity: The relativistic and non-relativistic cases. https://doi.org/10.1103/physrevd.94.104068

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