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

TL;DR

This paper demonstrates how Schwarzschild black hole solutions in AdS and dS spaces can be modeled using analogue gravity in Bose-Einstein condensates, enabling potential studies of holographic dualities through laboratory analogues.

Contribution

It introduces a method to reproduce AdS and dS black hole metrics in analogue gravity setups using both relativistic and non-relativistic Bose-Einstein condensates, including the non-relativistic mapping of AdS black holes.

Findings

Black hole solutions can be modeled with analogue gravity in BECs.

Non-relativistic acoustic metrics can represent AdS black holes.

Potential for studying AdS/CFT and gravity/fluid duality experimentally.

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.