Back-reaction in acoustic black holes

Abstract

Acoustic black holes are very interesting non-gravitational objects which can be described by the geometrical formalism of General Relativity. These models can be useful to experimentally test effects otherwise undetectable, as for example the Hawking radiation. The back-reaction effects on the background quantities induced by the analogue Hawking radiation could be the key to indirectly observe it. We briefly show how this analogy works and derive the backreaction equations for the linearized quantum fluctuations in the background of an acoustic black hole. A first order in solution is given in the near horizon region. It indicates that acoustic black holes, unlike Schwarzschild ones, get cooler as they radiate phonons. They show remarkable analogies with near-extremal Reissner-Nordström black holes.

Analogue Gravity

“…Applications to the cosmological constant were considered in [543]. More BEC-related developments appeared in [680,38,39,29,24,188,189]. An analogue model based on a suspended "shoestring" was explored in [282].…”

Análogos de gravitação semi-clássica em física da matéria condensada

“…Acredita-se também que sejam eles o sistema que num futuro próximo nos permitirá observar algumas predições de TQCEC em laboratório. Outros assuntos de interesse neste período foram analogias em sistemas eletromagnéticos [31] e em dielétricos quânticos ("luz lenta") [32] e o problema do back-reaction em análogos [33], [34], [35]. [36].…”