TL;DR
This paper explores back-reaction effects in acoustic black holes, deriving equations for quantum fluctuations and revealing that these objects cool as they radiate, similar to certain gravitational black holes.
Contribution
It introduces the backreaction equations for quantum fluctuations in acoustic black holes and analyzes their thermal behavior, highlighting novel analogies with gravitational black holes.
Findings
Acoustic black holes get cooler as they radiate phonons.
Derived backreaction equations for linearized quantum fluctuations.
Showed similarities with near-extremal Reissner-Nordstrom 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 hbar 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-Nordstrom black holes.
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