Quantum effects in Acoustic Black Holes: the Backreaction
General Relativity and Quantum Cosmology
2009-11-10 v2 Other Condensed Matter
High Energy Physics - Theory
Abstract
We investigate the backreaction equations for an acoustic black hole formed in a Laval nozzle under the assumption that the motion of the fluid is one-dimensional. The solution in the near-horizon region shows that as phonons are (thermally) radiated the sonic horizon shrinks and the temperature decreases. This contrasts with the behaviour of Schwarzschild black holes, and is similar to what happens in the evaporation of (near-extremal) Reissner-Nordstrom black holes (i.e. infinite evaporation time). Finally, by appropriate boundary conditions the solution is extended in both the asymptotic regions of the nozzle.
Keywords
Cite
@article{arxiv.gr-qc/0405098,
title = {Quantum effects in Acoustic Black Holes: the Backreaction},
author = {R. Balbinot and S. Fagnocchi and A. Fabbri},
journal= {arXiv preprint arXiv:gr-qc/0405098},
year = {2009}
}
Comments
23 pages, latex, 1 figure; revised version, to appear in Phys. Rev. D