Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2004-05-18
Phys.Rev. D71 (2005) 064019
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
23 pages, latex, 1 figure; revised version, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.71.064019
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.
Balbinot Roberto
Fabbri Alessandro
Fagnocchi Serena
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