We present a general method for constructing acoustic analogs of the black
hole solutions of two-dimensional (2D) dilaton gravity. Because by dimensional
reduction every spherically symmetric, four-dimensional (4D) black hole admits
a 2D description, the method can be also used to construct analogue models of
4D black holes. We also show that after fixing the gauge degrees of freedom the
2D gravitational dynamics is equivalent to an one-dimensional fluid dynamics.
This enables us to find a natural definition of mass M, temperature T and
entropy S of the acoustic black hole. In particular the first principle of
thermodynamics dM=TdS becomes a consequence of the fluid dynamics equations.
We also discuss the general solutions of the fluid dynamics and two particular
cases, the 2D Anti-de sitter black hole and the 4D Schwarzschild black hole.Comment: some references adde
