Dynamical moving mirrors and black holes.

Physics – Nuclear Physics

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Black Holes: Formation

Scientific paper

A simple quantum mechanical model of N free scalar fields interacting with a dynamical moving mirror is formulated and shown to be equivalent to two-dimensional dilaton gravity. The authors derive the semi-classical dynamics of this system, by including the back reaction due to the quantum radiation. They develop a hamiltonian formalism that describes the time evolution as seen by an asymptotic observer, and write a scattering equation that relates the in-falling and out-going modes at low energies. At higher incoming energy flux, however, the semi-classical model appears to become unstable and the mirror seems to accelerate forever along a trajectory that runs off to infinity. This instability provides a useful paradigm for black hole formation and introduces an analogous information paradox.

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