Semiclassical states for a symmetry reduced gravitational system

Physics

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Physics Of Black Holes, Approximation Methods, Equations Of Motion, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

Einstein-Rosen waves can be exactly quantized. The Hamiltonian operator is a nonlinear, bounded function of the free Hamiltonian corresponding to an axisymmetric massless scalar field propagating in a 2+1 dimensional Minkowskian background. In this short review we will discuss the possibility of constructing true coherent states for this model. We also provide quantitative information about the viability of using the coherent states corresponding to the dynamics of the auxiliary, free Hamiltonian appearing in the description of the system, to study its full physical dynamics. For time periods of arbitrary length we show that this is only possible for states that are close, in a precise mathematical sense, to the vacuum.

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