A semi-classical relativistic black hole

A new two-dimensional black hole model, based on the "R=T" relativistic theory, is introduced, and the quantum massless scalar field is studied in its classical gravitational field. In particular infrared questions are discussed. The two-point function, energy-momentum tensor, current, Bogoliubov transformations and the mean number of created particles for a given test function are computed. I show that this black hole emits massless scalar particles spontaneously. Comparison with the corresponding field theory in a thermal bath shows that the spontaneous emission is everywhere thermal, i.e. not only near the horizon.