Notes on a Quantum Gravitational Collapse

Details Notes on a Quantum Gravitational Collapse Notes on a Quantum Gravitational Collapse

Dec 2002

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2002nmgm.meet.1513b&link_type=abstract

"THE NINTH MARCEL GROSSMANN MEETING On Recent Developments in Theoretical and Experimental General Relativity, Gravitation and R

Physics

Scientific paper

Everybody knows what the classical black holes are. In short, this is a spacetime region beyond the so-called event horizon. The notion of the event horizon is mathematically well defined. The situation with a definition of quantum black hole is not so clear. The problem is that the classical event horizon can be defined only globally, i.e. in order to be sure we have a black hole we would need an infinite time interval. But, in classical physics we have trajectories off all the particles and equations of motion for all the fields and can, in principle, construct some ideal models for the gravitational collapse and study the black hole formation under different conditions. In quantum theory we have no trajectory and, therefore, can not define an event horizon. Moreover, we expect (in analogy with the hydrogen atom model) the existence of bound states with discrete mass (energy) spectrum. Thus, the very process of quantum gravitational collapse should be quite different from the classical collapse. It seems reasonable to try to construct some simple quantum mechanical models in order to understand, what the definition of quantum black hole could be. Our opinion is that we need to look for some special quantum state (or states) which have such a property as the absence of "quantum hairs" (loss of the initial data memory, appearance of some entropy and all that)...

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