Physics
Scientific paper
Oct 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989anphy.195..190r&link_type=abstract
Ann. Phys. (N.Y.), Vol. 195, No. 1, p. 190 - 212
Physics
Black Holes: Formation, Gravitational Collapse
Scientific paper
The authors formulate the problem of accelerating mirrors upon which quantum fields satisfy Dirichlet boundary conditions, with the associated Hawking effect, in a functional Schrödinger picture. Systems of this kind model some aspects of gravitational collapse leading to the formation of a black-hole. The criterion for the non-separability of the mode expansion in space- and time-dependences is the non-vanishing of a certain second-rank antisymmetric functional. Arbitrarily moving mirrors involve the functional analogue of the quantum mechanics of a charged particle in an external magnetic field. It is solved explicitly for a special case corresponding to the analogue of gravitational collapse.
Hill Christopher T.
Reuter Martin
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