Quantum collapse of Newtonian dust shells

Details Quantum collapse of Newtonian dust shells Quantum collapse of Newtonian dust shells

Feb 2004

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2004cqgra..21s.323r&link_type=abstract

Classical and Quantum Gravity, Volume 21, Issue 3, pp. S323-S338 (2004).

Physics

2

Scientific paper

This paper considers a Newtonian approach to the quantum collapse of infinitesimally thin dust shells. It is possible to use elementary Newtonian calculations to find the equations of motion of the shell in terms of variables defined on the shell. The quantum problem reduces to the analogue of the non-relativistic hydrogen atom. One can study the Newtonian analogue of horizon formation by defining a 'horizon' as the point where the escape velocity at the surface of the shell becomes the speed of light. Various definitions of horizon formation in the quantum case will be considered.
It is a great pleasure to be able to contribute to this special issue in honour of Vincent Moncrief. I have known Vince since we were graduate students together and have always admired his physical insight and capacity to solve complex problems with ease. I wish him many more productive years and even more success.

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