M P Ryan Jr 2004 Class. Quantum Grav. 21 S323 doi:10.1088/0264-9381/21/3/020
Quantum collapse of Newtonian dust shells*
M P Ryan Jr
Show affiliationsThis 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.
- Footnote
- PACS
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04.25.-g Approximation methods; equations of motion
04.60.Kz Lower dimensional models; minisuperspace models
04.20.Fy Canonical formalism, Lagrangians, and variational principles
04.70.Dy Quantum aspects of black holes, evaporation, thermodynamics
- MSC
- Subjects
- Dates
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Issue 3 (7 February 2004)
Received 30 October 2003
Published 13 January 2004
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Quantum collapse of Newtonian dust shells
M P Ryan Jr 2004 Class. Quantum Grav. 21 S323
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