Abstract
The functional Schrödinger equation is used to study the quantum collapse of a gravitating, spherical domain wall and a massless scalar field coupled to the metric. The approach includes backreaction of pre-Hawking radiation on the gravitational collapse. Truncating the degrees of freedom to a minisuperspace leads to an integro-differential Schrödinger equation. We define a 'black hole' operator and find its eigenstates. The black hole operator does not commute with the Hamiltonian, leading to an energy-black holeness uncertainty relation. We discuss energy eigenstates and also obtain a partial differential equation for the time-dependent gravitational collapse problem.
Original language | English (US) |
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Article number | 215007 |
Journal | Classical and Quantum Gravity |
Volume | 26 |
Issue number | 21 |
DOIs | |
State | Published - 2009 |
Externally published | Yes |
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)