Schrodinger Picture of Quantum Gravitational Collapse

Details Schrodinger Picture of Quantum Gravitational Collapse Schrodinger Picture of Quantum Gravitational Collapse

2007-10-31

arxiv.org/abs/0711.0006v2

Class.Quant.Grav.26:215007,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages, 1 figure. Matches published version

Scientific paper

The functional Schrodinger 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 Schrodinger 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.

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