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arXiv · 0711.0006

Schrodinger Picture of Quantum Gravitational Collapse

Tanmay Vachaspati
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Abstract

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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Tanmay Vachaspati. 2009-10-07. Schrodinger Picture of Quantum Gravitational Collapse. https://doi.org/10.1088/0264-9381%2F26%2F21%2F215007

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