General Relativity and Quantum Cosmology
[Submitted on 31 Oct 2007 (v1), last revised 7 Oct 2009 (this version, v2)]
Title:Schrodinger Picture of Quantum Gravitational Collapse
View PDFAbstract: 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.
Submission history
From: Tanmay Vachaspati [view email][v1] Wed, 31 Oct 2007 20:08:05 UTC (19 KB)
[v2] Wed, 7 Oct 2009 02:14:32 UTC (19 KB)
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