### 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) |
---|---|

Article number | 215007 |

Journal | Classical and Quantum Gravity |

Volume | 26 |

Issue number | 21 |

DOIs | |

State | Published - 2009 |

Externally published | Yes |

### Fingerprint

### ASJC Scopus subject areas

- Physics and Astronomy (miscellaneous)

### Cite this

**Schrödinger picture of quantum gravitational collapse.** / Vachaspati, Tanmay.

Research output: Contribution to journal › Article

*Classical and Quantum Gravity*, vol. 26, no. 21, 215007. https://doi.org/10.1088/0264-9381/26/21/215007

}

TY - JOUR

T1 - Schrödinger picture of quantum gravitational collapse

AU - Vachaspati, Tanmay

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=70350614484&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=70350614484&partnerID=8YFLogxK

U2 - 10.1088/0264-9381/26/21/215007

DO - 10.1088/0264-9381/26/21/215007

M3 - Article

AN - SCOPUS:70350614484

VL - 26

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

SN - 0264-9381

IS - 21

M1 - 215007

ER -