### Abstract

Canonical quantization of spherically-symmetric Ashtekar-Wheeler-DeWitt midisuperspace theory is performed. Semiclassical states, with integration constant identified with the mass parameter of black holes, are solved exactly from the Hamilton-Jacobi equation. These states can be matched to Schwarzschild spacetimes in usual standard spherically-symmetric form and also in Painleve-Gullstrand form. The Hamilton function remains well-defined at the classical singularity; and it has an imaginary contribution (independent of the Immirzi parameter in Ashtekar-Barbero theory) which can be interpreted as yielding the correct Bekenstein-Hawking entropy-area relation.

Original language | English |
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Title of host publication | Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |

Editors | Roland Triay, Jean Tran Thanh Van, Ludwik M. Celnikier |

Publisher | The Gioi Publishers |

Pages | 139-141 |

Number of pages | 3 |

ISBN (Electronic) | 6047706193, 9786047706198 |

Publication status | Published - 2011 Jan 1 |

Event | 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 - Quy Nhon, Viet Nam Duration: 2011 Dec 15 → 2011 Dec 21 |

### Publication series

Name | Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |
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### Conference

Conference | 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 |
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Country | Viet Nam |

City | Quy Nhon |

Period | 11-12-15 → 11-12-21 |

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics

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## Cite this

*Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011*(pp. 139-141). (Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011). The Gioi Publishers.