Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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 languageEnglish
Title of host publicationProceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011
EditorsRoland Triay, Jean Tran Thanh Van, Ludwik M. Celnikier
PublisherThe Gioi Publishers
Pages139-141
Number of pages3
ISBN (Electronic)6047706193, 9786047706198
Publication statusPublished - 2011 Jan 1
Event10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 - Quy Nhon, Viet Nam
Duration: 2011 Dec 152011 Dec 21

Publication series

NameProceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011

Conference

Conference10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011
CountryViet Nam
CityQuy Nhon
Period11-12-1511-12-21

All Science Journal Classification (ASJC) codes

  • Astronomy and Astrophysics

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  • Cite this

    Soo, C. (2011). Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory. In R. Triay, J. Tran Thanh Van, & L. M. Celnikier (Eds.), 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.