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

Chopin Soo

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

Department of Physics

Research output: Chapter in Book/Report/Conference proceeding › Conference 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 language	English
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

Conference

Conference	10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011
Country	Viet Nam
City	Quy Nhon
Period	11-12-15 → 11-12-21

All Science Journal Classification (ASJC) codes

Astronomy and Astrophysics

Access to Document

Fingerprint Dive into the research topics of 'Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory'. Together they form a unique fingerprint.

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.

Soo, Chopin. / Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory. Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011. editor / Roland Triay ; Jean Tran Thanh Van ; Ludwik M. Celnikier. The Gioi Publishers, 2011. pp. 139-141 (Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011).

@inproceedings{dea3b199358440c2a82fd91d295c7645,

title = "Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory",

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.",

author = "Chopin Soo",

year = "2011",

month = jan,

day = "1",

language = "English",

series = "Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011",

publisher = "The Gioi Publishers",

pages = "139--141",

editor = "Roland Triay and {Tran Thanh Van}, Jean and Celnikier, {Ludwik M.}",

booktitle = "Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011",

note = "10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 ; Conference date: 15-12-2011 Through 21-12-2011",

}

Soo, C 2011, Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory. in R Triay, J Tran Thanh Van & LM Celnikier (eds), Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011. Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011, The Gioi Publishers, pp. 139-141, 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011, Quy Nhon, Viet Nam, 11-12-15.

Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory. / Soo, Chopin.

Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011. ed. / Roland Triay; Jean Tran Thanh Van; Ludwik M. Celnikier. The Gioi Publishers, 2011. p. 139-141 (Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

TY - GEN

T1 - Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory

AU - Soo, Chopin

PY - 2011/1/1

Y1 - 2011/1/1

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85079528707&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=85079528707&partnerID=8YFLogxK

M3 - Conference contribution

T3 - Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011

SP - 139

EP - 141

BT - Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011

A2 - Triay, Roland

A2 - Tran Thanh Van, Jean

A2 - Celnikier, Ludwik M.

PB - The Gioi Publishers

T2 - 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011

Y2 - 15 December 2011 through 21 December 2011

ER -

Soo C. Computation of black hole entropy from Ashtekar-Wheeler-DeWitt field theory. In Triay R, Tran Thanh Van J, Celnikier LM, editors, Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011. The Gioi Publishers. 2011. p. 139-141. (Proceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011).