Noether Theorem and Black Hole's Mass Formula and Entropy

HUANG Chao-Guang; GUO Han-Ying; WU Xiao-Ning

近期发现有不法分子冒充我刊与作者联系，借此进行欺诈等不法行为，请广大作者加以鉴别，如遇诈骗行为，请第一时间与我刊编辑部联系确认（《中国物理C》（英文）编辑部电话：010-88235947,010-88236950），并作报警处理。

本刊再次郑重声明：

（1）本刊官方网址为cpc.ihep.ac.cn和https://iopscience.iop.org/journal/1674-1137

（2）本刊采编系统作者中心是投稿的唯一路径，该系统为ScholarOne远程稿件采编系统，仅在本刊投稿网网址（https://mc03.manuscriptcentral.com/cpc）设有登录入口。本刊不接受其他方式的投稿，如打印稿投稿、E-mail信箱投稿等，若以此种方式接收投稿均为假冒。

（3）所有投稿均需经过严格的同行评议、编辑加工后方可发表，本刊不存在所谓的“编辑部内部征稿”。如果有人以“编辑部内部人员”名义帮助作者发稿，并收取发表费用，均为假冒。

《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 2003, Vol. 27> Issue(10) : 879-883

Noether Theorem and Black Hole's Mass Formula and Entropy

Institute of High Energy Physics,CAS,Beijing 100039,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Max-Plank-Insitut filr Gravitationsphysik,14476,Golm,Germany

Abstract
HTML
Reference
Related

PDF

Abstract：
The Noether charge formalism on the covariant phase space is used and developed. For a stationary axisym-metric black hole in vacuum general relativity, the mass formula is the vanishing Noether charge with respect to the Killing vector field an entire Cauchy surface. Its differential form gives the first law of black hole mechanics . For a large class of vector fields, the central term of the reduced algebra near the horizon is proved to be zero by use of the null tetrad formalism. It implies that the microscopic interpretation of the black hole entropy based on the symmetry analysis proposed by Carlip is debatable.

References

[1]

Wald R M. Phys. Rev., 1993, D48: R3427; Living Rev. Rel., 2001, 4(6) : 12 Carlip S. Class. Quan. Gray., 1999, 16:3327; Nucl. Phys. Proc. Suppl., 2000, 88:10; Phys. Rev. Lett., 2002, 88:241301 3 Cardy J A. Nucl. Phys. 1986, B270:1864 WU Xiao–Ning, GUO Han–Ying, HUANG Chao–Guang et al. Commun. Theor. Phys. , 2002, 38 : 309 5 GUO Han–Ying, HUANG Chao–Guang, WU Xiaoning. Phys. Rev. 2003, D67 : 024031 6 Bardeen J M et al. Commun. Math. Phys., 1973, 31:161

[1]	BAI Hua , YAN Mo-Lin . Generalize 't Hooft's Quantum State of the Black Hole Theory. Chinese Physics C, 2005, 29(12): 1136-1141.
[2]	LI Zi-Ping . Non-local Quantal Noether Identities and Their Applications. Chinese Physics C, 2002, 26(12): 1214-1222.
[3]	LI Zi-Ping . Noether Identities at the Quantum Level. Chinese Physics C, 2002, 26(3): 230-238.
[4]	Xu Chunxian , He Huilin , Chen Yongzhong , He Huihai , Li Huidong , Zhang Yong , Jiang Yinlin . Search for TeV Gamma Ray Bursts From Evaporating Primordial Black Holes. Chinese Physics C, 1999, 23(1): 35-38.
[5]	Li Ziping . Generalization and Application of the Noether's Identities. Chinese Physics C, 1995, 19(S2): 157-163.
[6]	Li Ziping . Generalization of the Noether's Identities and Application. Chinese Physics C, 1995, 19(4): 320-326.
[7]	Zhong Yunxiao , Hu Jimin . Study of the Multidimensional Kramers'Equation. Chinese Physics C, 1994, 18(10): 949-954.
[8]	LIU Jian-Ye , YANG Fu-Zhong . Entropy Production,Collision Number and the Forming Process of Hot Nucleus. Chinese Physics C, 1992, 16(5): 468-474.
[9]	GAN Zai-Guo , HUANG Ye-Cheng . A Mass Formula with a Few Free Parameters and Nuclear Mass Calculations. Chinese Physics C, 1992, 16(2): 172-177.
[10]	MENG Jie , YIN Chuan-Zong , LIN Xin-Wei . A Simple Formula for Backbending. Chinese Physics C, 1991, 15(12): 1109-1114.
[11]	LU Hai-Tao , Diao Hao , ZHANG Mao-Lin . A SYNTHESIS LEVEL DENSITY FORMULA. Chinese Physics C, 1988, 12(3): 396-403.
[12]	YU Yue . SUPERSYMMETRY AND GAUSS-BONNET-CHERN THEOREM. Chinese Physics C, 1988, 12(1): 28-33.
[13]	LI Zi-Ping . THE GENERALIZED NOETHER'S IDENTITIES AND CONSERVED CHARGE. Chinese Physics C, 1988, 12(6): 782-785.
[14]	DAI An-Ying . LEVINSON'S THEOREM FOR KLEIN-GORDON EQUATIONS WITH POTENTIAL TAILS. Chinese Physics C, 1987, 11(5): 620-628.
[15]	SU RU-KENG , LIANG JUN . AN EXTENSION OF MARTIN-GROSSE THEOREM ON THE ORDER OF LEVELS. Chinese Physics C, 1981, 5(6): 694-698.
[16]	ZENG JIN-YAN , LIN CHUN-ZHENG , YANG FU-JIA . A CHECK ON INDIVIDUAL TERMS OF THE NUCLEAR MASS FORMULA. Chinese Physics C, 1981, 5(2): 232-243.
[17]	Zheng Jin-yan , Cheng Tan-sheng , Yang Fu-jia . FURTHER STUDY ON NUCLEAR MASS FORMULA. Chinese Physics C, 1980, 4(5): 632-639.
[18]	Wu Jing-yuan , Ju Chang-sheng . A NEW LOOK AT MASSLESS BOSON FIELDS,SPONTANEOUSLY BROKEN SYMMETRY AND GOLDSTONE THEOREM. Chinese Physics C, 1980, 4(2): 191-202.
[19]	Ni Guang-jiong . THE LEVINSON THEOREM AND ITS GENERALIZATION IN RELATIVISTIC QUANTUM MECHANICS. Chinese Physics C, 1979, 3(4): 432-449.
[20]	GAO CHUNG-SHOU . SOME CONJECTURES ON THE MASS FORMULA OF CHARGED LEPTONS. Chinese Physics C, 1979, 3(4): 518-522.

Access

Get Citation

HUANG Chao-Guang, GUO Han-Ying and WU Xiao-Ning. Noether Theorem and Black Hole's Mass Formula and Entropy[J]. Chinese Physics C, 2003, 27(10): 879-883.

HUANG Chao-Guang, GUO Han-Ying and WU Xiao-Ning. Noether Theorem and Black Hole's Mass Formula and Entropy[J]. Chinese Physics C, 2003, 27(10): 879-883. shu

RIS(for EndNote,Reference Manager,ProCite)

BibTex

Txt

Milestone

Received: 2003-03-19
Revised: 1900-01-01

Article Metric

Article Views(4278)
PDF Downloads(586)
Cited by(0)

Policy on re-use

To reuse of subscription content published by CPC, the users need to request permission from CPC, unless the content was published under an Open Access license which automatically permits that type of reuse.

通讯作者: 陈斌, [email protected]

1.
沈阳化工大学材料科学与工程学院沈阳 110142

Noether Theorem and Black Hole's Mass Formula and Entropy

Corresponding author: HUANG Chao-Guang,

Institute of High Energy Physics,CAS,Beijing 100039,China2 Institute of Theoretical Physics,CAS,Beijing 100080,China3 Max-Plank-Insitut filr Gravitationsphysik,14476,Golm,Germany

Received Date: 2003-03-19
Accepted Date: 1900-01-01
Available Online: 2003-10-05

Abstract: The Noether charge formalism on the covariant phase space is used and developed. For a stationary axisym-metric black hole in vacuum general relativity, the mass formula is the vanishing Noether charge with respect to the Killing vector field an entire Cauchy surface. Its differential form gives the first law of black hole mechanics . For a large class of vector fields, the central term of the reduced algebra near the horizon is proved to be zero by use of the null tetrad formalism. It implies that the microscopic interpretation of the black hole entropy based on the symmetry analysis proposed by Carlip is debatable.