THE CONFORMALLY SPHERICALLY (PLANE-) SYMMETRIC ELECTRO-VACUUM SOLUTION TO EINSTEIN EQUAT10NS

doi:10.7498/aps.38.1384

Abstract
In this paper, we generalize two theorems in General Relativity. The symmetry in the conditions for the theorems is relaxed to conformal symmetry. The generalized theorems read as follows: 1. Any conformally spherically symmetric electro-vacuum solution to Einstein equations must be the Reissner-Nordstrom solution. 2. Any conformally plane-symmetric electro-vacuum solution to Einstein equations must be the Kar solution.
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[2]	Bian Bao-Min, Lai Xiao-Ming, Yang Ling, Li Zhen-Hua, He An-Zhi. Variable space scale factor spherical coordinates and time-space metric. Acta Physica Sinica, 2012, 61(8): 080401. doi: 10.7498/aps.61.080401
[3]	Hu Ya-Peng, Zhang Jing-Yi, Zhao Zheng. Further discussions on the Hawking radiation of charged particles via tunneling from the Reissner-Norstrom black hole. Acta Physica Sinica, 2007, 56(2): 683-685. doi: 10.7498/aps.56.683
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[7]	CHEN GUANG. CONFORMAL FLAT SPACE-TIME SOLUTIONS IN ELECTROMAGNETIC AND SCALAR THEORY. Acta Physica Sinica, 1999, 48(6): 992-994. doi: 10.7498/aps.48.992
[8]	ZHAO REN, LIU LIAO. THE REACTION TO THE SCHWARZSCHILD SPACE-TIME BY THE HAWKING EVAPORATION. Acta Physica Sinica, 1998, 47(12): 2074-2078. doi: 10.7498/aps.47.2074
[9]	ZHANG JING-YI. A CONFORMALLY FLAT SOLUTION OF EINSTEIN MAXWELL EQUATIONS FOR A STATIONARY SPHERICALLY SYMMETRIC DISTRIBUTION OF SPHERE POSSESSING BOTH ELECTRIC AND MAGNETIC CHARGES. Acta Physica Sinica, 1997, 46(12): 2294-2299. doi: 10.7498/aps.46.2294
[10]	QIANG WEN-CHAO. ALGEBRAIC PROPERTIES OF THE SEMI-PLANE-SYMMETRIC STATIC SPACE-TIME YIELDED BY SEMI-PLANE-SYMMETRIC NON-NULL ELECTROMAGNETIC FIELDS. Acta Physica Sinica, 1993, 42(4): 528-535. doi: 10.7498/aps.42.528
[11]	HUANG CHAO-GUANG. RENORMALISED STRESS-ENERGY TENSOR OF CONFORMAL SCALAR FIELD IN BOULWARE STATE IN REISSNER-NORDSTR?M SPACE-TIME. Acta Physica Sinica, 1993, 42(2): 198-204. doi: 10.7498/aps.42.198
[12]	LI JIAN-ZENG, LIANG CAN-BIN. A FAMILY OF SEMI-PLANE-SYMMETRIC ELECTROVACUUM SPACETIMES. Acta Physica Sinica, 1990, 39(2): 169-176. doi: 10.7498/aps.39.169
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[14]	ZHU SHI-CHANG, ZHU SHI-TONG. GLOBALLY REGULAR SOLUTION OF CONFORMAL FLAT FOR A CHARGED SPHERE. Acta Physica Sinica, 1985, 34(2): 241-247. doi: 10.7498/aps.34.241
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[18]	ZHONG ZAI-ZHE. THE CONFORMASTAT FLAT SOLUTION AND THE NORMALITY OF THE ENERGY-MONENTUM PSEUDO-TENSOR OF GRAVITATIONAL FIELD IN THE THEORY OF GRAVITATION. Acta Physica Sinica, 1981, 30(1): 22-27. doi: 10.7498/aps.30.22
[19]	XU ZHONG-MIN, ZHU SHI-CHANG. GRAVITATIONAL MASS DEFECT IN REISSNER-NORDSTR?M METRIC (WITH CONSERVATION OF CHARGE). Acta Physica Sinica, 1980, 29(5): 667-672. doi: 10.7498/aps.29.667
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Vol. 38, Issue 8 - 1989-04-20

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THE CONFORMALLY SPHERICALLY (PLANE-) SYMMETRIC ELECTRO-VACUUM SOLUTION TO EINSTEIN EQUAT10NS

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THE CONFORMALLY SPHERICALLY (PLANE-) SYMMETRIC ELECTRO-VACUUM SOLUTION TO EINSTEIN EQUAT10NS

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