GENERAL CONVERSATION LAWS IN EINSTEIN-CARTAN THEORY

DUAN YI-SHI; LIU JI -CHENG; DONG XUE-GENG

doi:10.7498/aps.36.760

Abstract
Using Noether's theorem, the conversation laws for general Lagrangian in Einstein-Cartan theory are derived. The general covariant energy-momentum conversation law for general Lagrangian including torsion is obtained from general displacement transformation xμ＇=xμ+edμba. It is shown that in our general case the superpotential must be existed. This result is the natural extension of the theory in references [1] , [2].
Authors and contacts
DUAN YI-SHI,

LIU JI -CHENG,

DONG XUE-GENG

1.
兰州大学物理系
References

Cited By

[1]	Tan Xia, Yang Shu-Zheng. Tunneling radiation of bosons from the Kerr-Sen-like black hole by Einstein-Bumblebee gravitational theory. Acta Physica Sinica, 2024, 73(4): 040401. doi: 10.7498/aps.73.20231463
[2]	Yan Xiao-Yong. Exploring the roots of social gravity law. Acta Physica Sinica, 2020, 69(8): 088903. doi: 10.7498/aps.69.20191686
[3]	Yuan Qing-Yun, Sun Yong-Wei, Zhang Xi-Jun. A three-dimensional simplified simulation model based on charge conservation law for internal charging in spacecraft. Acta Physica Sinica, 2019, 68(19): 195201. doi: 10.7498/aps.68.20190631
[4]	Sun Yan-Yan, Han Lu, Shi Xiao-Yu, Wang Zhao-Na, Liu Da-He. General laws of reflection and refraction for metasurface with phase discontinuity. Acta Physica Sinica, 2013, 62(10): 104201. doi: 10.7498/aps.62.104201
[5]	Lou Tai-Ping. A covariant gravitational field equation including the contribution of gravitational field. Acta Physica Sinica, 2006, 55(4): 1602-1606. doi: 10.7498/aps.55.1602
[6]	Zheng Shi-Wang, Qiao Yong-Fen. Integrating factors and conservation theorems of Lagrange’s equations for generalized nonconservative systems in terms of quasi-coordinates. Acta Physica Sinica, 2006, 55(7): 3241-3245. doi: 10.7498/aps.55.3241
[7]	Yan Jun, Tao Bi-You. A five-dimensional cosmic branes solution in Einstein-Maxwell-dilaton gravity model. Acta Physica Sinica, 2004, 53(9): 2843-2845. doi: 10.7498/aps.53.2843
[8]	Zhang Yi. A conservation theorem of Hojman for systems of generalized classical mechanics. Acta Physica Sinica, 2003, 52(8): 1832-1836. doi: 10.7498/aps.52.1832
[9]	YU SHOU-MIAN, YU TIAN. COVARIANT FORM OF SOMMERFELD'S FORMULA FOR SPHERICAL WAVE AND APPLICATION IN FIBER OPTICS. Acta Physica Sinica, 2001, 50(6): 1097-1102. doi: 10.7498/aps.50.1097
[10]	HUANG CHUN-JIA, LI JIANG-FAN, HE HUI-YONG. THE CONSERVATION LAW IN THE DOUBLE-WAVE QUANTUM THEORY. Acta Physica Sinica, 2000, 49(5): 819-824. doi: 10.7498/aps.49.819
[11]	Duan Yi-Shi, Feng Shi-Xiang. . Acta Physica Sinica, 1995, 44(9): 1373-1381. doi: 10.7498/aps.44.1373
[12]	FENG SHI-XIANG, LI XI-GUO, HUANG YONG-CHANG. A DISCUSSION ABOUT "A COMMENT ON ′GENERAL CONSERVATION LAWS IN EINSTEIN-CARTAN THEORY′". Acta Physica Sinica, 1994, 43(8): 1226-1227. doi: 10.7498/aps.43.1226
[13]	LI CHENG-YAO. A COMMENT ON "GENERAL CONSERVATION LAWS IN EINSTEIN-CARTAN THEORY". Acta Physica Sinica, 1993, 42(2): 193-197. doi: 10.7498/aps.42.193
[14]	ZHU SHI-TONG, SHEN WEN-DA, DENG XI-MING, WANG ZHI-JIANG. A GENERAL COVARIANT DERIVATION OF ELECTRON ENERGY GAIN IN A LASER ACCELERATOR. Acta Physica Sinica, 1989, 38(4): 559-566. doi: 10.7498/aps.38.559
[15]	XUE SHE-SHENG, XIAN DING-CHANG. THE CASIMIR EFFECT IN A GAUGE COVARIANT FIELD THEORY. Acta Physica Sinica, 1985, 34(8): 1084-1087. doi: 10.7498/aps.34.1084
[16]	YAN MU-LIN, GUO HAN-YING. THE QUANTUM GRAVITY WITH TORSION AND GHOST-FREE DE SITTER GRAVITY (Ⅰ)——GRAVITATIONAL FIELD WITH HOESION UNDER LINEAR COVARIANT GAUGE CONDITION. Acta Physica Sinica, 1984, 33(10): 1377-1385. doi: 10.7498/aps.33.1377
[17]	Wu Ke, Guo Han-ying. THE PROBLEM OF MOTION IN THE KALUZA THEORY. Acta Physica Sinica, 1982, 31(10): 1443-1448. doi: 10.7498/aps.31.1443
[18]	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
[19]	ZHU SI-CHANG. GRAVITATIONAL MASS DEFECT AND ROTATIONAL MASS EFFECT FOR A ROTARY SOLID SPHERE IN GENERAL THEORY OF RELATIVITY. Acta Physica Sinica, 1979, 28(6): 894-900. doi: 10.7498/aps.28.894
[20]	. ЗАКОН СОХРАНЕНИЯ ЭНЕРГИИ-ИМПУЛЬСА В ОБЩЕЙ ТЕОРИИ ОТНОСИТЕЛЬНОСТИ. Acta Physica Sinica, 1963, 19(11): 689-704. doi: 10.7498/aps.19.689

Catalog

Vol. 36, Issue 6 - 1987-03-20

Metrics

Abstract views: 7525
PDF Downloads: 656
Cited By: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

Search

Article

留言板

GENERAL CONVERSATION LAWS IN EINSTEIN-CARTAN THEORY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Authors

Referees

About Journal

About

Search

Article

留言板

GENERAL CONVERSATION LAWS IN EINSTEIN-CARTAN THEORY

Abstract

Authors and contacts

References

Cited By

Catalog

Metrics

Publishing process

Authors

Referees

About Journal

About