Effects of spin-torsion in gauge theory gravity

被引:14
作者
Doran, C [1 ]
Lasenby, A [1 ]
Challinor, A [1 ]
Gull, S [1 ]
机构
[1] Univ Cambridge, Cavendish Lab, Mullard Radio Astron Observ, Cambridge CB3 0HE, England
关键词
D O I
10.1063/1.532255
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The spin-torsion sector of a new gauge-theoretic formulation of gravity is analyzed and the relationship to the Einstein-Cartan-Kibble-Sciama theory of gravity is discussed. The symmetries of the Riemann tensor and the conservation laws of the theory are derived. This formalism is applied to the problem of a. Dirac field coupled self-consistently to gravity. The equations derived from a minimally coupled gauge-invariant Lagrangian naturally give the gauge-theoretic analogs of the Einstein-Cartan-Dirac equations. Finally, a semiclassical model for a spinning point-particle moving in a gravitational background with torsion is considered. (C) 1998 American Institute of Physics.
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收藏
页码:3303 / 3321
页数:19
相关论文
共 45 条
[1]   SELF-CONSISTENT SOLUTIONS OF THE SEMICLASSICAL EINSTEIN-DIRAC EQUATIONS WITH COSMOLOGICAL CONSTANT [J].
ALE, MG ;
CHIMENTO, LP .
CLASSICAL AND QUANTUM GRAVITY, 1995, 12 (01) :101-110
[2]   CLASSICAL SPINNING PARTICLES INTERACTING WITH EXTERNAL GRAVITATIONAL-FIELDS [J].
BARDUCCI, A ;
CASALBUONI, R ;
LUSANNA, L .
NUCLEAR PHYSICS B, 1977, 124 (04) :521-538
[3]   CLASSICAL-MODEL OF THE DIRAC ELECTRON [J].
BARUT, AO ;
ZANGHI, N .
PHYSICAL REVIEW LETTERS, 1984, 52 (23) :2009-2012
[4]  
BARUT AO, 1989, PHYS REP, V172, P3
[5]   On the current and the density of the electric charge, the energy, the linear momentum and the angular momentum of arbitrary fields [J].
Belinfante, FJ .
PHYSICA, 1940, 7 :449-474
[6]   On the spin angular momentum of mesons [J].
Belinfante, FJ .
PHYSICA, 1939, 6 :887-898
[7]  
Cartan E., 1922, CR HEBD ACAD SCI, V174, P593
[8]   Massive, non-ghost solutions for the Dirac field coupled self-consistently to gravity [J].
Challinor, A ;
Lasenby, A ;
Doran, C ;
Gull, S .
GENERAL RELATIVITY AND GRAVITATION, 1997, 29 (12) :1527-1544
[9]   GAUGE THEORY OF POINCARE SYMMETRY [J].
CHO, YM .
PHYSICAL REVIEW D, 1976, 14 (12) :3335-3340
[10]  
DEBEAUREGARD OC, 1963, PHYS REV, V129, P466