Derivation of Einstein-Cartan theory from general relativity

被引:2
|
作者
Petti, Richard James [1 ]
机构
[1] 146 Gray St, Arlington, MA 02476 USA
关键词
General relativity; Einstein-Cartan theory; affine torsion; spin; angular momentum; SPACETIME; TORSION;
D O I
10.1142/S0219887821500833
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
This paper derives the elements of classical Einstein-Cartan theory (EC) from classical general relativity (GR) in two ways. (I) Derive discrete versions of torsion (translational holonomy) and the spin-torsion field equation of EC from one Kerr solution in GR. (II) Derive the field equations of EC as the continuum limit of a distribution of many Kerr masses in classical GR. The convergence computations employ "epsilon-delta" arguments, and are not as rigorous as convergence in Sobolev norm. Inequality constraints needed for convergence restrict the limits from continuing to an infinitesimal length scale. EC enables modeling exchange of intrinsic and orbital angular momentum, which GR cannot do. Derivation of EC from GR strengthens the case for EC and for new physics derived from EC.
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页数:54
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