SPACE-TIME STRUCTURE AND SPINOR GEOMETRY

被引：0
|
作者：
Szekeres, George [2 ]
Peters, Lindsay [1 ]
机构：
[1] Pacific Knowledge Syst, Sydney, NSW 1430, Australia
[2] Univ New S Wales, Sch Math, Sydney, NSW 2052, Australia
来源：
ANZIAM JOURNAL | 2008年 / 50卷 / 02期
关键词：
space-time structure; spinor geometry; gravitational field; electromagnetic field;
D O I：
10.1017/S1446181109000108
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The structure of space-time is examined by extending the standard Lorentz connection group to its complex covering group, operating on a 16-dimensional "spinor" frame. A Hamiltonian variation principle is used to derive the field equations for the spinor connection. The result is a complete set of field equations which allow the sources of the gravitational and electromagnetic fields, and the intrinsic spin of a particle, to appear as a manifestation of the space-time structure. A cosmological solution and a simple particle solution are examined. Further extensions to the connection group are proposed.
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页码：143 / 176
页数：34
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