Geometry of pseudo-complex General Relativity

被引：5
|
作者：
Schaefer, M. [1 ]
Hess, P. O. [1 ,2 ]
Greiner, W. [1 ]
机构：
[1] Frankfurt Inst Adv Studies, D-60438 Frankfurt, Germany
[2] Univ Nacl Autonoma Mexico, Inst Ciencias Nucl, Mexico City 04510, DF, Mexico
来源：
ASTRONOMISCHE NACHRICHTEN | 2014年 / 335卷 / 6-7期
关键词：
general relativity; gravitation; TORSION;
D O I：
10.1002/asna.201412104
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
A first approach towards a geometric formulation of pseudo-complex General Relativity is presented. We review the mathematics of pseudo-complex numbers and functions and show how several concepts from real differential geometry can be generalized to the pseudo-complex case. It is shown that the main feature of such a pseudo-complex geometry is a product structure, which allows a separate treatment of all mathematical objects in two different sectors, respectively. In order to obtain a new theory, one needs new principles to connect both sectors and to define a real physical space-time embedded into the pseudo-complex manifold. (C) 2014 WILEY-VCH Verlag GmbH&Co.KGaA, Weinheim
引用
收藏
页码：751 / 756
页数：6
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