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

页码：751 / 756

页数：6

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