Geometry of pseudo‐complex General Relativity. Issue 6 (August 2014)

• Record Type: Journal Article
• Authors: Schäfer, M.; Hess, P.O.; Greiner, W.
• Is Part Of: Astronomische Nachrichten. Volume 335:Issue 6/7(2014)
• Page Start: 751
• Page End: 756
• Publication Date: 2014-08
• Subjects: Astronomy -- Periodicals; 520.5
• DOI: 10.1002/asna.201412104
• Languages: English
• ISSNs: 0004-6337

Abstract

<abstract abstract-type="main" xml:lang="en"> <title>Abstract</title> <p>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. (© 2014 WILEY‐VCH Verlag GmbH &amp; Co. KGaA, Weinheim)</p> </abstract>