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Geometry of pseudo‐complex General Relativity
Author(s) -
Schäfer M.,
Hess P.O.,
Greiner W.
Publication year - 2014
Publication title -
astronomische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.394
H-Index - 63
eISSN - 1521-3994
pISSN - 0004-6337
DOI - 10.1002/asna.201412104
Subject(s) - complex geometry , complex space , theory of relativity , differential geometry , manifold (fluid mechanics) , general relativity , geometry , differential (mechanical device) , product (mathematics) , complex system , mathematics , computer science , algebra over a field , pure mathematics , physics , theoretical physics , artificial intelligence , engineering , mechanical engineering , affine transformation , thermodynamics
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 & Co. KGaA, Weinheim)