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Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra

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Abstract

In this paper, the real, complex octonion algebra and their properties are defined. The electromagnetic and gravito-electromagnetic equations with monopoles in terms of S and \(\hbox {S}^{\prime }\) reference systems are presented in vector notations. Additionally, the duality transformations of gravito-electromagnetic situation for two reference systems are also represented. Besides, it is explained that Maxwell-like equations for gravito-electromagnetism are also invariant under Lorentz transformations. By introducing complex octonionic differential operator, a new generalized complex octonionic field term consisting of electromagnetic and gravito-electromagnetic components has been firstly suggested for Lorentz system. Afterwards, a complex octonionic source equation is obtained as in basic way, more compact and elegant notation. By defining a new complex octonionic general potential term, the field equation is attained once again. The components of complex octonionic field and wave equations are written in detailed for S and \(\hbox {S}^{\prime }\) reference systems.

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Authors and Affiliations

  1. Department of Physics, Science Faculty, Anadolu University, 26470 , Eskişehir, Turkey

    Murat Tanışlı & Süleyman Demir

  2. Department of Physics, Faculty of Art and Science, Dumlupınar University, 43100 , Kütahya, Turkey

    Mustafa Emre Kansu

Authors
  1. Murat Tanışlı
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  2. Mustafa Emre Kansu
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  3. Süleyman Demir
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Correspondence to Mustafa Emre Kansu.

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Tanışlı, M., Kansu, M.E. & Demir, S. Reformulation of electromagnetic and gravito-electromagnetic equations for Lorentz system with octonion algebra. Gen Relativ Gravit 46, 1739 (2014). https://doi.org/10.1007/s10714-014-1739-6

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