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Affine Metrics and Algebroid Structures: Application to General Relativity and Unification

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Abstract

Affine metrics and their associated algebroid bundle are developed. These structures are applied to the general relativity and provide a mathematical structure for unification of gravity and electromagnetism. The final result is a field equation on the associated algebroid bundle that is similar to Einstein field equation but contains Einstein field equation and Maxwell equations simultaneously and contains a new equation that may have new results.

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Authors and Affiliations

  1. Dep. of Math Sciences and Computer, Kharazmi University, Karaj, Iran

    Naiereh Elyasi

  2. Dep. of Math. & Comp., Amirkabir University of Technology, Tehran, Iran

    Naser Boroojerdian

Authors
  1. Naiereh Elyasi
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  2. Naser Boroojerdian
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Correspondence to Naiereh Elyasi.

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Elyasi, N., Boroojerdian, N. Affine Metrics and Algebroid Structures: Application to General Relativity and Unification. Int J Theor Phys 51, 3160–3167 (2012). https://doi.org/10.1007/s10773-012-1197-4

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  • DOI: https://doi.org/10.1007/s10773-012-1197-4

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