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Research of Gravitation in Flat Minkowski Space

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Abstract

In this paper it is introduced and studied an alternative theory of gravitation in flat Minkowski space. Using an antisymmetric tensor φ, which is analogous to the tensor of electromagnetic field, a non-linear connection is introduced. It is very convenient for studying the perihelion/periastron shift, deflection of the light rays near the Sun and the frame dragging together with geodetic precession i.e. effects where angles are involved. Although the corresponding results are obtained in rather different way, they are the same as in the General Relativity. The results about the barycenter of two bodies are also the same as in the General Relativity. Comparing the derived equations of motion for the n-body problem with the Einstein-Infeld-Hoffmann equations, it is found that they differ from the EIH equations by Lorentz invariant terms of order c −2.

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Authors and Affiliations

  1. Faculty of Natural Sci. and Math., Ss. Cyril and Methodius Univ., P.O. Box 162, 1000, Skopje, Macedonia

    Kostadin Trenčevski

  2. Faculty of Mech. Eng., Ss. Cyril and Methodius Univ., P.O. Box 464, 1000, Skopje, Macedonia

    Emilija G. Celakoska

  3. Univ. Politehnica of Bucharest, Splaiul Independentei 313, 060042, Bucharest, Romania

    Vladimir Balan

Authors
  1. Kostadin Trenčevski
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  2. Emilija G. Celakoska
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  3. Vladimir Balan
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Correspondence to Emilija G. Celakoska.

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Trenčevski, K., Celakoska, E.G. & Balan, V. Research of Gravitation in Flat Minkowski Space. Int J Theor Phys 50, 1–26 (2011). https://doi.org/10.1007/s10773-010-0488-x

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  • DOI: https://doi.org/10.1007/s10773-010-0488-x

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