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On non-commutative geodesic motion

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Abstract

In this work we study the geodesic motion on a noncommutative space–time. As a result we find a non-commutative geodesic equation and then we derive corrections of the deviation angle per revolution in terms of the non-commutative parameter when we specify the problem of Mercury’s perihelion. In this way, we estimate the noncommutative parameter based in experimental data.

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Authors and Affiliations

  1. Instituto de Física, Universidade de Brasília, Brasília, DF, 70910-900, Brazil

    S. C. Ulhoa & R. G. G. Amorim

  2. Faculdade Gama, Universidade de Brasília, Setor Leste (Gama), Brasília, DF, 72444-240, Brazil

    S. C. Ulhoa & R. G. G. Amorim

  3. Instituto de Física, Universidade Federal de Mato Grosso, Cuiabá, MT, 78060-900, Brazil

    A. F. Santos

Authors
  1. S. C. Ulhoa
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  2. R. G. G. Amorim
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  3. A. F. Santos
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Correspondence to S. C. Ulhoa.

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Ulhoa, S.C., Amorim, R.G.G. & Santos, A.F. On non-commutative geodesic motion. Gen Relativ Gravit 46, 1760 (2014). https://doi.org/10.1007/s10714-014-1760-9

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  • DOI: https://doi.org/10.1007/s10714-014-1760-9

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