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On non-commutative correction of the Gödel-type metric

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Abstract

In this paper, we will study non-commutative corrections in the metric tensor for the Gödel-type universe, a model that has as its main characteristic the possibility of violation of causality, allowing therefore time travel. We also find that the critical radius in such a model, which eventually will determine the time travel possibility, is modified due to the non commutativity of spatial coordinates.

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Acknowledgments

This work was partially supported by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq) and Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES). A. F. S. has been suported by the CNPq Project 476166/2013-6.

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

    A. F. Santos

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

    R. G. G. Amorim

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

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Ulhoa, S.C., Santos, A.F. & Amorim, R.G.G. On non-commutative correction of the Gödel-type metric. Gen Relativ Gravit 47, 99 (2015). https://doi.org/10.1007/s10714-015-1944-y

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  • DOI: https://doi.org/10.1007/s10714-015-1944-y

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