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On gravitational Stefan-Boltzmann law and Casimir effect in FRW universe

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Abstract

Both Stefan-Boltzmann law and the Casimir effect, in a universe described by the FRW metric with zero curvature, are calculated. These effects are described by Thermo Field Dynamics (TFD). The gravitational energy-momentum tensor is defined in the context of Teleparallel Equivalent to General Relativity (TEGR). Each of the two effects gives a consistent prediction with what is observed on a cosmological scale. One of the effect establishes a minimum range for the deceleration parameter. While another leads to the conclusion that a possible cosmological constant has a very small order of magnitude.

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Acknowledgements

This work by A. F. S. is supported by CNPq projects 430194/2018-8 and 313400/2020-2.

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Authors and Affiliations

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

    A. F. Santos

  2. International Center of Physics, Instituto de Física, Universidade de Brasília, Brasília, DF, 70910-900, Brazil

    S. C. Ulhoa

  3. Canadian Quantum Research Center, 204-3002 32 Ave, Vernon, BC, V1T 2L7, Canada

    S. C. Ulhoa

  4. UDF Centro Universitário and Centro Universitário de Brasília UniCEUB, Brasília, DF, Brazil

    E. P. Spaniol

  5. Department of Physics and Astronomy, University of Victoria, 3800 Finnerty Road, Victoria, BC, Canada

    Faqir C. Khanna

  6. Physics Department, Theoretical Physics Institute, University of Alberta, Edmonton, AB, Canada

    Faqir C. Khanna

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  1. A. F. Santos
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  2. S. C. Ulhoa
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  3. E. P. Spaniol
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  4. Faqir C. Khanna
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Correspondence to A. F. Santos.

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Santos, A.F., Ulhoa, S.C., Spaniol, E.P. et al. On gravitational Stefan-Boltzmann law and Casimir effect in FRW universe. Gen Relativ Gravit 53, 54 (2021). https://doi.org/10.1007/s10714-021-02826-y

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  • DOI: https://doi.org/10.1007/s10714-021-02826-y

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