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Influence of bulk mass distribution on orbital precession of S2 star in Yukawa gravity

  • Regular Article - Nonlinear Dynamics
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Abstract

In this study we investigate possible applications of observed S2 orbit around Galactic Center for constraining the Yukawa gravity at scales in the range between several tens and several thousands astronomical units (AU) to obtain graviton mass constraints. In our model we suppose that bulk distribution of matter (includes stellar cluster, interstellar gas distribution and dark matter) exists near Supermassive Black Hole (SMBH) in our Galactic Center. We obtain the values of orbital precession angle for different values of mass density of matter, and we require that the value of orbital precession is the same like in general relativity (GR). From that request we determine gravity parameter \(\lambda \) and the upper value for graviton mass. We found that in the cases where the density of extended mass is higher, the maximum allowed value for parameter \(\lambda \) is smaller and the upper limit for graviton mass is higher. It is due to the fact that the extended mass causes the retrograde orbital precession. We believe that this study is a very efficient tool to evaluate a gravitational potential at the Galactic Center, parameter \(\lambda \) of the Yukawa gravity model, and to constrain the graviton mass.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: All relevant data are in the paper.]

Notes

  1. The remarkable studies got the high recognition in scientific community and Reinhard Genzel (VLT) and Andrea Ghez (Keck) were awarded the Nobel prize in physics in 2020.

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Acknowledgements

This work is supported by Ministry of Education, Science and Technological Development of the Republic of Serbia. P.J. wishes to acknowledge the support by this Ministry through the project contract No. 451-03-9/2021-14/200002.

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Authors and Affiliations

  1. Astronomical Observatory, Volgina 7, P.O. Box 74, 11060, Belgrade, Serbia

    Predrag Jovanović

  2. Department of Theoretical Physics and Condensed Matter Physics (020), Vinča Institute of Nuclear Sciences - National Institute of the Republic of Serbia, University of Belgrade, P.O. Box 522, 11001, Belgrade, Serbia

    Duško Borka & Vesna Borka Jovanović

  3. Institute of Theoretical and Experimental Physics, Moscow, Russia, 117259

    Alexander F. Zakharov

  4. Bogoliubov Laboratory for Theoretical Physics, JINR, Dubna, Russia, 141980

    Alexander F. Zakharov

  5. National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), Moscow, Russia, 115409

    Alexander F. Zakharov

Authors
  1. Predrag Jovanović
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  2. Duško Borka
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  3. Vesna Borka Jovanović
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  4. Alexander F. Zakharov
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Contributions

All coauthors participated in calculation and discussion of obtained results. The authors contributed equally to this work.

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Correspondence to Predrag Jovanović.

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Jovanović, P., Borka, D., Borka Jovanović, V. et al. Influence of bulk mass distribution on orbital precession of S2 star in Yukawa gravity. Eur. Phys. J. D 75, 145 (2021). https://doi.org/10.1140/epjd/s10053-021-00154-z

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  • DOI: https://doi.org/10.1140/epjd/s10053-021-00154-z

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