Constraints on Rn gravity from precession of orbits of S2-like stars

D. Borka, P. Jovanović, V. Borka Jovanović, and A. F. Zakharov
Phys. Rev. D 85, 124004 – Published 4 June 2012

Abstract

We study some possible observational signatures of Rn gravity at Galactic scales and how these signatures could be used for constraining this type of f(R) gravity. For that purpose, we performed two-body simulations in the Rn gravity potential and analyzed the obtained trajectories of S2-like stars around the Galactic center, as well as the resulting parameter space of the Rn gravity potential. Here, we discuss the constraints on Rn gravity which can be obtained from the observations of orbits of S2-like stars with the present and next generations of large telescopes. We make comparisons between the theoretical results and observations. Our results show that the most probable value for the parameter rc in the Rn gravity potential in the case of S2-like stars is 100AU, while the universal parameter β is close to 0.01. Also, the gravity potential induces the precession of S2-like star orbits in the opposite direction with respect to general relativity; therefore, such a behavior of orbits is qualitatively similar to the behavior of Newtonian orbits with a bulk distribution of matter (including a stellar cluster and dark matter distributions).

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  • Received 1 February 2012

DOI:https://doi.org/10.1103/PhysRevD.85.124004

© 2012 American Physical Society

Authors & Affiliations

D. Borka1,*, P. Jovanović2, V. Borka Jovanović1, and A. F. Zakharov3,4

  • 1Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia
  • 2Astronomical Observatory, Volgina 7, 11060 Belgrade, Serbia
  • 3Institute of Theoretical and Experimental Physics, B. Cheremushkinskaya 25, 117259 Moscow, Russia
  • 4Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna, Russia

  • *dusborka@vinca.rs Corresponding author.

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Issue

Vol. 85, Iss. 12 — 15 June 2012

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