Trajectories of bright stars at the Galactic Center as a tool to evaluate a graviton mass
1 Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
2 Bogoliubov Laboratory for Theoretical Physics, JINR, 141980 Dubna, Russia
3 National Research Nuclear University MEPhI (Moscow Engineering Physics Institute), 115409, Moscow, Russia
4 North Carolina Central University, Durham, NC 27707, USA
5 Astronomical Observatory, Volgina 7, 11060 Belgrade, Serbia
6 Atomic Physics Laboratory (040), Vinča Institute of Nuclear Sciences, University of Belgrade, P.O. Box 522, 11001 Belgrade, Serbia
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Published online: 28 October 2016
Scientists worked in Saint-Petersburg (Petrograd, Leningrad) played the extremely important role in creation of scientific school and development of general relativity in Russia. Very recently LIGO collaboration discovered gravitational waves  predicted 100 years ago by A. Einstein. In the papers reporting about this discovery, the joint LIGO & VIRGO team presented an upper limit on graviton mass such as mg < 1.2 × 10−22eV [1, 2]. The authors concluded that their observational data do not show violations of classical general relativity because the graviton mass limit is very small. We show that an analysis of bright star trajectories could bound graviton mass with a comparable accuracy with accuracies reached with gravitational wave interferometers and expected with forthcoming pulsar timing observations for gravitational wave detection. This analysis gives an opportunity to treat observations of bright stars near the Galactic Center as a tool for an evaluation specific parameters of the black hole and also to obtain constraints on the fundamental gravity law such as a modifications of Newton gravity law in a weak field approximation. In that way, based on a potential reconstruction at the Galactic Center we give a bounds on a graviton mass.
© The Authors, published by EDP Sciences, 2016
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