Abstract:
In the papers reporting about this discovery, the joint LIGO &
VIRGO team presented an upper limit on graviton mass such as $m_g < 1.2 \times 10^{-22} eV$ (Abbott et al. 2016). 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 bounds on a graviton mass.