Abstract
In February 2016 the LIGO & VIRGO collaboration reported the discovery of gravitational waves in merging black holes, therefore, the team confirmed GR predictions about an existence of black holes and gravitational waves in the strong gravitational field limit. Moreover, in their papers the joint LIGO & VIRGO team presented an upper limit on graviton mass such as mg eV (Abbott et al. 2016). So, the authors concluded that their observational data do not show any violation of classical general relativity. We show that an analysis of bright star trajectories could constrain graviton mass with a comparable accuracy with accuracies reached with gravitational wave interferometers and the estimate is consistent with the one obtained by the LIGO & VIRGO collaboration. This analysis gives an opportunity to treat observations of bright stars near the Galactic Center as a useful tool to obtain constraints on the fundamental gravity law such as modifications of the Newton gravity law in a weak field approximation. In that way, based on a potential reconstruction at the Galactic Center we obtain bounds on a graviton mass.
Highlights
Centurial triumph of General RelativityGeneral relativity (GR) has been discovered in November 1915 in [1, 2] as it is well-known in the literature
In February 2016 the LIGO & VIRGO collaboration reported the discovery of gravitational waves in merging black holes, the team confirmed General RelativityGeneral relativity (GR) predictions about an existence of black holes and gravitational waves in the strong gravitational field limit
In their papers the joint LIGO & VIRGO team presented an upper limit on graviton mass such as mg < 1.2 × 10−22 eV (Abbott et al 2016)
Summary
General relativity (GR) has been discovered in November 1915 in [1, 2] as it is well-known in the literature (see, [3,4,5,6,7] for reference). Gravitational field is described by the following expression. Where Rμν is the Ricci tensor, gμν is the metric tensor, R is the scalar curvature, Tμν is the stress-energy tensor, G and c are the Newton constant and the speed of light, respectively
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