Abstract
One could use trajectories of test particles to evaluate a gravitational potential. In particular, in the case of the Galactic Center one could use photon trajectories to analyze a shadow structure. Another way is to use bright stars near the Galactic Center to evaluate a gravitational potential and constrain parameters of a model for the Galactic Center. In particular, one could obtain constraints on parameters of black hole, stellar cluster and dark matter concentration. Earlier, we constrained parameters of Rn and a Yukawa potential from observational data for the S2 star trajectory. Now gravity theories with a massive graviton are a subject of intensive studies. People proposed different experimental ways to evaluate a graviton mass. Recently, the joint LIGO & VIRGO collaboration reported not only a discovery of gravitational waves and binary black holes, but the team claimed also that found a constraint on a graviton mass as 1.2 × 10−22 eV. We show that an analysis of the S2 star trajectory could constrain a graviton mass with a comparable accuracy and this constraint is consistent with LIGO’s one.
Highlights
In spite of a great success of a general relativity (GR) development in a more than a century we know only a few cases where we really need a strong gravitational field approximation to describe a physical reality
The joint LIGO & VIRGO collaboration reported a discovery of gravitational waves and binary black holes, but the team claimed that found a constraint on a graviton mass as 1.2 × 10−22 eV
We show that an analysis of the S2 star trajectory could constrain a graviton mass with a comparable accuracy and this constraint is consistent with LIGO’s one
Summary
In spite of a great success of a general relativity (GR) development in a more than a century we know only a few cases where we really need a strong gravitational field approximation to describe a physical reality. Another way is to use bright stars near the Galactic Center to evaluate a gravitational potential and constrain parameters of a model for the Galactic Center.
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