Prospects for Constraining the Yukawa Gravity with Pulsars around Sagittarius A*

Abstract

The discovery of radio pulsars (PSRs) around the supermassive black hole (SMBH) in our Galactic Center (GC), Sagittarius A* (Sgr A*), will have significant implications for tests of gravity. In this paper, we predict restrictions on the parameters of the Yukawa gravity by timing a pulsar around Sgr A* with a variety of orbital parameters. Based on a realistic timing accuracy of the times of arrival (TOAs), ${\sigma }_{\mathrm{TOA}}=100\mu \mathrm{s}$, and using a number of 960 TOAs in a 20-yr observation, our numerical simulations show that the PSR-SMBH system will improve current tests of the Yukawa gravity when the range of the Yukawa interaction varies between $10^1$-$10^4\mathrm{AU}$, and it can limit the graviton mass to be $m_g\lesssim 10^{-24}\mathrm{eV}/c^2$.

17 pages, 5 figures; accepted by JCAP

References in corpus (17)

• The Confrontation between General Relativity and Experiment
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Tests of general relativity from timing the double pulsar
• An Update on Monitoring Stellar Orbits in the Galactic Center
• Particle Physics Implications of a Recent Test of the Gravitational Inverse Square Law
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Strong-field Gravity Tests with the Double Pulsar
• General Relativity and Cosmology: Unsolved Questions and Future Directions
• Vainshtein Mechanism in Binary Pulsars
• Constraints on the range lambda of Yukawa-like modifications to the Newtonian inverse-square law of gravitation from Solar System planetary motions
• New Graviton Mass Bound from Binary Pulsars
• Constraint on the Yukawa suppression of the Newtonian potential from the planetary ephemeris INPOP19a
• Neutron stars as extreme laboratories for gravity tests
• Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints
• Bounding the mass of graviton in a dynamic regime with binary pulsars
• Modified Gravitational Theory as an Alternative to Dark Energy and Dark Matter
• Tests of conservation laws in post-Newtonian gravity with binary pulsars