Prospects for constraining the Yukawa gravity with pulsars around Sagittarius A*
Yiming Dong, Lijing Shao, Zexin Hu, Xueli Miao, Ziming Wang
Abstract
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), σ TOA = 100 μ 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 AU, and it can limit the graviton mass to be m g ≲ 10 -24 eV/ c 2 .