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arXiv · 2210.16130

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

Yiming Dong·Lijing Shao·Zexin Hu·Xueli Miao·Ziming Wang
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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), $\sigma_{\rm TOA}=100\,\mu{\rm s}$, 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 $10^{1}$-$10^{4}\,{\rm AU}$, and it can limit the graviton mass to be $m_g \lesssim 10^{-24}\,{\rm eV}/c^2$.

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Yiming Dong, Lijing Shao, Zexin Hu, Xueli Miao, Ziming Wang. 2022-10-28. Prospects for Constraining the Yukawa Gravity with Pulsars around Sagittarius A*. https://doi.org/10.1088/1475-7516%2F2022%2F11%2F051

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