http://arxiv.org/abs/1811.09378
We present new limits on the graviton mass using a sample of 12 relaxed galaxy clusters, for which temperature and gas density profiles were estimated by Vikhlinin et al (astro-ph/0507092) using Chandra X-ray observations. For this purpose, we first calculate the total mass from the hydrostatic equilibrium equation in a Yukawa potential and then determine the acceleration in such a potential. We then compare this with the corresponding acceleration computed using Newtonian gravity. These differences are quantified by a constructing $\chi^2$ residuals between the two profiles, which is used to bound the graviton mass. We calculate a 90 \% c.l. upper limit on the graviton mass for each of the 12 clusters in the sample. The best limit is obtained for Abell 2390, corresponding to $m_g<1.81 \times 10^{-29}$ eV or $\lambda_g > 6.83\times 10^{19}$ km.
S. Gupta and S. Desai
Mon, 26 Nov 18
8/100
Comments: 5 pages, 1 figure
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