Model for Gravity at Cluster Scales in Randers-Finslerian Spacetime and the Convergence $κ$ of Bullet Cluster 1E0657-558

Details Model for Gravity at Cluster Scales in Randers-Finslerian Spacetime and the Convergence $κ$ of Bullet Cluster 1E0657-558 Model for Gravity at Cluster Scales in Randers-Finslerian Spacetime and the Convergence $κ$ of Bullet Cluster 1E0657-558

2011-10-18

arxiv.org/abs/1110.3893v3

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

14 pages, 5 figures, 1 appendix

Scientific paper

The data of the Bullet Cluster 1E0657-558 released on November 15, 2006 reveal that the strong and weak gravitational lensing convergence $\kappa$-map has an $8\sigma$ offset from the $\Sigma$-map. The observed $\Sigma$-map is a direct measurement of the surface mass density of the ICM gas. It accounts for 83% of the averaged mass-fraction of the system. This suggests a modified gravity theory at large distances different from Newton's inverse-square gravitational law. In this paper, as a cluster scale generalization of Grumiller's modified gravity model, we present a gravity model with a generalized linear Rindler potential in Randers-Finslerian spacetime. The galactic limit of the model is qualitatively consistent with the MOND and Grumiller's. It yields approximately the flatness of the rotational velocity profile at the radial distance of several kpcs and gives the velocity scales for spiral galaxies at which the curves become flattened. Plots of convergence $\kappa$ for a galaxy cluster show that the peak of the gravitational potential has chances to lie on the outskirts of the baryonic mass center. For proper parameter values, we obtain a reasonable isothermal temperature of the main cluster and simultaneously ameliorated the shape of the convergence $\kappa$ curve. The temperature given by the model is $T\simeq 13.1$ keV, slightly lower than the observational value $T=14.8_{-1.2}^{+1.7}$ keV.

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