Gravitational deflection of light in Rindler-type potential as a possible resolution to the observations of Bullet Cluster 1E0657-558

TL;DR

This paper investigates whether a modified gravity model based on Finsler geometry, specifically in Rindler-type potential, can explain the Bullet Cluster observations without dark matter.

Contribution

It introduces a Finsler spacetime approach to gravitational dynamics and demonstrates its potential to account for Bullet Cluster phenomena.

Findings

Finsler spacetime can produce gravitational deflection consistent with observations.

The model explains the separation of baryonic matter and gravitational center.

It offers an alternative to dark matter explanations for Bullet Cluster data.

Abstract

The surface density $\Sigma$-map and the convergence $\kappa$-map of Bullet Cluster 1E0657-558 show that the center of baryonic matters separates from the center of gravitational force, and the distribution of gravitational force do not possess spherical symmetry. This hints that a modified gravity with difference to Newtonian inverse-square law at large scale, and less symmetry is worth investigating. In this paper, we study the dynamics in Randers-Finsler spacetime. The Newtonian limit and gravitational deflection of light in a Rindler-type potential is focused in particular. It is shown that the convergence in Finsler spacetime could account for the observations of Bullet Cluster.