Estimation of xi parameter on the Moffat Gravity

TL;DR

This paper estimates the xi parameter in Moffat Gravity (MOG), a modified gravity theory, showing it should be less than 100 to explain galactic rotation curves without dark matter.

Contribution

It provides the first estimation of the xi parameter in MOG, linking it to observed galactic rotation curves and extending the theory's applicability.

Findings

xi should be less than O(10^2) for flat rotation curves

Supports MOG as an alternative to dark matter

Provides parameter bounds for MOG models

Abstract

Scalar Tensor Vector Gravity(STVG) is one of modified gravity theories developed by John Moffat(2005). MOG is abbreviated name for this theory.It can explain a galactic rotation curve and the structure formation without dark matter. It can also explain acceleration universe without dark energy.But,they obtaion only a spherically symmetric, static vacuum solution about MOG. On this theory,the gravitational field produced by two point sources is not simply the sum of their respective spherically symmetric static vacuum solutions. However,in arXiv:0805.4774, the method to adapt MOG to extended distribution of matter is described by phenomenalism. A new parameter "xi" is introduced in this phenomenalical description.This paper shows estimation of MOG's xi parameter. In conclusion,"xi" should be less than O(10^2) to reproduce "flat" rotation curves observed.