Method of N-body simulation on the MOdified Gravity

TL;DR

This paper refines the formulation of N-body simulations for the Scalar Tensor Vector Gravity (STVG) theory, enabling more accurate testing of its predictions against astrophysical phenomena.

Contribution

It provides a more precise formulation of N-body simulation methods specifically tailored for the MOG theory, improving upon previous approximate approaches.

Findings

Enhanced simulation accuracy for MOG gravitational interactions

Facilitates objective testing of MOG against astrophysical data

Supports future research on modified gravity models

Abstract

Scalar Tensor Vector Gravity(STVG) is one of a modified gravity theory developed by John Moffat(2005). MOG is abbreviated name for this theory.This theory is added a massive vector field to Brans-Dicke theory. It can explain a galactic rotary curve and the structure formation without dark matter. Without dark energy,acceleration universe too. However,these are claims by the developer and collaboraters.This theory was only inspected by simple approximate calculation. Therefore it needs more objective verifications.We will carried out verification from the viewpoint of N-body simulation. Such study is already accomplished by Brandao(2010).However, they did not precisely formulate N-body simulation on MOG. This paper shows formulation of the N-body simulation on MOG more precisely.