Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints

TL;DR

This paper derives an analytical Keplerian-type solution for the two-body problem under Yukawa potential, providing a way to test modified gravity theories against observational data, including solar system constraints.

Contribution

It introduces an analytical solution for the two-body problem with Yukawa potential and applies it to observational constraints, advancing tests of modified gravity theories.

Findings

Derived Keplerian-type parametrization for Yukawa potential

Provided solar system bounds on Yukawa-type modifications

Enhanced methods for testing alternative gravity theories

Abstract

Many alternative theories of gravity screens a Yukawa-type potential. This article shows Keplerian-type parametrization as a solution of Yukawa type potential accurate equations of motion for two non-spinning compact objects moving in an eccentric orbit. A bound from the solar system is presented.