Testing modified gravity via Yukawa potential in two body problem: Analytical solution and observational constraints
David Benisty
Abstract
Many alternative theories of gravity screen a Yukawa-type potential. This article shows Keplerian-type parametrization for the solution of Yukawa type potential accurate equations of motion for two nonspinning compact objects moving in an eccentric orbit, using the mean anomaly. From the analytical solution some of the post-Keplerian parameters are derived. Consequently, a bound from the Solar System is presented.
Topics & Concepts
Yukawa potentialObservational studyPhysicsClassical mechanicsMathematicsStatisticsQuantum mechanicsCosmology and Gravitation TheoriesPulsars and Gravitational Waves ResearchBlack Holes and Theoretical Physics