Parametrized post-Newtonian equations of motion of N mass monopoles with the SEP violation

2016/07/01 by S. A. Klioner, Klioner, Sergei A., Sergei A. Klioner
Computer Science · Engineering · Physics and Astronomy · #Computational Physics and Python Applications #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Particle accelerators and beam dynamics #Scientific Research and Discoveries #gr-qc

paper · pdf · doi:10.48550/arxiv.1607.00183

arxiv created 2016/07/01 · openalex publication_date 2016/07/01 · arxiv updated 2016/07/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Post-Newtonian equations of motion of a system of N mass monopoles in the framework of the PPN formalism with two parameters β and γ are derived for the case when the Strong Equivalence Principle can be violated. The derivation is based on the previously published general framework. The multipole moments of each body are defined as a PPN-generalization of the corresponding Blanchet-Damour multiple moments in a relevant local reference system defined for that body. The classical ten integrals of the derived equations of motion are given. A special version of the equations of motion, for which seven of these integrals are exact, is discussed. The derived equations of motion can be used to test the Strong Equivalence Principle in various solar system experiments.

Related

• Dynamics of the N-body system in energy-momentum squared gravity: Equations of motion to the first post-Newtonian order
• Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter
• Motion of the mass centers in a scalar theory of gravitation: the point particle limit
• New limits on the violation of the Strong Equivalence Principle in strong field regimes
• Equations of motion for compact binary systems in general relativity: Do they depend on the bodies' internal structure at the third post-Newtonian order?