$N\geq 2$ Particles in the Framework of TeVeS

TL;DR

This paper investigates the dynamics of multiple particles within the relativistic TeVeS gravitational framework, which modifies gravity to explain galactic phenomena without dark matter.

Contribution

It extends the analysis of particle dynamics to systems with two or more particles in the TeVeS theory, a relativistic alternative to dark matter models.

Findings

Analysis of N-particle interactions in TeVeS

Insights into gravitational behavior without dark matter

Potential implications for galaxy rotation curves

Abstract

About 40 years ago, since no viable candidate for "dark matter" was discovered, M. Milgrom and J. Bekenstein introduced a non-covariant modfication of gravitational theory ((MOND) to account for the anomalpous rotation curves of galaxies. Bekenstein and Sanders then developed a relativistically covariant form of the theory, called TeVeS, involvimg scalar and tensor fields which accounts for the rotation currves as well asfor the observed lensing of background radiation around galaxies without the introduction of "dark matter". The dynamical behavior of a particle in such a gravitational theory has recently been discussed by Horwitz, Gershon and Schiffer. In this paper we study the dynamics of the $N \geq 2$ particle problem in the framework of the TeVeS theory.