Generalized particle dynamics: modifying the motion of particles and branes

TL;DR

This paper introduces a generalized particle dynamics framework in symmetric space-times, allowing for dynamical effective mass and potential implications for dark energy modeling in cosmology.

Contribution

It develops a new formalism for particle motion in symmetric space-times with dynamical mass, potentially explaining cosmic acceleration.

Findings

Effective negative pressure generated on cosmological surfaces

Potential to serve as a dark energy source

Application to test particles in spherically symmetric metrics

Abstract

We construct a generalized dynamics for particles moving in a symmetric space-time, i.e. a space-time admitting one or more Killing vectors. The generalization implies that the effective mass of particles becomes dynamical. We apply this generalized dynamics to the motion of test particles in a static, spherically symmetric metric. A significant consequence of the new framework is to generate an effective negative pressure on a cosmological surface whose expansion is manifest by the particle trajectory via embedding geometry \cite{bwg,embed2,embed,pal}. This formalism thus may give rise to a source for dark energy in modeling the late accelerating universe.