Classical Trajectories in Rindler Space and Restricted Structure of Phase Space

TL;DR

This paper investigates classical phase space trajectories in Rindler space, revealing that particles occupy only a limited region of phase space which expands with stronger gravitational fields, highlighting the effects of gravity on phase space structure.

Contribution

It demonstrates the restricted nature of accessible phase space in Rindler space and analyzes how gravitational strength influences forbidden regions.

Findings

Major part of phase space is forbidden for particles in Rindler space

Forbidden region volume increases with gravitational field strength

Physical implications of phase space squeezing in strong gravity are discussed

Abstract

The nature of single particle classical phase space trajectories in Rindler space have been studied. It has been shown that only a small portion of the phase space is accessible to the particles, whereas the major part of the phase space region is completely forbidden. It has also been noticed that the area / volume of the forbidden region of phase space increases with the increase in the strength of gravitational field. The physical significance of such squeezing of phase space in strong gravitational field has been discussed.