The Bazanski Approach in Brane Worlds: A Brief Introduction

TL;DR

This paper introduces the Bazanski approach to derive equations of motion for particles and objects in brane-world models, comparing these with space-time-matter theory, and discusses their transition to four-dimensional physics.

Contribution

It presents a modified Bazanski Lagrangian for brane-world scenarios and compares resulting equations with those in space-time-matter theory, highlighting their differences and similarities.

Findings

Derived equations for test particles, rotating, and charged objects in brane-worlds.

Compared brane-world equations with space-time-matter theory analogs.

Discussed the transition of equations to four-dimensional space-time.

Abstract

Paths of test particles, rotating and charged objects in brane-worlds using a modified Bazanski Lagrangian are derived. We also discuss the transition to their corresponding equations in four dimensions. We then make a comparison between the given equations in brane-worlds (BW) and their analog in space-time-matter (STM) theory.