Path and Path Deviation Equations for p-branes

TL;DR

This paper extends the derivation of path and deviation equations from particles to strings and branes using a modified Bazanski Lagrangian, incorporating charge and spin effects, and explores their higher-dimensional origins.

Contribution

It introduces a unified approach to derive path and deviation equations for various branes, extending the Bazanski Lagrangian framework to higher-dimensional objects and charges.

Findings

Derived path and deviation equations for p-branes.

Extended Bazanski Lagrangian to strings and branes.

Connected brane equations to Kaluza-Klein theory.

Abstract

Path and path deviation equations for neutral, charged, spinning and spinning charged test particles, using a modified Bazanski Lagrangian, are derived. We extend this approach to strings and branes. We show how the Bazanski Lagrangian for charged point particles and charged branes arises `a la Kaluza-Klein from the Bazanski Lagrangian in 5-dimensions.