Tension as a Perturbative Parameter in Non--Linear String Equations in Curved Space--Time

TL;DR

This paper develops a perturbation theory for non-linear string equations in curved space-time using tension as a small parameter, deriving linearized motion equations for successive approximation levels.

Contribution

It introduces a novel perturbative approach to analyze non-linear string dynamics in curved backgrounds based on tension expansion.

Findings

Derived linearized equations for string motion at multiple approximation levels

Provided a framework for perturbative analysis of non-linear string equations in curved space

Facilitated understanding of string behavior through successive approximations

Abstract

A perturbation theory with respect to tension parameter $\gamma/\alpha^\prime$ for the non--linear equations of string, moving in curved space--time is considered. Obtained are linearized motion equations for the functions of the $n-$th degree of approximation ($n=0,1,2$)