Planetoid strings : solutions and perturbations

TL;DR

This paper introduces the planetoid ansatz for solving string equations in curved backgrounds, constructs specific solutions in various spacetimes, performs semiclassical quantization, and analyzes small perturbations.

Contribution

It develops the planetoid ansatz for string solutions, provides explicit examples in complex backgrounds, and extends analysis to quantization and perturbations.

Findings

Derivation of Regge relations for planetoid strings

Explicit solutions in wormhole, Rindler, and black hole spacetimes

Framework for studying small perturbations around solutions

Abstract

A novel ansatz for solving the string equations of motion and constraints in generic curved backgrounds, namely the planetoid ansatz, was proposed recently by some authors. We construct several specific examples of planetoid strings in curved backgrounds which include Lorentzian wormholes, spherical Rindler spacetime and the 2+1 dimensional black hole. A semiclassical quantisation is performed and the Regge relations for the planetoids are obtained. The general equations for the study of small perturbations about these solutions are written down using the standard, manifestly covariant formalism. Applications to special cases such as those of planetoid strings in Minkowski and spherical Rindler spacetimes are also presented.