Gravitating Isovector Solitons

TL;DR

This paper investigates how gravity influences isovector solitons by formulating a nonlinear model in curved spacetime, revealing significant effects in strong coupling regimes through numerical analysis of self-gravitating solutions.

Contribution

It introduces a formulation of the nonlinear isovector model in curved backgrounds and analyzes the impact of gravity on soliton structure across different coupling regimes.

Findings

Gravity significantly affects soliton solutions in strong coupling regimes

Masses of self-gravitating solitons depend on the coupling constant

Comparison shows gravity's effects are negligible in weak coupling, significant in strong coupling

Abstract

We formulate the nonlinear isovector model in a curved background, and calculate the spherically symmetric solutions for weak and strong coupling regimes. The usual belief that gravity does not have appreciable effects on the structure of solitons will be examined, in the framework of the calculated solutions, by comparing the flat-space and curved-space solutions. It turns out that in the strong coupling regime, gravity has essential effects on the solutions. Masses of the self-gravitating solitons are calculated numerically using the Tolman expression, and its behavior as a function of the coupling constant of the model is studied.