On the spherically symmetric Einstein-Yang-Mills-Higgs equations in Bondi coordinates (original) (raw)

2012

We revisit and generalize, to the Einstein-Yang-Mills-Higgs system, previous results of D. Christodoulou and D. Chae concerning global solutions for the Einstein-scalar field and the Einstein-Maxwell-Higgs equations. The novelty of the present work is twofold. For one thing the assumption on the self-interaction potential is improved. For another thing explanation is furnished why the solutions obtained here and those proved by Chae for the Einstein-Maxwell-Higgs decay more slowly than those established by Christodoulou in the case of self-gravitating scalar fields. Actually this latter phenomenon stems from the non-vanishing local charge in Einstein-Maxwell-Higgs and Einstein-Yang-Mills-Higgs models.

Soliton-like solutions of nonlinear scalar and electromagnetic field equations in gravitational theory

International Journal of Basic and Applied Sciences, 2022

In this work, exact analytical static spherical symmetric solutions to the nonlinear interacting electromagnetic and massless scalar fields equation have been determined taking into account the proper gravitational field of elementary particles. The obtained results prove that all solutions of the Einstein equation and those of the interacting fields are regular with localized energy density. All non-zero components of the 4-vector potential are solutions to the inverted Painlevé-Gambier XI equation. Moreover, the total energy of interacting fields is limited and the total charge of elementary particles is finite. These solutions obtained are soliton-like and can be used as a model to describe the internal structure of elementary particles.

Loading...

Loading Preview

Sorry, preview is currently unavailable. You can download the paper by clicking the button above.