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Title: Gravitating Hopfions

Abstract

We construct solutions of the 3 + 1 dimensional Faddeev–Skyrme model coupled to Einstein gravity. The solutions are static and asymptotically flat. They are characterized by a topological Hopf number. We investigate the dependence of the ADM masses of gravitating Hopfions on the gravitational coupling. When gravity is coupled to flat space solutions, a branch of gravitating Hopfion solutions arises and merges at a maximal value of the coupling constant with a second branch of solutions. This upper branch has no flat space limit. Instead, in the limit of a vanishing coupling constant, it connects to either the Bartnik–McKinnon or a generalized Bartnik–McKinnon solution. We further find that in the strong-coupling limit, there is no difference between the gravitating solitons of the Skyrme model and the Faddeev–Skyrme model.

Authors:
 [1]
  1. Joint Institute for Nuclear Research (Russian Federation)
Publication Date:
OSTI Identifier:
22471943
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 121; Journal Issue: 6; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; COUPLING CONSTANTS; GRAVITATION; MASS; MATHEMATICAL SOLUTIONS; SKYRME POTENTIAL; SOLITONS; SPACE; STRONG-COUPLING MODEL; TOPOLOGY

Citation Formats

Shnir, Ya. M., E-mail: shnir@theor.jinr.ru. Gravitating Hopfions. United States: N. p., 2015. Web. doi:10.1134/S1063776115120080.
Shnir, Ya. M., E-mail: shnir@theor.jinr.ru. Gravitating Hopfions. United States. doi:10.1134/S1063776115120080.
Shnir, Ya. M., E-mail: shnir@theor.jinr.ru. Tue . "Gravitating Hopfions". United States. doi:10.1134/S1063776115120080.
@article{osti_22471943,
title = {Gravitating Hopfions},
author = {Shnir, Ya. M., E-mail: shnir@theor.jinr.ru},
abstractNote = {We construct solutions of the 3 + 1 dimensional Faddeev–Skyrme model coupled to Einstein gravity. The solutions are static and asymptotically flat. They are characterized by a topological Hopf number. We investigate the dependence of the ADM masses of gravitating Hopfions on the gravitational coupling. When gravity is coupled to flat space solutions, a branch of gravitating Hopfion solutions arises and merges at a maximal value of the coupling constant with a second branch of solutions. This upper branch has no flat space limit. Instead, in the limit of a vanishing coupling constant, it connects to either the Bartnik–McKinnon or a generalized Bartnik–McKinnon solution. We further find that in the strong-coupling limit, there is no difference between the gravitating solitons of the Skyrme model and the Faddeev–Skyrme model.},
doi = {10.1134/S1063776115120080},
journal = {Journal of Experimental and Theoretical Physics},
number = 6,
volume = 121,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2015},
month = {Tue Dec 15 00:00:00 EST 2015}
}