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We perform a detailed comparison of the dynamics of cosmic string loops obtained in cosmological field theory simulations with their expected motion according to the Nambu-Goto action. We demonstrate that these loops follow the trajectories…

The dynamical evolution of superconducting cosmic strings is much more complicated than that of simple Goto-Nambu strings. For this reason, there are only a few known analytical solutions and no numerical ones. The goal of this paper is to…

High Energy Physics - Phenomenology · Physics 2007-05-23 X. Martin , P. Peter

We study the self-similar motion of a string in a self-similar spacetime by introducing the concept of a self-similar string, which is defined as the world sheet to which a homothetic vector field is tangent. It is shown that in Nambu-Goto…

General Relativity and Quantum Cosmology · Physics 2016-09-15 Takahisa Igata , Tsuyoshi Houri , Tomohiro Harada

We examine a Nambu-Goto string trajectory in the neighbourhood of a cusp and determine the extrinsic curvature invariants. These are demonstrated to be finite, in contradiction with naive expectation. Thus the Nambu action is a valid…

High Energy Physics - Phenomenology · Physics 2007-05-23 Ruth Gregory

We study the collapse of a circular loop of cosmic string. The gravitational field of the string is treated using the weak field approximation. The gravitational radiation from the loop is evaluated numerically. The memtric of the loop near…

General Relativity and Quantum Cosmology · Physics 2009-10-22 David Garfinkle , G. Comer Duncan

We study the evolution of non-periodic cosmic string loops containing Y-junctions, such as may form during the evolution of a network of (p,q) cosmic superstrings. We set up and solve the Nambu-Goto equations of motion for a loop with…

High Energy Physics - Theory · Physics 2010-01-07 Neil Bevis , Edmund J. Copeland , Pierre-Yves Martin , Gustavo Niz , Alkistis Pourtsidou , Paul M. Saffin , D. A. Steer

We study the dynamics and evolution of Nambu-Goto strings in a warped spacetime, where the warp factor is a function of the internal coordinates giving rise to a `throat' region. The microscopic equations of motion for strings in this…

High Energy Physics - Theory · Physics 2008-11-26 A. Avgoustidis

The interaction between a Nambu-Goto string and a Kerr black hole gives one of the methods of energy extraction from a rotating black hole. Although the properties of such processes have been well studied for rigidly rotating strings,…

General Relativity and Quantum Cosmology · Physics 2026-04-23 Hirotaka Yoshino , Kousuke Tanaka

We consider strings with the Nambu action as extremal surfaces in a given space-time, thus, we ignore their back reaction. Especially, we look for strings sharing one symmetry with the underlying space-time. If this is a non-null symmetry,…

General Relativity and Quantum Cosmology · Physics 2007-05-23 H. -J. Schmidt , U. Semmelmann

The dynamics of a vortex string, which describes the Nambu-Goldtone modes of the spontaneous breakdown of the target space D=4, N=1 supersymmetry and internal $U(1)_R$ symmetry to the world sheet ISO(1,1) symmetry, is constructed by using…

High Energy Physics - Theory · Physics 2009-03-12 Lu-Xin Liu

We study the dynamics of Nambu-Goto cosmic string loops coupled to a massive Kalb-Ramond field. This coupling provides a framework for describing the interaction between the cosmic string and the gauge field. Within this setup, we compute…

High Energy Physics - Theory · Physics 2025-09-24 I. Yu. Rybak

An implicit, fully characteristic, numerical scheme for solving the field equations of a cosmic string coupled to gravity is described. The inclusion of null infinity as part of the numerical grid allows us to apply suitable boundary…

General Relativity and Quantum Cosmology · Physics 2009-10-31 U. Sperhake , K. R. P. Sjodin , J. A. Vickers

It has recently been realised that strings with time-dependent tensions exhibit interesting dynamics; in particular, when the tension decreases loops of string can grow and possibly percolate. We extend previous analytic studies of strings…

High Energy Physics - Theory · Physics 2026-01-09 Hubert Lau Sze Chun , Joseph Conlon

We construct and simulate the dynamics of gauged vortons - circular loops of cosmic string supported by the angular momentum of trapped charge and current and provide additional details on the fully stable vorton that we have previously…

High Energy Physics - Phenomenology · Physics 2022-04-20 R. A. Battye , S. J. Cotterill , J. A. Pearson

We develop a method for computing the linearized gravitational backreaction for Nambu-Goto strings using a fully covariant formalism. We work with equations of motion expressed in terms of a higher dimensional analog of the geodesic…

General Relativity and Quantum Cosmology · Physics 2019-04-24 David F. Chernoff , Éanna É. Flanagan , Barry Wardell

The existence of a scaling evolution for cosmic string loops in an expanding universe is demonstrated for the first time by means of numerical simulations. In contrast with what is usually assumed, this result does not rely on any…

Astrophysics · Physics 2009-11-13 Christophe Ringeval , Mairi Sakellariadou , Francois Bouchet

We study the perturbative dynamics of an infinite gravitating Nambu-Goto string within the general-relativistic perturbation framework. We develop the gauge invariant metric perturbation on a spacetime containing a self-gravitating straight…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Kouji Nakamura , Akihiro Ishibashi , Hideki Ishihara

We consider the metric perturbations around a stationary rotating Nambu-Goto string in Minkowski spacetime. By solving the linearized Einstein equations, we study the effects of azimuthal frame-dragging around the rotation axis and linear…

General Relativity and Quantum Cosmology · Physics 2009-11-06 Kouji Ogawa , Hideki Ishihara , Hiroshi Kozaki , Hiroyuki Nakano

Comparison of the oscillatory behavior of a gravitating infinite Nambu-Goto string and a test string is investigated using the general relativistic gauge invariant perturbation technique with two infinitesimal parameters on a flat spacetime…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Kouji Nakamura

We examine the leading order corrections to the Nambu effective action for the motion of a cosmic string, which appear at fourth order in the ratio of the width to radius of curvature of the string. We determine the numerical coefficients…

High Energy Physics - Phenomenology · Physics 2009-10-30 Malcolm Anderson , Filipe Bonjour , Ruth Gregory , John Stewart
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