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We describe and numerically test the velocity-dependent one-scale (VOS) string evolution model, a simple analytic approach describing a string network with the averaged correlation length and velocity. We show that it accurately reproduces…

High Energy Physics - Phenomenology · Physics 2009-11-10 C. J. A. P. Martins , J. N. Moore , E. P. S. Shellard

The concept of the quantized space-time of the formless finite fundamental elements is suggested. This space-time can be defined as a set of continual space-time coverings by simply connected non-overlapping regions of any form and…

High Energy Physics - Phenomenology · Physics 2007-05-23 Serge B. Afanas'ev

In this paper the equation of circular loops of cosmic string with periodic tension is investigated in the Minkowski spacetime and Robertson-Walker universe respectively. We find that the cosmic string loops possessing this kind of…

High Energy Physics - Theory · Physics 2015-06-05 Leilin Wang , Hongbo Cheng

Inflation of cosmic gauge and global strings is investigated by numerically solving the combined Einstein and field equations. Above some critical symmetry-breaking scales, the strings undergo inflation along the radial direction as well as…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Inyong Cho

We investigate the nature of ordinary cosmic vortices in some scalar-tensor extensions of gravity. We find solutions for which the dilaton field condenses inside the vortex core. These solutions can be interpreted as raising the degeneracy…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Patrick Peter , M. E. X. Guimaraes , V. C. de Andrade

We establish a method to trace the Lagrangian evolution of extended objects consisting of a multicomponent scalar field in terms of a numerical calculation of field equations in three dimensional Eulerian meshes. We apply our method to the…

High Energy Physics - Phenomenology · Physics 2009-11-07 Masahide Yamaguchi , Jun'ichi Yokoyama

Cosmic strings provide a radically different paradigm for the formation of structure to the prevailing inflationary one. They afford some extra technical complications: for example, the calculation of the power spectrum of matter and…

Astrophysics · Physics 2007-05-23 Mark Hindmarsh , Mairi Sakellariadou , Graham R. Vincent

The equation governing the time evolution of the number density of loops in a cosmic string network is a detailed balance determined by energy conservation. We solve this equation with the inclusion of the gravitational radiation effect…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Jorge V. Rocha

The perturbative modes propagating along an infinite string are investigated within the framework of the gauge invariant perturbation formalism on a spacetime containing a self-gravitating straight string with a finite thickness. These…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Kouji Nakamura , Hideki Ishihara

Cosmic strings may have formed in the early universe due to the Kibble mechanism. While string networks are usually modeled as being of Nambu-Goto type, this description is understood to be a convenient approximation, which neglects the…

Cosmology and Nongalactic Astrophysics · Physics 2021-09-01 A. R. R. Almeida , C. J. A. P. Martins

The evolution of cosmic string networks is an interesting dynamical problem. The equations governing these networks are classical and fully specified, but the length scale at which cosmic string loops form has been uncertain to tens of…

Astrophysics · Physics 2009-06-23 Joseph Polchinski

We derive an exact equation of motion for a non-relativistic vortex in two- and three-dimensional models with a complex field. The velocity is given in terms of gradients of the complex field at the vortex position. We discuss the problem…

High Energy Physics - Theory · Physics 2007-05-23 Elsebeth Schroder , Ola Tornkvist

We study the dynamics of a cosmic string loop captured by a rotating black hole, ignoring string reconnections. A loop is numerically evolved in Kerr spacetime, with the result that it turns into one or more growing or contracting…

General Relativity and Quantum Cosmology · Physics 2023-06-28 Heling Deng , Andrei Gruzinov , Yuri Levin , Alexander Vilenkin

Using recent simulation results, we provide the mass and speed spectrum of cosmic string loops. This is the quantity of primary interest for many phenomenological signatures of cosmic strings, and it can be accurately predicted using…

Cosmology and Nongalactic Astrophysics · Physics 2014-01-22 Jose J. Blanco-Pillado , Ken D. Olum , Benjamin Shlaer

The formation of vortex loops (global cosmic strings) in an O(2) linear sigma model in three spatial dimensions is analyzed numerically. For over-damped Langevin dynamics we find that defect production is suppressed by an interaction…

Statistical Mechanics · Physics 2009-11-07 Mark Bowick , Angelo Cacciuto , Alex Travesset

In the present paper we investigate classical dynamics of the Nambu-Goto string with the Gauss-Bonnet term in the action and point-like masses at the ends in the context of effective QCD string. The configurations of rigidly rotating string…

High Energy Physics - Theory · Physics 2009-10-30 Leszek Hadasz , Tomasz Rog

Cosmic strings represent an attractive source of gravitational waves (GWs) from the early Universe. However, numerical computation of the GW signal from cosmic strings requires the evaluation of complicated integral and sum expressions,…

Cosmology and Nongalactic Astrophysics · Physics 2026-02-18 Kai Schmitz , Tobias Schroeder

In this paper we study the motion of a rigidly rotating Nambu-Goto test string in a stationary axisymmetric background spacetime. As special examples we consider the rigid rotation of strings in flat spacetime, where explicit analytic…

High Energy Physics - Theory · Physics 2009-10-30 V. Frolov , S. Hendy , J. P. De Villiers

Classical and quantum solutions for the relativistic straight-line string with arbitrary dependence on the world surface curvature are obtained. They differ from the case of the usual Nambu-Goto interaction by the behaviour of the Regge…

High Energy Physics - Theory · Physics 2007-05-23 L. D. Soloviev

In this thesis we describe high-harmonic cosmic string loops in a general relativistic context, and study the implications of high-harmonic content for the predicted gravitational wave signal from cosmic string networks. Initially, we…

General Relativity and Quantum Cosmology · Physics 2021-08-19 Despoina Pazouli