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We present a new formula for the rate at which cosmic strings lose energy into gravitational radiation, valid for all piecewise-linear cosmic string loops. At any time, such a loop is composed of $N$ straight segments, each of which has…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Bruce Allen , Paul Casper

We derived expressions for energy, momentum and angular momentum losses due to gravitational and electromagnetic radiation from the closed superconducting chiral cosmic strings of arbitrary form. The expressions for corresponding radiation…

Astrophysics · Physics 2009-11-07 E. Babichev , V. Dokuchaev

Cosmic string loops are defined by a pair of periodic functions ${\bf a}$ and ${\bf b}$, which trace out unit-length closed curves in three-dimensional space. We consider a particular class of loops, for which ${\bf a}$ lies along a line…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Bruce Allen , Paul Casper , Adrian Ottewill

We obtain general formulae for the plus- and cross- polarized waveforms of gravitational radiation emitted by a cosmic string loop in transverse, traceless (synchronous, harmonic) gauge. These equations are then specialized to the case of…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Bruce Allen , Adrian C. Ottewill

We examine the rates at which energy and momentum are radiated into gravitational waves by a large set of realistic cosmic string loops. The string loops are generated by numerically evolving parent loops with different initial conditions…

General Relativity and Quantum Cosmology · Physics 2016-08-31 Paul Casper , Bruce Allen

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

The gravitational back-reaction on a certain type of rigidly-rotating cosmic string loop, first discovered by Allen, Casper and Ottewill, is studied at the level of the weak-field approximation. The near-field metric perturbations are…

General Relativity and Quantum Cosmology · Physics 2010-11-19 Malcolm Anderson

We calculate the gravitational radiation emitted by an infinite cosmic string with two oppositely moving wave-trains, in the small amplitude approximation. After comparing our result to the previously studied cases we extend the results to…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Xavier Siemens , Ken D. Olum

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

We point out that the odd-in-velocity contribution to the $\mathcal{O}(G^4)$ radiated angular momentum for two-body scattering is determined by the radiation-reaction (RR) term in the one-loop waveform. This RR term is actually proportional…

High Energy Physics - Theory · Physics 2025-07-01 Carlo Heissenberg

We study the impact of fragmentation on the cosmic string loop number density, using an approach inspired by the three-scale model and a Boltzmann equation. We build a new formulation designed to be more amenable to numerical resolution and…

Cosmology and Nongalactic Astrophysics · Physics 2025-12-12 Pierre Auclair

We calculate the metric and affine connection due to a piecewise linear cosmic string loop, and the effect of gravitational back reaction for the Garfinkle-Vachaspati loop with four straight segments. As expected, back reaction reduces the…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Jeremy M. Wachter , Ken D. Olum

We investigate exact and approximate techniques to calculate the emission of gravitational radiation from cosmic string loops in order to generate beam models covering the entire celestial sphere for a wide range of modes $m$. One approach…

Cosmology and Nongalactic Astrophysics · Physics 2024-06-27 Namitha Suresh , David F. Chernoff

Constraints on the tension and the abundance of cosmic strings depend crucially on the rate at which they decay into particles and gravitational radiation. We study the decay of cosmic string loops in the Abelian-Higgs model by performing…

High Energy Physics - Phenomenology · Physics 2019-05-22 Daiju Matsunami , Levon Pogosian , Ayush Saurabh , Tanmay Vachaspati

We report on the results of performing computational gravitational backreaction on cosmic string loops taken from a network simulation. The principal effect of backreaction is to smooth out small-scale structure on loops, which we…

General Relativity and Quantum Cosmology · Physics 2025-11-14 Jeremy M. Wachter , Ken D. Olum , Jose J. Blanco-Pillado , Vishnu R. Gade , Kirthivarsha Sivakumar

The linearly polarized gravitational waveforms from a certain type of rotating, evaporating cosmic string - the Allen-Casper-Ottewill loop - are constructed and plotted over the lifetime of the loop. The formulas for the waveforms are…

General Relativity and Quantum Cosmology · Physics 2009-05-20 Malcolm Anderson

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

Chiral cosmic string loop tends to the stationary (vorton) configuration due to the energy loss into the gravitational and electromagnetic radiation. We describe the asymptotic behaviour of near stationary chiral loops and their fading to…

High Energy Physics - Phenomenology · Physics 2009-11-07 Eugeny Babichev , Vyacheslav Dokuchaev

We examine the Einstein equation with the energy-momentum tensors which correspond to an infinite line string of finite radius plus an outgoing radiation field. It is used to see the effect of the radiation field on the spacetime of a…

High Energy Physics - Theory · Physics 2009-11-10 Wung-Hong Huang

We analytically derive the expected number density distribution of Nambu-Goto cosmic string loops at any redshift soon after the time of string formation to today. Our approach is based on the Polchinski-Rocha model of loop formation from…

Cosmology and Nongalactic Astrophysics · Physics 2011-03-21 Larissa Lorenz , Christophe Ringeval , Mairi Sakellariadou
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