Impact of the small-scale structure on the Stochastic Background of Gravitational Waves from cosmic strings

Abstract

Numerical simulations and analytical models suggest that infinite cosmic strings produce cosmic string loops of all sizes with a given power-law. Precise estimations of the power-law exponent are still matter of debate while numerical simulations do not incorporate all the radiation and back-reaction effects expected to affect the network at small scales. Previously it has been shown, using a Boltzmann approach, that depending on the steepness of the loop production function and the gravitational back-reaction scale, a so-called Extra Population of Small Loops (EPSL) can be generated in the loop number density. We propose a framework to study the influence of this extra population of small loops on the Stochastic Background of Gravitational Waves (SBGW). We show that this extra population can have a significant signature at frequencies higher than $H_0(\Gamma G\mu {)}^{-1}$ where $\Gamma$ is of order $50$ and $H_0$ is the Hubble constant. We propose a complete classification of the gravitational wave power spectra expected from cosmic strings into four classes, including the model of Blanco-Pillado, Olum and Shlaer and the model of Lorenz, Ringeval and Sakellariadou. Finally we show that given the uncertainties on the Polchinski-Rocha exponents, two hybrid classes of gravitational wave power spectrum can be considered giving very different predictions for the SBGW.

References in corpus (41)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• Planck 2015 results. XIII. Cosmological parameters
• Cosmic strings
• Gravitational wave bursts from cosmic strings
• Gravitational wave bursts from cusps and kinks on cosmic strings
• The number of cosmic string loops
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• Search for the isotropic stochastic background using data from Advanced LIGO's second observing run
• Cosmological evolution of cosmic string loops
• Probing the gravitational wave background from cosmic strings with LISA
• Gravitational-Wave Stochastic Background from Kinks and Cusps on Cosmic Strings
• Large parallel cosmic string simulations: New results on loop production
• Stochastic gravitational wave background from smoothed cosmic string loops
• Reconstructing the spectral shape of a stochastic gravitational wave background with LISA
• Fractal Properties and Small-scale Structure of Cosmic String Networks
• Constraints on cosmic string tension imposed by the limit on the stochastic gravitational wave background from the European Pulsar Timing Array
• Constraints on cosmic strings using data from the first Advanced LIGO observing run
• Gravitational wave bursts from cosmic (super)strings: Quantitative analysis and constraints
• Evolution of cosmic string configurations
• Cosmic string loop distribution on all length scales and at any redshift
• Stochastic gravitational waves from cosmic string loops in scaling
• Analytic Study of Small Scale Structure on Cosmic Strings
• Cosmic String Structure at the Gravitational Radiation Scale
• New CMB constraints for Abelian Higgs cosmic strings
• Cosmic String Loops, Large and Small
• Search for Cosmic Strings in CMB Anisotropies
• Full analytical approximation to the stochastic gravitational wave background generated by cosmic string networks
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Cosmic Strings
• On the size of the smallest scales in cosmic string networks
• Kinks and small-scale structure on cosmic strings
• Gravitational Radiation and the Small-Scale Structure of Cosmic Strings
• Cosmic string loop production functions
• Direct determination of cosmic string loop density from simulations
• Gravitational backreaction simulations of simple cosmic string loops
• Energy-conservation constraints on cosmic string loop production and distribution functions
• Models for Small-Scale Structure on Cosmic Strings: I. Mathematical Formalism
• Gravitational back-reaction near cosmic string kinks and cusps
• Cosmic String Loops and Gravitational Radiation
• Gravitational backreaction on a cosmic string: Formalism
• Models for Small-Scale Structure on Cosmic Strings: II. Scaling and its stability

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• Practical approaches to analyzing PTA data: Cosmic strings with six pulsars
• Irreducible cosmic production of relic vortons
• Stochastic gravitational waves from long cosmic strings
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• The cusp properties of High Harmonic Loops
• Breaking the Strings: the signatures of Cosmic String Loop Fragmentation