Stochastic gravitational waves from long cosmic strings

Abstract

We compute the expected strain power spectrum and energy density parameter of the stochastic gravitational wave background (SGWB) created by a network of long cosmic strings evolving during the whole cosmic history. As opposed to other studies, the contribution of cosmic string loops is discarded and our result provides a robust lower bound of the expected signal that is applicable to most string models. Our approach uses Nambu-Goto numerical simulations, running during the radiation, transition and matter eras, in which we compute the two-point unequal-time anisotropic stress correlators. These ones act as source terms in the linearised equations of motion for the tensor modes, that we solve using an exact Green's function integrator. Today, we find that the rescaled strain power spectrum $(k/{\mathcal{H}}_0{)}^2{\mathcal{P}}_h$ peaks on Hubble scales and exhibits, at large wavenumbers, high frequency oscillations around a plateau of amplitude $100(GU{)}^2$. Most of the high frequency power is generated by the long strings present in the matter era, the radiation era contribution being smaller.

arXiv comment28 pages, 9 figures, uses jcappub. References and discussions added. Matches published version

References in corpus (79)

• Cosmic strings
• An All-Sky Analysis of Polarization in the Microwave Background
• Cuba - a library for multidimensional numerical integration
• Cosmological Backgrounds of Gravitational Waves
• The NANOGrav 12.5-year Data Set: Search For An Isotropic Stochastic Gravitational-Wave Background
• Upper Limits on the Isotropic Gravitational-Wave Background from Advanced LIGO's and Advanced Virgo's Third Observing Run
• Gravitational wave bursts from cosmic strings
• The number of cosmic string loops
• Planck 2013 results. XXV. Searches for cosmic strings and other topological defects
• The International Pulsar Timing Array second data release: Search for an isotropic Gravitational Wave Background
• Cosmological evolution of cosmic string loops
• Probing the gravitational wave background from cosmic strings with LISA
• Accurate Estimators of Correlation Functions in Fourier Space
• Cosmic Strings and Superstrings
• Cosmic Structure Formation with Topological Defects
• CMB power spectrum contribution from cosmic strings using field-evolution simulations of the Abelian Higgs model
• Constraints on cosmic strings using data from the third Advanced LIGO-Virgo observing run
• Scaling of cosmic string loops
• Birefringent Gravitational Waves and the Consistency Check of Inflation
• General CMB and Primordial Bispectrum Estimation I: Mode Expansion, Map-Making and Measures of f_NL
• Beyond the Standard Models with Cosmic Strings
• Cosmic string loop distribution on all length scales and at any redshift
• Exact Scale-Invariant Background of Gravitational Waves from Cosmic Defects
• Cosmic Vortons and Particle Physics Constraints
• Abelian Higgs Cosmic Strings: Small Scale Structure and Loops
• Small-Angle CMB Temperature Anisotropies Induced by Cosmic Strings
• Stochastic gravitational waves from cosmic string loops in scaling
• Observing Invisible Axions with Gravitational Waves
• Analytic Study of Small Scale Structure on Cosmic Strings
• The CMB Bispectrum
• Doppler peaks from active perturbations
• Cosmic Strings and Cosmic Superstrings
• Cosmic strings and their induced non-Gaussianities in the cosmic microwave background
• Cosmic Strings
• The CMB temperature bispectrum induced by cosmic strings
• Loop decay in Abelian-Higgs string networks
• Spectral separation of the stochastic gravitational-wave background for LISA in the context of a modulated Galactic foreground
• Cosmic string parameter constraints and model analysis using small scale Cosmic Microwave Background data
• Irreducible background of gravitational waves from a cosmic defect network: update and comparison of numerical techniques
• Signature of inflation in the stochastic gravitational wave background generated by cosmic string networks
• CMB temperature trispectrum of cosmic strings
• Cosmic Superstrings Revisited
• Causality and the Doppler Peaks
• Radio Broadcasts from Superconducting Strings
• Constraints on the Nambu-Goto cosmic string contribution to the CMB power spectrum in light of new temperature and polarisation data
• Gravitational wave signatures from kink proliferation on cosmic (super-) strings
• Cosmic string loop production functions
• Direct determination of cosmic string loop density from simulations
• Large Scale Structure Formation with Global Topological Defects. A new Formalism and its implementation by numerical simulations
• Scaling solution for small cosmic string loops
• CMB power spectrum of Nambu-Goto cosmic strings
• All sky CMB map from cosmic strings integrated Sachs-Wolfe effect
• Cosmic strings, loops, and linear growth of matter perturbations
• Wavelet-Bayesian inference of cosmic strings embedded in the cosmic microwave background
• Searching for gravitational wave bursts from cosmic string cusps with the Parkes Pulsar Timing Array
• Gravitational back reaction on piecewise linear cosmic string loops
• Gravitational smoothing of kinks on cosmic string loops
• Massive black holes at high redshifts from superconducting cosmic strings
• A Nonthermal Radio Filament Connected to the Galactic Black Hole?
• A Convolutional Neural Network For Cosmic String Detection in CMB Temperature Maps
• Multi-Scale Pipeline for the Search of String-Induced CMB Anisotropies
• Large scale CMB anomalies from thawing cosmic strings
• Coherent Gravitational Waveforms and Memory from Cosmic String Loops
• Gravitational backreaction on a cosmic string: Formalism
• A Boltzmann treatment for the vorton excess problem
• Irreducible cosmic production of relic vortons
• Impact of the small-scale structure on the Stochastic Background of Gravitational Waves from cosmic strings
• Spinning black holes as cosmic string factories
• Probing Cosmic Strings with Satellite CMB measurements
• Excited cosmic strings with superconducting currents
• Effects of cosmic strings with delayed scaling on CMB anisotropy
• The bispectrum of cosmic string temperature fluctuations including recombination effects
• General modal estimation for cross-bispectra
• Tracking Down the Route to the SM with Inflation and Gravitational Waves
• Photon interactions with superconducting topological defects
• Clustering of cosmic string loops
• A New Picture of Cosmic String Evolution and Anisotropic Stochastic Gravitational-Wave Background
• The Global 21 cm Signal of a Network of Cosmic String Wakes
• Interferences in the Stochastic Gravitational Wave Background

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