Scaling laws for weakly interacting cosmic (super)string and p-brane networks

Abstract

In this paper we find new scaling laws for the evolution of $p$-brane networks in $N+1$-dimensional Friedmann-Robertson-Walker universes in the weakly-interacting limit, giving particular emphasis to the case of cosmic superstrings ($p=1$) living in a universe with three spatial dimensions (N=3). In particular, we show that, during the radiation era, the root-mean-square velocity is $\bar{v}=1/\sqrt{2}$ and the characteristic length of non-interacting cosmic string networks scales as $L\propto a^{3/2}$ ($a$ is the scale factor), thus leading to string domination even when gravitational backreaction is taken into account. We demonstrate, however, that a small non-vanishing constant loop chopping efficiency parameter $\tilde{c}$ leads to a linear scaling solution with constant $LH\ll 1$ ($H$ is the Hubble parameter) and $\bar{v}\sim 1/\sqrt{2}$ in the radiation era, which may allow for a cosmologically relevant cosmic string role even in the case of light strings. We also determine the impact that the radiation-matter transition has on the dynamics of weakly interacting cosmic superstring networks.

5 pages, 2 figures

References in corpus (23)

• Cosmic F- and D-strings
• The Atacama Cosmology Telescope: Cosmological Parameters from the 2008 Power Spectra
• Quantitative String Evolution
• Extending the Velocity-dependent One-scale String Evolution Model
• The Production, Spectrum and Evolution of Cosmic Strings in Brane Inflation
• Collisions of Cosmic F- and D-strings
• Cosmological Creation of D-branes and anti-D-branes
• Evolution of cosmic string configurations
• Scaling of Multi-Tension Cosmic Superstring Networks
• Scaling and Small Scale Structure in Cosmic String Networks
• Cosmic String constraints from WMAP and the South Pole Telescope
• On T-Duality in Brane Gas Cosmology
• One-scale Model for Domain Wall Network Evolution
• Evolution of cosmic superstring networks: a numerical simulation
• Scaling Properties of Domain Wall Networks
• Cosmic string parameter constraints and model analysis using small scale Cosmic Microwave Background data
• Velocity-Dependent Models for Non-Abelian/Entangled String Networks
• Dynamics of domain wall networks with junctions
• Cosmological perturbations and the reionization epoch
• Scaling configurations of cosmic superstring networks and their cosmological implications
• The cosmological evolution of p-brane networks
• p-brane dynamics in (N+1)-dimensional FRW universes: a unified framework
• Domain wall network evolution in (N+1)-dimensional FRW universes

Cited by in corpus (15)

• Cosmology with the Laser Interferometer Space Antenna
• Cosmic String Interpretation of NANOGrav Pulsar Timing Data
• Probing the gravitational wave background from cosmic strings with LISA
• Probing the pre-BBN universe with gravitational waves from cosmic strings
• Stochastic Gravitational Wave Background generated by Cosmic String Networks: Velocity-Dependent One-Scale model versus Scale-Invariant Evolution
• Full analytical approximation to the stochastic gravitational wave background generated by cosmic string networks
• Gravitational Wave Bursts as Harbingers of Cosmic Strings Diluted by Inflation
• Probing Cosmic Superstrings with Gravitational Waves
• Signature of inflation in the stochastic gravitational wave background generated by cosmic string networks
• The Stochastic Gravitational Wave Background Generated by Cosmic String Networks: the Small-Loop Regime
• CMB anisotropies generated by cosmic string loops
• Cosmic (super)strings with a time-varying tension
• Imprint of Early Dark Energy in Stochastic Gravitational Wave Background
• Cosmic superstrings in large volume compactifications: PTAs, LISA and time-varying tension
• Can Superconducting Cosmic Strings Piercing Seed Black Holes Generate Supermassive Black Holes in the Early Universe?