*p*-brane networks

__P. P. Avelino__, __L. Sousa__

**Abstract**

In this paper we find new scaling laws for the evolution of p-brane networks in N þ 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 ν = 1/√2 p and the characteristic length of non-interacting cosmic string networks scales as L ∝ 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 ~c leads to a linear scaling solution with constant LH ≪ 1 (H is the Hubble parameter) and ν ∼ 1/√2 p 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.

**Physical Review D**

Volume 85, Issue 8, Page 083515_1

2012 April