Hanyu Cheng🇨🇳 · Eleonora Di Valentino🇬🇧 · Luca Visinelli🇮🇹
Cosmic strings, topological defects predicted by high-energy theories, may contribute to the late-time expansion of the Universe, effectively mimicking dynamical dark energy. We investigate four phenomenological extensions of the ΛCDM model involving a residual string network: (i) a non-relativistic component with positive energy density (Model~1), (ii) a velocity-dependent extension (Model~2), (iii) a non-relativistic string network with energy density allowed to take both positive and negative values (Model~3), and (iv) a general scenario with free energy and velocity parameters (Model~4). These models are constrained using \textit{Planck} CMB data, SDSS or DESI baryon acoustic oscillations, and Type Ia supernovae observations. Models~1 and~2 yield strong upper bounds on the string density, for example, Ωs<0.00901 at 95\% CL from the CMB+DESI+DESY5 combination for Model~2, and mildly shift the inferred value of H0 upward, though they are not favored by Bayesian evidence. For the same combination, the bulk velocity is bound as vs<0.569. Models~3 and~4 exhibit a consistent preference for slightly negative values of Ωs, with CMB-only data yielding Ωs=−0.038−0.022+0.029 and vs<0.574 in Model~4, and a best-fit improvement of Δχ2=−6.07. However, these improvements are not sufficient to overcome the Occam penalty, and the Bayesian evidence continues to favor ΛCDM. These findings demonstrate the power of current data to constrain exotic energy components and encourage further exploration of string-inspired extensions to ΛCDM, particularly those involving negative-tension networks.
↳ astro-ph.COhep-phJHEAp(2026)·33 citations