I investigate non-Gaussian signatures in the context of tachyacoustic cosmology, that is, a noninflationary model with superluminal speed of sound. I calculate the full non-Gaussian amplitude $\mathcal{ A}$, its size $f_{ \rm NL}$, and corresponding shapes for a red-tilted spectrum of primordial scalar perturbations. Specifically, for cuscuton-like models I show that $f_{ \rm NL}\sim { \cal O}(1)$, and the shape of its non-Gaussian amplitude peaks for both equilateral and local configurations, the latter being dominant. These results, albeit similar, are quantitatively distinct from the corresponding ones obtained by Magueijo { \it{ et. al}} in the context of superluminal bimetric models.

Categories: gr-qc astro-ph.CO

Non-Gaussian signatures of Tachyacoustic Cosmology