Scale Invariance from Modified Dispersion Relations
arXiv:0907.3982 · doi:10.1142/S0218271810018074
Abstract
In this paper, inspired by the investigations on the theory of cosmological perturbations in Hořava-Liftshit cosmology, we calculated the spectrum of primordial perturbation leaded by a scalar field with modified dispersion relation ω\sim k^z/a^{p-1}, in which z is the critical exponent and p is generally not equal to z. We discussed that for fixed z, if the spectrum is required to be scale invariant, how should p depend on the background evolution. We concluded that there is always a room of parameters for the generation of scale invariant spectrum.
8 pages, 2 figures
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- Cosmological complexity of the modified dispersion relation
- Confronting the Potential-driven DBI-inspired nonminimal kinetic coupling (Dinkic) inflation to the observational data
- Adiabatic Duality: Duality of cosmological models with varying slow-roll parameter and sound speed