Trans-Planckian dispersion and scale invariance of inflationary perturbations
- 12 October 2001
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review D
- Vol. 64 (10), 101301
- https://doi.org/10.1103/physrevd.64.101301
Abstract
We question the insensitivity of the predictions of inflationary models with respect to modifications of Planck energy physics. The modification we consider consists in replacing the usual dispersion relation by nonlinear ones. This way of addressing the problem has recently received attention and contradictory results were found. Our main result is to show that the adiabaticity of the mode propagation and the separation of two scales of interest, the Planck scale and the cosmological horizon scale, are sufficient conditions for the predictions to be unchanged. We then show that almost all models satisfy the first condition when the second is met. Therefore the introduction of a nonlinear dispersion is unlikely to have any discernable effects on the power spectrum of cosmological perturbations.Keywords
Other Versions
This publication has 16 references indexed in Scilit:
- Trans-Planckian problem of inflationary cosmologyPhysical Review D, 2001
- Inflation with a Planck-scale frequency cutoffPhysical Review D, 2001
- Mode generating mechanism in inflation with a cutoffPhysical Review D, 2001
- Testing dispersion relations of quantum κ-Poincaré algebra on cosmological groundPhysics Letters B, 2001
- Black hole radiation with high frequency dispersionPhysical Review D, 2000
- Trans-Planckian Redshifts and the Substance of the Space-Time RiverProgress of Theoretical Physics Supplement, 1999
- Hawking spectrum and high frequency dispersionPhysical Review D, 1996
- Hawking radiation without trans-Planckian frequenciesPhysical Review D, 1995
- Sonic analogue of black holes and the effects of high frequencies on black hole evaporationPhysical Review D, 1995
- The inflationary UniverseReports on Progress in Physics, 1984