Trans-Planckian Physics from a Nonlinear Dispersion Relation

Details Trans-Planckian Physics from a Nonlinear Dispersion Relation Trans-Planckian Physics from a Nonlinear Dispersion Relation

2008-08-08

arxiv.org/abs/0808.1262v2

Phys.Rev.D79:023514,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 10 figures. Some changes made, comments and references added, a figure added, typos corrected, conclusions unchanged

Scientific paper

10.1103/PhysRevD.79.023514

We study a particular nonlinear dispersion relation $\omega_p(k_p)$ -- a series expansion in the physical wavenumber $k_p$ -- for modeling first-order corrections in the equation of motion of a test scalar field in a de Sitter spacetime from trans-Planckian physics in cosmology. Using both a numerical approach and a semianalytical one, we show that the WKB approximation previously adopted in the literature should be used with caution, since it holds only when the comoving wavenumber $k\gg aH$. We determine the amplitude and behavior of the corrections on the power spectrum for this test field. Furthermore, we consider also a more realistic model of inflation, the power-law model, using only a numerical approach to determine the corrections on the power spectrum.

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