2012/07/13 by Maria G. Romania, Maria G Romania, N. C. Tsamis +3
Physics and Astronomy · #Astronomy and Astrophysical Research #Constant (computer programming) #Cosmology and Gravitation Theories #Galaxies: Formation, Evolution, Phenomena #Horizon #Inflation (cosmology) #Mode (computer interface) #Power (physics) #Simple (philosophy) #Spectral density #Spectral line #astro-ph.CO #gr-qc #hep-th
paper · pdf · doi:10.1088/1475-7516/2012/08/029
11 pages, uses LaTex2e
arxiv created 2012/07/13 · openalex publication_date 2012/08/28 · arxiv updated 2015/06/05 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06
The tree order power spectra of primordial inflation depend upon the norm-squared of mode functions which oscillate for early times and then freeze in to constant values. We derive simple differential equations for the power spectra, that avoid the need to numerically simulate the physically irrelevant phases of the mode functions. We also derive asymptotic expansions which should be valid until a few e-foldings before first horizon crossing, thereby avoiding the need to evolve mode functions from the ultraviolet over long periods of inflation.