Corley-Jacobson dispersion relation and trans-Planckian inflation

Jérôme Martin and Robert H. Brandenberger
Phys. Rev. D 65, 103514 – Published 9 May 2002
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Abstract

In this paper we study the dependence of the spectrum of fluctuations in inflationary cosmology on possible effects of trans-Planckian physics, using the Corley-Jacobson dispersion relations as an example. We compare the methods used in our previous work with the WKB approximation, give a new exact analytical result, and study the dependence of the spectrum obtained using the approximate method of our previous work on the choice of the matching time between different time intervals. We also comment on recent work subsequent to our previous work on the trans-Planckian problem for inflationary cosmology.

  • Received 24 January 2002

DOI:https://doi.org/10.1103/PhysRevD.65.103514

©2002 American Physical Society

Authors & Affiliations

Jérôme Martin*

  • Institut d’Astrophysique de Paris, 98bis boulevard Arago, 75014 Paris, France

Robert H. Brandenberger

  • Theory Division, CERN, CH-1211 Geneva 23, Switzerland

  • *Electronic address: jmartin@iap.fr
  • On leave from Department of Physics, Brown University, Providence, RI 02912. Electronic address: rhb@het.brown.edu

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Vol. 65, Iss. 10 — 15 May 2002

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