A Solvable Model for Anharmonic Evolution of Cosmic Axion Overdensitites

Details A Solvable Model for Anharmonic Evolution of Cosmic Axion Overdensitites A Solvable Model for Anharmonic Evolution of Cosmic Axion Overdensitites

1994-10-12

arxiv.org/abs/astro-ph/9410038v1

Astronomy and Astrophysics

Astrophysics

VAND-TH-94-22; presented at the 7th Marcel Grossmann Meeting on General Relativity, Stanford U. July 24-29, 1994. 5 pages, Lat

Scientific paper

We present analytic solutions to the spatially homogeneous axion field equation, using a model potential which strongly resembles the $(1-\cos \theta)$ standard anharmonic potential. We find that the anharmonicity amplifies early universe axion density fluctuations, but only significantly so for relatively large initial misalignment angles. Enhancements of $\sim$ (2,3,4,13) result for $\theta_{\rm in}\sim (0.85,0.90,0.95,0.99)\times\pi$. The large $\theta$ result agrees with Lyth, and so validates his approximations.

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