Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential

Details Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential Dynamics of a Dark Matter Field with a Quartic Self-Interaction Potential

1999-10-19

arxiv.org/abs/astro-ph/9910350v1

Phys.Rev. D62 (2000) 023502

Astronomy and Astrophysics

Astrophysics

7 pages, 5 figures, submitted to Phys Rev D

Scientific paper

10.1103/PhysRevD.62.023502

It may prove useful in cosmology to understand the behavior of the energy distribution in a scalar field that interacts only with gravity and with itself by a pure quartic potential, because if such a field existed it would be gravitationally produced, as a squeezed state, during inflation. It is known that the mean energy density in such a field after inflation varies with the expansion of the universe in the same way as radiation. I show that if the field initially is close to homogeneous, with small energy density contrast delta rho /rho and coherence length L, the energy density fluctuations behave like acoustic oscillations in an ideal relativistic fluid for a time on the order of L/|delta rho /rho|. This ends with the appearance of features that resemble shock waves, but interact in a close to elastic way that reversibly disturbs the energy distribution.

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