Averaging matter before solving the Klein-Gordon equation mis-estimates the coarse-grained scalar-field energy density and pressure, by factors up to about 10^5 for a Yukawa model and with mean-field deviations exceeding 10^5 for screened chameleons.
Cosmological scaling solutions of non-minimally coupled scalar fields
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abstract
We study the existence and stability of cosmological scaling solutions of a non-minimally coupled scalar field evolving in either an exponential or inverse power law potential. We show that for inverse power law potentials there exist scaling solutions the stability of which does not depend on the coupling constant $\xi$. We then study the more involved case of exponential potentials and show that the scalar field will assymptotically behaves as a barotropic fluid when $\xi\ll 1$. The general case $\xi\not\ll 1$ is then discussed an we illustrate these results by some numerical examples.
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gr-qc 1years
2025 1verdicts
CONDITIONAL 1representative citing papers
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Scalar-tensor theories at different scales: averaging the scalar sector
Averaging matter before solving the Klein-Gordon equation mis-estimates the coarse-grained scalar-field energy density and pressure, by factors up to about 10^5 for a Yukawa model and with mean-field deviations exceeding 10^5 for screened chameleons.