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2014

Small-scale Nonlinear Dynamics of K-mouflage Theories

Brax, Philippe, Valageas, Patrick

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We investigate the small-scale static configurations of K-mouflage models defined by a general function $K(\chi)$ of the kinetic terms.

The fifth force is screened by the nonlinear K-mouflage mechanism if $K'(\chi)$ grows sufficiently fast for large negative $\chi$.
In the general non-spherically symmetric case, the fifth force is not aligned with the Newtonian force.
For spherically symmetric static matter density profiles, the results depend on the potential function $W_{-}(y) = y K'(-y^2/2)$, which must be monotonically increasing to $+\infty$ for $y \geq 0$ to guarantee the existence of a single solution throughout space for any matter density profile.

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