content_image/365070.jpg content_image/365071.jpg content_image/365074.jpg content_image/365075.jpg content_image/365076.jpg content_image/365077.jpg content_image/365078.jpg
with the following correspondence: 

The two independent solutions of (13) in this regime read 

<img src='content_image/365070.jpg'>

<img src='content_image/365071.jpg'>

in terms of the hypergeometric function[15]. In the following discussion, we consider the upper sign solution only, because the other solution corresponds to the decaying mode and is singular at t → 0. Then the solution behaves as 

<img src='content_image/365074.jpg'>

respectively. The transfer function, C ( k ), is given by 

<img src='content_image/365075.jpg'>

where 

Note that the effective gravitational constant (14) reads 

<img src='content_image/365076.jpg'>

<img src='content_image/365077.jpg'>

in the high-curvature regime when F ∼ = 1. In the position space, such a theory has the potential 

per unit mass [33] for such sufficiently small r for which time dependence of m$_{s}$ ( t ) may be neglected. Thus, each Fourier mode feels 4 / 3 times the conventional gravitational force if and only if k/a ( t ) ≳ m$_{s}$ ( t ) = (3 F ′ ) − 1 / $^{2}$. 

<img src='content_image/365078.jpg'>

