content_image/329072.jpg content_image/329073.jpg content_image/329074.jpg content_image/329071.jpg content_image/329066.jpg content_image/329067.jpg content_image/329068.jpg content_image/329070.jpg content_image/329069.jpg
The geometric and thermodynamic parameters of the Universe are given by 

<img src='content_image/329072.jpg'>

<img src='content_image/329073.jpg'>

<img src='content_image/329074.jpg'>

<img src='content_image/329071.jpg'>

Although we have assumed here that the cosmic background is filled with viscous matter, the assumption that H = const results in an exponential scale parameter, Eq. (30). This behavior characterizes the de Sitter space, when Λ = k = 0. ρ and T are finite at small t as given in Fig. 2. 

## V. PARTICULAR SOLUTION 

Another particular solution for Eq. (12) can be obtained, when assuming that the depen- dence of u on H can be given by the polynomial in Eq. (21) 

<img src='content_image/329066.jpg'>

where b$_{1}$ and b$_{2}$ are constants. Some simple calculations show that this form is a solution of the initial equation, Eq. (13), if 

<img src='content_image/329067.jpg'>

<img src='content_image/329068.jpg'>

b$_{2}$ is identical to B in Eq. (23). r and γ have to satisfy the compatibility relation 

Integrating Eq. (35) results in 

<img src='content_image/329070.jpg'>

<img src='content_image/329069.jpg'>

