Results and Discussion
Correspondence to Schwarzschild solution
In the static case, we have established the relation between 
To establish correspondence to Schwarzschild solution we first write
(21.1)
^2 = \frac{1}{\left ( 2A_{(1)} \right )^2 } \frac{1}{g_{11}} \left ( \frac{d \varphi}{2 \sqrt{\varphi}} \right )^2 &bg=ffffff&s=2.5)
This has resulted following (20.13), given (20.14) and (20.15).
The form of our auxiliary field that can lead to the desired correspondence is given by hand and this takes the following form
(21.2)
 = \frac{1}{\beta} ln \frac{r}{a_{0}} &bg=ffffff&s=2.5)
Thus, our conformal scalar simply becomes the square of the radius of our two-sphere (3).
(21.3)
As a consequence we write the fundamental line element (2) on 
(21.4)
^2 %2B \frac{1}{ g_{11}}dr^2 &bg=ffffff&s=2.5)
where
(21.5)
}}{r} \right ) &bg=ffffff&s=2.5)
upon the normalization } &bg=ffffff&s=0)
Foxtrotpaparomeo's Blog 