Spherical Symmetry Space Time is given by:
$ds^2$ = $e^\omega c^2dt^2$ - $e^\eta dt^2$ + $d\theta^2$+ $\sin^2 d\phi^2$
where $\eta$ and $\omega$ are functions of r.
I have calculated all the Ricci tensor components, which are:
$R(00)$ = $\omega''$ + 1/2 $\omega'$($\omega'-\eta'$) - 2/r($\omega'$)
$R(11)$ = $\omega''$ + 1/2 $\omega'$($\omega'-\eta'$) - 2/r($\eta'$)
$R(22)$ = (-r(e^$-\eta))$ + $\csc^2 \theta$ + $(\eta'/2+\omega'/2 + 2/r)$($-r$e^$-\eta)$) + 2e(e^$-\omega))$ - $\cot^2\theta$
$R(33)$= $\sin^2\theta$($R(22)$)
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and
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