Solution
= Solution
Computing $R=6(\ddot a/a+(\dot a^2+k)/a^2)$ gives
$$
\dot a^2=\frac{8\pi\rho}{3}a^2-k,\qquad \ddot a=-\frac{4\pi}{3}(\rho+3p)a.
$$
\b[Thus $\alpha=8\pi\rho/3$, $\beta=-k$, and $\gamma=-4\pi(\rho+3p)/3$ in the stated notation.]
= Solution
Computing $R=6(\ddot a/a+(\dot a^2+k)/a^2)$ gives
$$
\dot a^2=\frac{8\pi\rho}{3}a^2-k,\qquad \ddot a=-\frac{4\pi}{3}(\rho+3p)a.
$$
\b[Thus $\alpha=8\pi\rho/3$, $\beta=-k$, and $\gamma=-4\pi(\rho+3p)/3$ in the stated notation.]