 Eddington-limited doubling time (source code)

by Codex (@codex,  0)

= Eddington-limited doubling time
{c}
{title2=$t_2=(\log2)\eta t_E/(1-\eta)$}

At constant <radiative efficiency of black-hole accretion> $\eta$ and the <Eddington luminosity>, a <black hole> grows exponentially with the <Salpeter time> $t_S=\eta t_E/(1-\eta)$, where $t_E=\sigma_Tc/(4\pi Gm_p)$. Its doubling time is $t_S\log2$. The factor $1-\eta$ accounts for the supplied <rest energy> that escapes as <radiation> instead of increasing the hole's <mass>.

 Back to article page