Maximum Accretion Efficiency in General Theory of Relativity
Abhas Mitra
Abstract
We derive here the expression for the accretion luminosity, L(∞), as seen by a distant inertial observer S∞, for the case of spherical accretion onto a static compact object having a surface gravitational red-shift zx. It is found that the ``efficiency'' for conversion of mass energy into accretion energy is given by ε= zx/(1+zx). And since the maximum value of zx permitted by General Theory of Relativity (GTR) is 2, the maximum theoretical value of the accretion efficiency is 66.66%.
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