Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-01-29
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages, LaTeX
Scientific paper
We investigate the ratio of gravitational binding energy to rest mass in general relativity. For N pointlike masses, an upper bound on the magnitude of this ratio can be derived using the second law of black hole dynamics. Only as N approaches infinity can it approach one. A configuration that saturates the $N = \infty$ bound is a thin spherical shell as its radius is taken to zero. This system provides, in principle, a perfectly efficient mechanism for converting rest mass into energy. We mention possible implications for the black hole information problem.
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