The positive mass theorem for black holes revisited

Details The positive mass theorem for black holes revisited The positive mass theorem for black holes revisited

Jun 1998

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1998jgp....26...97h&link_type=abstract

Journal of Geometry and Physics, Volume 26, Issue 1-2, p. 97-111.

Physics

20

Scientific paper

We present a rigorous proof of the positive mass theorem for black holes. Accordingly, in a four-dimensional Lorentz manifold satisfying the dominant energy condition, the mass of a three-dimensional asymptotically flat slice with boundary composed of a finite number of future or past trapped closed 2-surfaces is nonnegative. The proof uses the classical Witten argument and is valid even if only rather weak asymptotic conditions are imposed.

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