Higher genus horizons as least area surfaces

Details Higher genus horizons as least area surfaces Higher genus horizons as least area surfaces

Nov 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999aipc..493..137w&link_type=abstract

Eighth Canadian conference on general relativity and relativistic astrophysics. AIP Conference Proceedings, Volume 493, pp. 137

Astronomy and Astrophysics

Astrophysics

Classical Black Holes, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

By a trivial modification of Hawking's well-known topology theorem for black holes, one can obtain a lower bound of 4π(g-1)/-Λ for the area of an apparent horizon of genus g in a vacuum spacetime with cosmological constant Λ<0. We discuss a derivation in the special case of an apparent horizon at a moment of time symmetry, so that the horizon is a minimal surface.

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