Penrose's quasi-local mass and the isoperimetric inequality for static black holes

Details Penrose's quasi-local mass and the isoperimetric inequality for static black holes Penrose's quasi-local mass and the isoperimetric inequality for static black holes

Jul 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985cqgra...2l..65t&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 2, July 1, 1985, p. L65-L68.

Astronomy and Astrophysics

Astronomy

14

Black Holes (Astronomy), Inequalities, Isoperimetric Problem, Mass Distribution, Space-Time Functions

Scientific paper

It is shown that, with Penrose's definition of its mass, a static black
hole satisfies the inequality A is less than or equal to 16 Pi sq m
where A is its area. This is a strict inequality unless the hole is
spherically symmetric.

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