Journal
PHYSICS LETTERS B
Volume 727, Issue 1-3, Pages 345-348Publisher
ELSEVIER
DOI: 10.1016/j.physletb.2013.10.047
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Funding
- Carmel Science Foundation
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One of the most remarkable predictions of the general theory of relativity is the existence of black-hole photonspheres, compact null hypersurfaces on which massless particles can orbit the central black hole. We prove that every spherically-symmetric asymptotically flat black-hole spacetime is characterized by a photonsphere whose radius is bounded from above by r(gamma) <= 3M, where M is the total ADM mass of the black-hole spacetime. It is shown that hairy black-hole configurations conform to this upper bound. In particular, the null circular geodesic of the (bald) Schwarzschild black-hole spacetime saturates the bound. (C) 2013 Elsevier B.V. All rights reserved.
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