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Phys. Rev. D 66, 024016 (2002) [4 pages]

Cosmic censorship, area theorem, and self-energy of particles

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Shahar Hod
Department of Condensed Matter Physics, Weizmann Institute, Rehovot 76100, Israel

Received 14 April 2002; published 9 July 2002

The (zeroth-order) energy of a particle in the background of a black hole is given by Carter’s integrals. However, exact calculations of a particle’s self-energy (first-order corrections) are still beyond our present reach in many situations. In this paper we use Hawking’s area theorem in order to derive bounds on the self-energy of a particle in the vicinity of a black hole. Furthermore, we show that self-energy corrections must be taken into account in order to guarantee the validity of Penrose’s cosmic censorship conjecture.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.66.024016
DOI:
10.1103/PhysRevD.66.024016
PACS:
04.20.Dw, 04.20.Cv, 04.70.Bw