Cosmic Censorship, Area Theorem, and Self-Energy of Particles

Abstract

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 {\it 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 {\it must} be taken into account in order to guarantee the validity of Penrose cosmic censorship conjecture.

11 pages

References in corpus (1)

• Self-Force on a Scalar Charge in Circular Orbit around a Schwarzschild Black Hole

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