Self-Renormalization of the Classical Quasilocal Energy

Details Self-Renormalization of the Classical Quasilocal Energy Self-Renormalization of the Classical Quasilocal Energy

2006-10-18

arxiv.org/abs/gr-qc/0610088v1

Phys.Rev.D75:084026,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 4 figures

Scientific paper

10.1103/PhysRevD.75.084026

Pointlike objects cause many of the divergences that afflict physical theories. For instance, the gravitational binding energy of a point particle in Newtonian mechanics is infinite. In general relativity, the analog of a point particle is a black hole and the notion of binding energy must be replaced by quasilocal energy. The quasilocal energy (QLE) derived by York, and elaborated by Brown and York, is finite outside the horizon but it was not considered how to evaluate it inside the horizon. We present a prescription for finding the QLE inside a horizon, and show that it is finite at the singularity for a variety of types of black hole. The energy is typically concentrated just inside the horizon, not at the central singularity.

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