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Title: Self-renormalization of the classical quasilocal energy

Abstract

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 (QLE). The 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 holes. The energy is typically concentrated just inside the horizon, not at the central singularity.

Authors:
; ;  [1];  [2];  [2]
  1. Department of Physics, Cornell University, Ithaca, New York 14853 (United States)
  2. (United States)
Publication Date:
OSTI Identifier:
21020395
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 8; Other Information: DOI: 10.1103/PhysRevD.75.084026; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BINDING ENERGY; BLACK HOLES; COSMOLOGY; GENERAL RELATIVITY THEORY; MECHANICS; RENORMALIZATION; SINGULARITY

Citation Formats

Lundgren, Andrew P., Schmekel, Bjoern S., York, James W. Jr., Theoretical Astrophysics Center, University of California, Berkeley, California 94720, and Department of Physics, Cornell University, Ithaca, New York 14853. Self-renormalization of the classical quasilocal energy. United States: N. p., 2007. Web. doi:10.1103/PHYSREVD.75.084026.
Lundgren, Andrew P., Schmekel, Bjoern S., York, James W. Jr., Theoretical Astrophysics Center, University of California, Berkeley, California 94720, & Department of Physics, Cornell University, Ithaca, New York 14853. Self-renormalization of the classical quasilocal energy. United States. doi:10.1103/PHYSREVD.75.084026.
Lundgren, Andrew P., Schmekel, Bjoern S., York, James W. Jr., Theoretical Astrophysics Center, University of California, Berkeley, California 94720, and Department of Physics, Cornell University, Ithaca, New York 14853. Sun . "Self-renormalization of the classical quasilocal energy". United States. doi:10.1103/PHYSREVD.75.084026.
@article{osti_21020395,
title = {Self-renormalization of the classical quasilocal energy},
author = {Lundgren, Andrew P. and Schmekel, Bjoern S. and York, James W. Jr. and Theoretical Astrophysics Center, University of California, Berkeley, California 94720 and Department of Physics, Cornell University, Ithaca, New York 14853},
abstractNote = {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 (QLE). The 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 holes. The energy is typically concentrated just inside the horizon, not at the central singularity.},
doi = {10.1103/PHYSREVD.75.084026},
journal = {Physical Review. D, Particles Fields},
number = 8,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}