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Gravitational and Nongravitational Energy: The Need for Background Structures

Published online by Cambridge University Press:  01 January 2022

Abstract

The aim of this article is to discuss some aspects of the nature of gravitational energy within the general theory of relativity. Some aspects of the difficulties to ascribe the usual features of localization and conservation to gravitational energy are reviewed and considered in the light of the dual role of the dynamical gravitational field, which encodes both inertio-gravitational effects and the chronogeometrical structures of space-time. These considerations will lead us to discuss the fact that the very notion of energy—gravitational or not—is actually well defined in the theory only with respect to some background structure.

Type
Research Article
Copyright
Copyright © The Philosophy of Science Association

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Footnotes

I wish to thank José Luis Jaramillo, Brian Pitts, and Bryan Roberts for valuable exchanges on this topic. I also wish to thank the participants of the Southern California Philosophy of Physics Group meeting and the audience at the Philosophy of Science Association meeting. I am grateful to the Perimeter Institute—Australia Foundations (PIAF) collaboration for financial support. This research was also partly supported by the Swiss National Science Foundation (100011-124462/1).

References

Chang, Chia-Chen, and Nester, James M.. 1999. “Pseudotensors and Quasilocal Energy-Momentum.” Physical Review Letters 83:18971901.CrossRefGoogle Scholar
Giulini, Domenico. 2007. “Remarks on the Notions of General Covariance and Background Independence.” In Approaches to Fundamental Physics: An Assessment of Current Theoretical Ideas, ed. Seiler, E. and Stamatescu, I.-O., 105–22. Berlin: Springer.Google Scholar
Hoefer, Carl. 2000. “Energy Conservation in GTR.” Studies in History and Philosophy of Modern Physics 31 (2): 187–99.CrossRefGoogle Scholar
Jaramillo, José Luis, and Gourghoulhon, Eric. 2010. “Mass and Angular Momentum in General Relativity.” In Mass and Motion in General Relativity, ed. Blanchet, L., Spallicci, A., and Whiting, B.. Berlin: Springer.Google Scholar
Misner, Charles, Thorne, Kip, and Wheeler, John. 1973. Gravitation. San Francisco: W. H. Freeman.Google Scholar
Norton, John. 1985. “What Was Einstein's Principle of Equivalence?Studies in History and Philosophy of Science 16:203–46.CrossRefGoogle Scholar
Norton, John. 2000. “What Can We Learn about the Ontology of Space and Time from the Theory of Relativity?” PhilSci Archive, http://philsci-archive.pitt.edu/archive/00000138/.Google Scholar
Pitts, Brian J. 2010. “Gauge-Invariant Localization of Infinitely Many Gravitational Energies from All Possible Auxiliary Structures.” General Relativity and Gravitation 42:601–22.CrossRefGoogle Scholar
Szabados, László B. 2009. “Quasi-Local Energy-Momentum and Angular Momentum in General Relativity.” Living Reviews in Relativity 12, http://relativity.livingreviews.org/Articles/lrr-2009-4/.CrossRefGoogle ScholarPubMed
Trautman, Andrzej. 1962. “Conservation Laws in General Relativity.” In Gravitation: An Introduction to Current Research, ed. Witten, L., 169–98. New York: Wiley.Google Scholar
Wald, Robert. 1984. General Relativity. Chicago: University of Chicago Press.CrossRefGoogle Scholar