Abstract
An expression for quasi-local energy is suggested. The calculation looks locally at an Alexandrov neighborhood whose boundary is defined by the intersection of the future and past cones from nearby time-like separated points. The calculation uses the canonical formalism on a null cone and defines the quasi-local energy as a two-surface integral over the convergence of the past cone minus a similar integral over a surface in Minkowski space. This definition is suggested by the results of an analysis at null infinity.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Ashtekar, A. 1991. Lectures on Non-perturbative Canonical Gravity (notes prepared in collaboration with R. Tate). Singapore: World Scientific.
Bondi, H., M. Van Der Berg, and A. Metzner. 1962. Proc. Roy. Soc. A 269:21.
Brown, D., and J. York. 1993. Phys. Rev. D47:1407.
Brown, J. D., S. R. Lau, and J. York. preprint gr-qc/9810003.
d’Invemo, R., and J. Vickers. 1995. Class. Quantum Grav, 12:753.
Dougan, A. J., and L. Mason. 1991. Phys. Rev. Lett. 67:2119.
Goldberg, J. N., D. C. Robinson, and C. Soteriou. 1992. Class. Quantum Grav. 9:1309.
Goldberg, J. N., and C. Soteriou. 1995. Class. Quantum Grav. 12:2779.
Hayward, G. 1993. Phys. Rev. D 47:3275.
Newman, E. T., and R. Penrose. 1962. J. Math. Phys. 3:566.
Penrose, R. 1982. Proc. Roy. Soc. A 381:53.
Penrose, R., and W. Rindler. 1986. Spinors and Space-Time. Cambridge: Cambridge University Press.
Sachs, R. 1962. Proc. Roy. Soc. A 270:103.
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 2003 Springer Science+Business Media Dordrecht
About this chapter
Cite this chapter
Goldberg, J.N. (2003). Quasi-Local Energy. In: Renn, J., et al. Revisiting the Foundations of Relativistic Physics. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0111-3_17
Download citation
DOI: https://doi.org/10.1007/978-94-010-0111-3_17
Publisher Name: Springer, Dordrecht
Print ISBN: 978-1-4020-1285-3
Online ISBN: 978-94-010-0111-3
eBook Packages: Springer Book Archive