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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.

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Jürgen Renn Lindy Divarci Petra Schröter Abhay Ashtekar Robert S. Cohen Don Howard Sahotra Sarkar Abner Shimony

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© 2003 Springer Science+Business Media Dordrecht

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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

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  • 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

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