A reference for the covariant hamiltonian boundary term

James M. Nester, Chiang Mei Chen, Jian Liang Liu, Gang Sun

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

11 Scopus citations


The Hamiltonian for dynamic geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which determines both the value of the Hamiltonian and the boundary conditions. The value gives the quasi-local quantities: energy-momentum, angular-momentum/center-of-mass. The boundary term depends not only on the dynamical variables but also on their reference values; the latter determine the ground state (having vanishing quasi-local quantities). For our preferred boundary term for Einstein’s GR we propose 4D isometric matching and extremizing the energy to determine the reference metric and connection values.

Original languageEnglish
Title of host publicationRelativity and Gravitation - 100 years after Einstein in Prague
EditorsJiří Bičák, Tomáš Ledvinka, Jiří Bičák, Jiří Bičák
PublisherSpringer Science and Business Media, LLC
Number of pages8
ISBN (Electronic)9783319067605
StatePublished - 2014
EventInternational conference on Relativity and Gravitation, 2012 - Prague, Czech Republic
Duration: 25 Jun 201229 Jun 2012

Publication series

NameSpringer Proceedings in Physics
ISSN (Print)0930-8989
ISSN (Electronic)1867-4941


ConferenceInternational conference on Relativity and Gravitation, 2012
Country/TerritoryCzech Republic


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