A reference for our 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

Abstract

Our covariant 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 using 4D isometric matching and extremizing the energy to determine the “best matched” reference metric and connection values.

Original languageEnglish
Title of host publicationOn Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories
EditorsKjell Rosquist, Robert T. Jantzen, Remo Ruffini, Remo Ruffini
PublisherWorld Scientific
Pages1877-1879
Number of pages3
Edition210699
ISBN (Print)9789814612142
DOIs
StatePublished - 2015
Event13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012 - Stockholm, Sweden
Duration: 1 Jul 20157 Jul 2015

Publication series

NameThe 13th Marcel Grossmann Meeting: On Recent Developments in Theoretical and Experimental General Relativity, Astrophysics and Relativistic Field Theories - Proceedings of the MG13 Meeting on General Relativity, 2012
Number210699

Conference

Conference13th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation, and Relativistic Field Theories, MG13 2012
Country/TerritorySweden
CityStockholm
Period1/07/157/07/15

Keywords

  • Boundary term
  • Covariant Hamiltonian
  • Quasi-local energy
  • Reference

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