On the choice of reference for the covariant Hamiltonian boundary term

James M. Nester, Chiang Mei Chen, Jian Liang Liu, Ming Fan Wu

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

Abstract

The Hamiltonian for dynamic geometry gravity theories generates the dynamical evolution of a spatial region along a time-like vector field. It includes a boundary term, which determines both the value of the Hamiltonian and the boundary conditions. From the value one obtains 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, which determine the ground state (with vanishing quasi-local values). 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. The quasi-local energy values for spherically symmetric metrics have been calculated.

Original languageEnglish
Title of host publicationProceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011
EditorsRoland Triay, Jean Tran Thanh Van, Ludwik M. Celnikier
PublisherThe Gioi Publishers
Pages272-276
Number of pages5
ISBN (Electronic)6047706193, 9786047706198
StatePublished - 2011
Event10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011 - Quy Nhon, Viet Nam
Duration: 15 Dec 201121 Dec 2011

Publication series

NameProceedings of the 10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011

Conference

Conference10th International conference on Gravitation, Astrophysics and Cosmology, ICGAC 2011
Country/TerritoryViet Nam
CityQuy Nhon
Period15/12/1121/12/11

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