Quasi-local energy for cosmological models

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

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

1 Scopus citations

Abstract

Our covariant Hamiltonian formalism gives a certain preferred Hamiltonian boundary term for quasi-local quantities which depends on the boundary conditions, plus a reference and displacement vector choice. With appropriate choices we found the quasi-local energy for the cosmological models. Homogeneous choices give vanishing energy for all regions of Bianchi class A models and positive energy for class B. Isotropic choices give energies proportional to the curvature parameter k: ie, vanishing for the flat case, positive for the closed model and negative(!) for the open model. Our values are consistent with the requirement that the energy vanishes for closed models. We have some conclusions regarding the best reference choice and two quasi-local desiderata: positivity and zero energy iff Minkowski space.

Original languageEnglish
Title of host publication11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity
PublisherWorld Scientific Publishing Co. Pte Ltd
Pages2149-2151
Number of pages3
ISBN (Print)9812834265, 9789812834263
DOIs
StatePublished - 2008
Event11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006 - Berlin, Germany
Duration: 23 Jul 200629 Jul 2006

Publication series

Name11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories - Proc. of the MG11 Meeting on General Relativity

Conference

Conference11th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories, MG 2006
Country/TerritoryGermany
CityBerlin
Period23/07/0629/07/06

Keywords

  • Cosmology
  • Hamiltonian
  • Quasi-local energy

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