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A Reference for the Gravitational Hamiltonian Boundary Term
Sun, Gang1; Chen, Chiang-Mei2,3; Liu, Jian-Liang4; Nester, James M.2,3,5,6
2015-11-01
Source PublicationCHINESE JOURNAL OF PHYSICS
ISSN0577-9073
Volume53Issue:6Pages:9
AbstractThe Hamiltonian for physical systems and dynamic spacetime geometry generates the evolution of a spatial region along a vector field. It includes a boundary term which not only determines the value of the Hamiltonian, but also, via the boundary term in the variation of the Hamiltonian, the boundary conditions. The value of the Hamiltonian comes from its boundary term; it gives the quasi-local quantities: energy-momentum and angular-momentum/center-of-mass momentum. This boundary term depends not only on the dynamical variables but also on their reference values; these reference values determine the ground state the state having vanishing quasi-local quantities. Here our concern is with how to select on the quasi-local two-boundary the reference value. To determine the "best matched" reference metric and connection values for our preferred boundary term for Einstein's general relativity, we propose on the boundary two-surface (i) four dimensional isometric matching, and (ii) extremizing the value of the energy.
DOI10.6122/CJP.20150819
Language英语
Funding ProjectMinistry of Science and Technology of the R.O.C.[NSC-101-2112-M-008-006] ; Ministry of Science and Technology of the R.O.C.[NSC 99-2112-M-008-005-MY3] ; Ministry of Science and Technology of the R.O.C.[MOST 102-2112-M-008-015-MY3] ; National Center of Theoretical Sciences (NCTS)
WOS Research AreaPhysics
WOS SubjectPhysics, Multidisciplinary
WOS IDWOS:000368248900008
PublisherPHYSICAL SOC REPUBLIC CHINA
Citation statistics
Cited Times:4[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/21760
Collection中国科学院数学与系统科学研究院
Affiliation1.Beijing Univ Technol, Inst Theoret Phys, Beijing 100124, Peoples R China
2.Natl Cent Univ, Dept Phys, Chungli 320, Taiwan
3.Natl Cent Univ, Ctr Math & Theoret Phys, Chungli 320, Taiwan
4.Chinese Acad Sci, Acad Math & Syst Sci, Morningside Ctr Math, Beijing 100190, Peoples R China
5.Natl Cent Univ, Grad Inst Astron, Chungli 320, Taiwan
6.Natl Taiwan Univ, Leung Ctr Cosmol & Particle Astrophys, Taipei 10617, Taiwan
Recommended Citation
GB/T 7714
Sun, Gang,Chen, Chiang-Mei,Liu, Jian-Liang,et al. A Reference for the Gravitational Hamiltonian Boundary Term[J]. CHINESE JOURNAL OF PHYSICS,2015,53(6):9.
APA Sun, Gang,Chen, Chiang-Mei,Liu, Jian-Liang,&Nester, James M..(2015).A Reference for the Gravitational Hamiltonian Boundary Term.CHINESE JOURNAL OF PHYSICS,53(6),9.
MLA Sun, Gang,et al."A Reference for the Gravitational Hamiltonian Boundary Term".CHINESE JOURNAL OF PHYSICS 53.6(2015):9.
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