Gravitational energy for GR and Poincar� gauge theories: A covariant Hamiltonian approach

Please use this identifier to cite or link to this item: https://ir.lib.ncu.edu.tw/handle/987654321/104861

Title:	Gravitational energy for GR and Poincar� gauge theories: A covariant Hamiltonian approach
Authors:	陳江梅;Chen, Chiang-Mei;Nester, James M.;Tung, Roh-Suan
Contributors:	理學院物理學系
Keywords:	Angular momentum;Boundary conditions;Curvature;Energy;Gauge theory;Gravitation theory;Relativity;Spacetime
Date:	2015-10-01
Issue Date:	2026-04-23 12:00:00 (UTC+8)
Publisher:	World Scientific Publishing Co. Pte Ltd;Singapore: World Scientific Publishing Company
Abstract:	摘要： Our topic concerns a long standing puzzle: The energy of gravitating systems. More precisely we want to consider, for gravitating systems, how to best describe energy–momentum and angular momentum/center-of-mass momentum (CoMM). It is known that these quantities cannot be given by a local density. The modern understanding is that (i) they are quasi-local (associated with a closed 2-surface), (ii) they have no unique formula, (iii) they have no reference frame independent description. In the first part of this work, we review some early history, much of it not so well known, on the subject of gravitational energy in Einstein's general relativity (GR), noting especially Noether's contribution. In the second part, we review (including some new results) much of our covariant Hamiltonian formalism and apply it to Poincaré gauge theories of gravity (PG), with GR as a special case. The key point is that the Hamiltonian boundary term has two roles, it determines the quasi-local quantities, and furthermore, it determines the boundary conditions for the dynamical variables. Energy–momentum and angular momentum/CoMM are associated with the geometric symmetries under Poincaré transformations. They are best described in a local Poincaré gauge theory. The type of spacetime that naturally has this symmetry is Riemann–Cartan spacetime, with a metric compatible connection having, in general, both curvature and torsion. Thus our expression for the energy–momentum of physical systems is obtained via our covariant Hamiltonian formulation applied to the PG. 出版者： Singapore: World Scientific Publishing Company 出版日期： 2015-10 出處： International journal of modern physics. D, Gravitation, astrophysics, cosmology, 2015-10, Vol.24 (11), p.1530026 版權： 2015, World Scientific Publishing Company 版權： 2015. World Scientific Publishing Company 識別號： ISSN: 0218-2718 識別號： EISSN: 1793-6594 識別號： DOI: 10.1142/S0218271815300268
Appears in Collections:	[Department of Physics] journal & Dissertation

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