Local Cohomology in Field Theory (with Applications to the Einstein Equations)
作者： Charles G. Torre
DOI:
关键词:
摘要: This is an introductory survey of the theory $p$-form conservation laws in field theory. It based upon a series lectures given at Second Mexican School on Gravitation and Mathematical Physics held Tlaxcala, Mexico from December 1--7, 1996. Proceedings available online this http URL
参考文章(16)
Ian M. Anderson, Introduction to the Variational Bicomplex ,vol. 132, ,(1992)
D. J. Saunders, The Geometry of Jet Bundles ,(1989)
Peter J. Olver, Applications of Lie Groups to Differential Equations ,(1986)
Jerrold E. Marsden, Arthur E. Fischer, The initial value problem and the dynamical formulation of general relativity graphics recognition. pp. 138- 211 ,(1979)
Raoul Bott, Loring W. Tu, Differential Forms in Algebraic Topology ,(1982)
Ian M. Anderson, Charles G. Torre, Asymptotic Conservation Laws in Classical Field Theory Physical Review Letters. ,vol. 77, pp. 4109- 4113 ,(1996) , 10.1103/PHYSREVLETT.77.4109
Robert M. Wald, On identically closed forms locally constructed from a field Journal of Mathematical Physics. ,vol. 31, pp. 2378- 2384 ,(1990) , 10.1063/1.528839
Tracy Yerkes Thomas, The Differential Invariants of Generalized Spaces ,(1991)
David Finkelstein, Charles W Misner, Some new conservation laws Annals of Physics. ,vol. 6, pp. 230- 243 ,(1959) , 10.1016/0003-4916(59)90080-6
Tullio Regge, Claudio Teitelboim, Role of surface integrals in the Hamiltonian formulation of general relativity Annals of Physics. ,vol. 88, pp. 286- 318 ,(1974) , 10.1016/0003-4916(74)90404-7