A general covariant symplectic structure from conservation laws

Modern Physics Letters A

Volumn 20, Issue 4, 2005, Pages 251-262

  Basini, Giuseppe ^a   Capozziello, Salvatore ^b  

^a INFN LABORATORI NAZIONALI DI FRASCATI   (Italy)

^b INFN SEZIONE DI NAPOLI   (Italy)

Author keywords

Affine connections; Conservation laws; General covariance; Symplectic structure

Indexed keywords

EID: 23344450206     PISSN: 02177323     EISSN: None     Source Type: Journal    
DOI: 10.1142/S0217732305016543     Document Type: Article

References (18)

1. R. Wald, General Relativity (Chicago Univ. Press, 1984).
2. A. Palatini, Rend. Circ. Mat. Pal. 43, 203 (1919).
3. R. Arnowitt, S. Deser and C. W. Misner, Phys. Rev. 113, 745 (1959);
4. R. Arnowitt, S. Deser and C. W. Misner, Phys. Rev. ibid. 117, 1595 (1960);
5. C. W. Misner, K. S. Thorne and J. W. Wheeler, Gravitation (W. H. Freeman and Co., 1970).
6. D. H. Sattinger and O. L. Weaver, Lie Groups and Algebras with Applications to Physics, Geometry and Mechanics (Springer-Verlag, 1986).
7. J. J. Sakurai, Modern Quantum Mechanics, revised edn. (Addison-Wesley, 1994).
8. C. Itzykson and J. B. Zuber, Quantum Field Theory (McGraw-Hill, 1980).
9. M. Kaku, Quantum Field Theory (Oxford Univ. Press, 1993).
10. N. Birrell and P. C. Davies, Quantum Fields in Curved Space (Cambridge Univ. Press, 1984).
11. C. Lanczos, The Variational Principles of Mechanics (Toronto Univ. Press, 1949).
12. E. Schwinger, Phys. Rev. 82, 914 (1951);
13. E. Schwinger, Phys. Rev. ibid. 91, 713 (1953).
14. G. Basini and S. Capozziello, Europhys. Lett. 63, 166 (2003).
15. G. Basini and S. Capozziello, Gen. Rel. Grav. 35, 2217 (2003).
16. G. Basini and S. Capozziello, La Riv. del N. Cimento 26, No. 11 (2003).
17. G. Basini and S. Capozziello, Gen. Rel. Grav. 37, Issue 1 (2005).
18. L. D. Landau and E. M. Lifshitz, Theorie du Champs (Mir, 1960).