Boundary Conditions from Boundary Terms, Noether Charges and the Trace K Lagrangian in General Relativity

General Relativity and Gravitation

Volumn 35, Issue 2, 2003, Pages 147-174

  Pons, Josep M ^a  

^a UNIVERSITY OF BARCELONA   (Spain)

Author keywords

ADM energy; Noether charge; Variational principle

Indexed keywords

EID: 0346497910     PISSN: 00017701     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022329007805     Document Type: Article

References (35)

1. Regge, T. and Teitelboim, C. (1974). Annals Phys. 88, 286.
2. Katz, J. 8th Marcel Grossmann Meeting on Recent Developments in Theoretical and Experimental General Relativity, Gravitation and Relativistic Field Theories (MG 8), Jerusalem, Israel, 22-27 June 1997.
3. Julia, B. and Silva, S. (1998). Class. Quant. Grav. 15, 2173 [arXiv:gr-qc/9804029].
4. Julia, B. and Silva, S. (2000). Class. Quant. Grav. 17, 4733 [arXiv:gr-qc/0005127].
5. Brown, J. D. and York, J. W. (1993). Phys. Rev. D 47, 1407.
6. Chen, C. M. and Nester, J. M. (1999). Class. Quant. Grav. 16, 1279 [arXiv:gr-qc/9809020].
7. Chang, C. C., Nester, J. M., and Chen, C. M. (1999). Phys. Rev. Lett. 83, 1897 [arXiv:gr-qc/9809040].
8. Chen, C. M. and Nester, J. M. (2000). Gravit. Cosmol. 6, 257 [arXiv:gr-qc/0001088].
9. Brown, J. D., Lau, S. R., and York, J. W. [gr-qc/0010024].
10. Dirac, P. A. M. (1958). Proc. Roy. Soc. (London) A 246, 333.
11. Gibbons, G. W. and Hawking, S. W. (1977). Phys. Rev. D 15, 2752.
12. York, J. W. (1972). Phys. Rev. Lett. 28, 1082.
13. Charap, J. M. and Nelson, J. E. (1983). J. Phys. A 16 1661.
14. York, J. W. (1986). Found. Phys. 16, 249.
15. Goldberg, J. N. (1988). Phys. Rev. D 37, 2116.
16. Hayward, G. (1993). Phys. Rev. D 47, 3275.
17. Hawking, S. W. and Horowitz, G. T. (1996). Class. Quant. Grav. 13, 1487 [gr-qc/9501014].
18. Hawking, S. W. and Hunter, C. J. (1996). Class. Quant. Grav. 13, 2735 [gr-qc/9603050].
19. Epp, R. J. and Mann, R. B. (1998). Mod. Phys. Lett. A 13, 1875 [gr-qc/9806004].
20. Fatibene, L., Ferraris, M., Francaviglia, M., and Raiteri, M. (2001). J. Math. Phys. 42, 1173 [arXiv:gr-qc/0003019].
21. Francaviglia, M. and Raiteri, M. (2002). Class. Quant. Grav. 19, 237 [arXiv:gr-qc/0107074].
22. Kijowski, J. (1997). Gen. Rel. Grav. 29, 307.
23. Kijowski, J. (1984). In Proc. Journées Relativistes (Torino 1983) S. Benenti et al., eds. (Pitagora Editrice, Bologna), p. 205.
24. Kijowski, J. (1986). In Gravitation, Geometry and Relativistic Physics (Springer Lecture Notes in Physics 212, Springer-Verlag, Berlin.
25. Arnowitt, R., Deser, S., and Misner, C. W. (1962). in Gravitation: An Introduction to Current Research. Edited by L. Witten (John Wiley & Sons, New York, 1962), 227-265.
26. Brown, J. D. and Henneaux, M. (1986). J. Math. Phys. 27, 489.
27. Faddeev, L. D. (1982). Sov. Phys. Usp. 25, 130.
28. Brill, D. (1992). Phys. Rev. D 46, 1560.
29. Marolf, D. (1995). Phys. Lett. B 349, 89 [arXiv:gr-qc/9411067].
30. Soloviev, V.O. (1993). J. Math. Phys. 34, 5747.
31. Pons, J. M., Salisbury, D. C., and Shepley, L. C. (2000). Phys. Rev. D 62, 064026 [gr-qc/9912085].
32. Sheikh-Jabbari, M. M. and Shirzad, A. (2001). Eur. Phys. J. C 19, 383 [hep-th/9907055].
33. Tulczyjev, W. M. (1974). Symposia mathematica 14, 247.
34. Menzio, M. R. and Tulczyjev, W. M. (1978). Ann. Inst. H. Poincaré 28, 349.
35. Kijowski, J. and Tulczyjev, W. M. (1979). A Symplectic Framework for field Theories (Lecture Notes in Physics 107, Springer-Verlag, Berlin.).