Canonical phase space formulation of quasi-local general relativity

Classical and Quantum Gravity

Volumn 20, Issue 21, 2003, Pages 4507-4531

  Booth, Ivan ^a   Fairhurst, Stephen ^b  

^a MEMORIAL UNIVERSITY OF NEWFOUNDLAND   (Canada)

^b UNIVERSITY OF ALBERTA   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0242427669     PISSN: 02649381     EISSN: None     Source Type: Journal    
DOI: 10.1088/0264-9381/20/21/001     Document Type: Article

References (39)

1. Arnowitt R, Deser S and Misner C W 1962 The dynamics of general relativity Gravitation: An Introduction to the Current Research ed L Witten (New York: Wiley)
2. Regge T and Teitelboim C 1974 Ann. Phys., NY 88 286
3. Wald R M 1984 General Relativity (Chicago, IL: University of Chicago Press)
4. Chen C M and Nester J M 2000 Grav. Cosmol. 6 257 Franoaviglia M and Raiteri M 2002 Class. Quantum Grav. 19 237 Anco S C and Tung R S 2002 J. Math. Phys. 43 5531
5. Chen C M and Nester J M 2000 Grav. Cosmol. 6 257 Franoaviglia M and Raiteri M 2002 Class. Quantum Grav. 19 237 Anco S C and Tung R S 2002 J. Math. Phys. 43 5531
6. Chen C M and Nester J M 2000 Grav. Cosmol. 6 257 Franoaviglia M and Raiteri M 2002 Class. Quantum Grav. 19 237 Anco S C and Tung R S 2002 J. Math. Phys. 43 5531
7. Kijowski J 1997 Gen. Rel. Grav. 29 307
8. Brown J D and York J W 1993 Phys. Rev. D 47 1407
9. Kuchař K V 1994 Phys. Rev. D 50 3961
10. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
11. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
12. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
13. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
14. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
15. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
16. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
17. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
18. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
19. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
20. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
21. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
22. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
23. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
24. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
25. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
26. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
27. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
28. Park M 2002 Nucl. Phys. B 634 339 Dehgani M H 2002 Phys. Rev. D 65 104030 Ghezelbash A M and Mann R B 2002 J. High Energy Phys. JHEP01(2002) 005 Strominger A 2001 J. High Energy Phys. JHEP10(2001)034 Epp R J 2000 Phys. Rev. D 62 124018 Booth I S and Creighton J D E 2000 Phys. Rev. D 62 067503 Mann R B 2000 Phys. Rev. D 61 084013 Kraus P K, Larsen F and Sieblink R 1999 Nucl. Phys. B 563 259 Balasubramanian V and Kraus P 1999 Commun. Math. Phys. 208 413 Booth I S and Mann R B 1999 Phys. Rev. 60 124009 Bose S and Dadhich N 1999 Phys. Rev. D 60 0604010 Lau S R 1999 Phys. Rev. D 60 104034 Booth I S and Mann R B 1998 Phys. Rev. Lett. 81 5052 Brill D R, Louko J and Peldan P 1997 Phys. Rev. D 56 3600 Brown J D, Lau S R and York J W 1997 Phys. Rev. D 55 1977 Creighton J D E and Mann R B 1996 Phys. Rev. D 54 7476 Chan K C K and Mann R B 1996 Phys. Lett. B 371 199 Brown J D, Creighton J and Mann R B 1994 Phys. Rev. D 50 6394 Martinez E A 1994 Phys. Rev. D 50 4920
29. Ashtekar A 1988 New Perspectives in Canonical Gravity (Naples: Bibliopolis)
30. Arnol'd V 11989 Mathematical Methods of Classical Mechanics (New York: Springer)
31. Kijowski J and Tulczyjew W M 1979 A Symplectic Framework for Field Theories (Lecture Notes in Physics No 107) (Berlin: Springer)
32. Booth I S and Mann R B 1999 Phys. Rev. D 59 064010
33. Booth I S 2000 A quasi-local Hamiltonian for gravity with classical and quantum applications PhD Thesis University of Waterloo (Preprint gr-qc/0008030)
34. Brown J D, Lau S R and York J W 2002 Ann. Phys., NY 297 175
35. Ashtekar A, Beetle C and Fairhurst S 1999 Class. Quantum Grav. 16 L1 Ashtekar A, Beetle C and Fairhurst S 2000 Class. Quantum Grav. 17 253 Ashtekar A et al 2000 Phys. Rev. Lett. 85 3564
36. Ashtekar A, Beetle C and Fairhurst S 1999 Class. Quantum Grav. 16 L1 Ashtekar A, Beetle C and Fairhurst S 2000 Class. Quantum Grav. 17 253 Ashtekar A et al 2000 Phys. Rev. Lett. 85 3564
37. Ashtekar A, Beetle C and Fairhurst S 1999 Class. Quantum Grav. 16 L1 Ashtekar A, Beetle C and Fairhurst S 2000 Class. Quantum Grav. 17 253 Ashtekar A et al 2000 Phys. Rev. Lett. 85 3564
38. Booth I and Fairhurst S Hamiltonian evolution of dynamical horizons, in preparation
39. Wald R M and Zoupas A 2000 Phys. Rev. D 61 084027