Note on the first law with p-form potentials

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 75, Issue 12, 2007, Pages

  Compère, Geoffrey ^a  

^a INTERNATIONAL SOLVAY INSTITUTES   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 34347382343     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.75.124020     Document Type: Article

References (37)

1. V. Iyer and R.M. Wald, Phys. Rev. D 50, 846 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.50.846
2. D. Sudarsky and R.M. Wald, Phys. Rev. D 46, 1453 (1992). PRVDAQ 0556-2821 10.1103/PhysRevD.46.1453
3. S. Gao, Phys. Rev. D 68, 044016 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.68.044016
4. R. Emparan, J. High Energy Phys. JHEPFG 1029-8479 03 (2004) 064. 10.1088/1126-6708/2004/03/064
5. K. Copsey and G.T. Horowitz, Phys. Rev. D 73, 024015 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.024015
6. D. Astefanesei and E. Radu, Phys. Rev. D 73, 044014 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.044014
7. M. Rogatko, Phys. Rev. D 72, 074008 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.074008
8. M. Rogatko, Phys. Rev. D 73, 024022 (2006). PRVDAQ 0556-2821 10.1103/PhysRevD.73.024022
9. G. Barnich and F. Brandt, Nucl. Phys. NUPBBO 0550-3213 B633, 3 (2002). 10.1016/S0550-3213(02)00251-1
10. G. Barnich, Classical Quantum Gravity CQGRDG 0264-9381 20, 3685 (2003). 10.1088/0264-9381/20/16/310
11. R. Arnowitt, S. Deser, and C. Misner, Gravitation, An Introduction to Current Research (Wiley, New York, 1962), chap., p. 227.
12. L.F. Abbott and S. Deser, Nucl. Phys. NUPBBO 0550-3213 B195, 76 (1982). 10.1016/0550-3213(82)90049-9
13. T. Regge and C. Teitelboim, Ann. Phys. (N.Y.) APNYA6 0003-4916 88, 286 (1974). 10.1016/0003-4916(74)90404-7
14. E.G. Gimon, A. Hashimoto, V.E. Hubeny, O. Lunin, and M. Rangamani, J. High Energy Phys. JHEPFG 1029-8479 08 (2003) 035. 10.1088/1126-6708/2003/08/035
15. V.E. Hubeny and M. Rangamani, Mod. Phys. Lett. A 18, 2699 (2003). MPLAEQ 0217-7323 10.1142/S0217732303012428
16. A. Hashimoto and L. Pando Zayas, J. High Energy Phys. JHEPFG 1029-8479 03 (2004) 014. 10.1088/1126-6708/2004/03/014
17. I. Anderson, Tech. Rep., " Formal Geometry and Mathematical Physics, " Department of Mathematics, Utah State University 1989 (unpublished).
18. G. Barnich, F. Brandt, and M. Henneaux, Phys. Rep. 338, 439 (2000). PRPLCM 0370-1573 10.1016/S0370-1573(00)00049-1
19. C.G. Torre, arXiv:hep-th/9706092.
20. M. Henneaux, B. Knaepen, and C. Schomblond, Commun. Math. Phys. 186, 137 (1997). CMPHAY 0010-3616
21. G. Barnich, F. Brandt, and M. Henneaux, Nucl. Phys. NUPBBO 0550-3213 B455, 357 (1995). 10.1016/0550-3213(95)00471-4
22. The conservation laws that we consider here are called dynamical because they explicitly involve the equations of motion. There exists also specific topological conservation laws, see e.g..
23. G. Barnich, F. Brandt, and M. Henneaux, Commun. Math. Phys. 174, 57 (1995). CMPHAY 0010-3616 10.1007/BF02099464
24. This correspondence is one-to-one for gauge parameters that may depend on the linearized fields φi and that satisfy δξ(x,φi),Λ(x, φi) i≈lin0, i.e. zero for solutions φi of the linearized equations of motion. However, it has been proven in that this φ-dependence is not relevant in the case of Einstein gravity. Such a dependence will not be considered here.
25. G. Barnich, arXiv:gr-qc/0211031.
26. S. Gao and R.M. Wald, Phys. Rev. D 64, 084020 (2001). PRVDAQ 0556-2821 10.1103/PhysRevD.64.084020
27. The relative sign difference between the definitions of δE and δJa trace its origin to the Lorentz signature of the metric.
28. J.M. Bardeen, B. Carter, and S.W. Hawking, Commun. Math. Phys. 31, 161 (1973). CMPHAY 0010-3616 10.1007/BF01645742
29. T. Jacobson, G. Kang, and R.C. Myers, Phys. Rev. D 49, 6587 (1994). PRVDAQ 0556-2821 10.1103/PhysRevD.49.6587
30. R.M. Wald, Phys. Rev. D 48, 3427 (1993). PRVDAQ 0556-2821 10.1103/PhysRevD.48.R3427
31. G. Compere, arXiv:gr-qc/0611129.
32. P.K. Townsend, arXiv:gr-qc/9707012.
33. J.P. Gauntlett, R.C. Myers, and P.K. Townsend, Classical Quantum Gravity CQGRDG 0264-9381 16, 1 (1999). 10.1088/0264-9381/16/1/001
34. R. Emparan and H.S. Reall, Classical Quantum Gravity CQGRDG 0264-9381 23, R169 (2006). 10.1088/0264-9381/23/20/R01
35. R.M. Wald and A. Zoupas, Phys. Rev. D 61, 084027 (2000). PRVDAQ 0556-2821 10.1103/PhysRevD.61.084027
36. C.G. Torre, Classical Quantum Gravity CQGRDG 0264-9381 12, L43 (1995). 10.1088/0264-9381/12/6/001
37. G. Barnich, S. Leclercq, and P. Spindel, Lett. Math. Phys. 68, 175 (2004). LMPHDY 0377-9017 10.1023/B:MATH.0000045554.71211.99