Classification of surface charges for a spin 2 field on a curved background solution

Letters in Mathematical Physics

Volumn 68, Issue 3, 2004, Pages 175-181

  Barnich, Glenn ^a,c   Leclercq, Serge ^b   Spindel, Philippe ^b  

^a UNIVERSITÉ LIBRE DE BRUXELLES   (Belgium)

^b UNIVERSITY OF MONS   (Belgium)

^c FUND FOR SCIENTIFIC RESEARCH   (Belgium)

Author keywords

Characteristic cohomology; Spin 2 fields; Surface charges

Indexed keywords

EID: 16844382141     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:MATH.0000045554.71211.99     Document Type: Article

References (20)

1. Olver, P.: Applications of Lie Groups to Differential Equations, Spinger-Verlag, New York, 2nd edn, 1993, 1st edn, 1986.
2. Saunders, D. J.: The Geometry of Jet Bundles, Cambridge University Press, 1989.
3. Anderson, I.: Introduction to the variational bicomplex, In: M. Gotay, J. Marsden, and V. Moncrief (eds), Mathematical Aspects of Classical Field Theory, Contemp. Math. 132, Amer. Math. Soc., Providence, pp. 51-73, 1992.
4. Anderson, I. The variatonal bicomplex, Tech. rep., Formal Geometry and Mathematical Physics, Department of Mathematics, Utah State University, 1989.
5. Vinogradov, A. M.: A spectral sequence associated with a nonlinear differential equation and algebra-geometric foundations of Lagrangian field theory with constraints, Soviet Math. Dokl. 19 (1978), 144.
6. Tsujishita, T.: On variational bicomplexes associated to differential equations, Osaka J. Math. 19 (1982), 311.
7. Vinogradov, A. M.: The C-spectral sequence, Lagrangian formalism, and conservation laws. 1. The linear theory. II. The nonlinear theory, J. Math. Anal. Appl. 100 (1984), 1.
8. Bryant, R. L. and Griffiths, P. A.: Characteristic cohomology of differential systems I: General theory, J. Amer. Math. Soc. 8 (1995), 507.
9. Anderson, I. M.: and Torre, C. G.: Asymptotic conservation laws in field theory, Phys. Rev. Lett. 77 (1996), 4109-4113, hep-th/9608008.
10. Abbott L. F. and Deser, S.: Stability of gravity with a cosmological constant, Nuclear Phys. B 195 (1982), 76.
11. Barnich, G. and Brandt, F.: Covariant theory of asymptotic symmetries, conservation laws and central charges, Nuclear Phys. B 633 (2002), 3-82, hep-th/0111246.
12. Iyer, V. and Wald, R. M.: Some properties of Noether charge and a proposal for dynamical black hole entropy, Phys. Rev. D 50 (1994), 846-864, gr-qc/9403028.
13. Barnich, G.: Boundary charges in gauge theories: Using Stokes theorem in the bulk, Classical Quantum Gravity 20 (2003), 3685-3698, hep-th/0301039.
14. Barnich, G. and Henneaux, M.: Consistent couplings between fields with a gauge freedom and deformations of the master equation, Phys. Lett. B 311 (1993), 123-129, hep-th/9304057.
15. Stasheff, J.: Deformation theory and the Batalin-Vilkovisky master equation, q-alg/9702012.
16. Henneaux, M.: Consistent interactions between gauge fields: The cohomological approach, In: A. V. M. Henneaux, and J. Krasil'shchik (eds), Secondary Calculus and Cohomological Physics, Contemp. Math., 219, Amer. Math. Soc., Providence, 1997, pp. 93-109, hep-th/9712226.
17. Berends, F. A., Burgers, G. J. H., and van Dam, H.: On the theoretical problems in constructing interactions involving higher spin massless particles, Nuclear Phys. B 260 (1985), 295.
18. Barnich, G. Brandt, F. and Henneaux, M.: Local BRST cohomology in the antifield formalism. I. General theorems, Comm. Math. Phys. 174 (1995), 57-92, hep-th/9405109.
19. Boulanger, N., Damour, T., Gualtieri, L., and Henneaux, M.: Inconsistency of interacting, multigraviton theories, Nuclear Phys. B 597 (2001), 127-171, hep-th/0007220.
20. Barnich, G., Brandt, F., and Henneaux, M.: Local BRST cohomology in gauge theories, Phys. Rep. 338 (2000), 439-569, hep-th/0002245.