Covariant phase space with boundaries. (English) Zbl 1461.83007
This paper generalizes the approach of Iyer, Lee, Wald, and Zoupas (see [R. M. Wald and A. Zoupas, Phys. Rev. D (3) 61, No. 8, Article ID 084027, 16 p. (2000; Zbl 1136.83317)] and references therein) to understand the Hamiltonian dynamics of Lagrangian field theories without breaking covariance, to the case in the presence of boundaries. Examples are studied. It is also shown that the Poisson bracket on covariant phase space coincides with the Peirels brackets. The developments may remove obstacles to the application of the framework for the computation of the entropy of dynamical black holes.
Reviewer: Jorge Pullin (Baton Rouge)
MSC:
| 83C05 | Einstein’s equations (general structure, canonical formalism, Cauchy problems) |
| 83C57 | Black holes |
| 70H40 | Relativistic dynamics for problems in Hamiltonian and Lagrangian mechanics |
| 81P17 | Quantum entropies |
| 81T35 | Correspondence, duality, holography (AdS/CFT, gauge/gravity, etc.) |
Keywords:
classical theories of gravity; AdS-CFT correspondence; entropy of dynamical black hole horizonsCitations:
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