1996/03/31 by S. W. Hawking, S W Hawking, C. J. Hunter +1 · 98 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Boundary value problem #Covariant Hamiltonian field theory #Geometric Analysis and Curvature Flows #Gravitation #Gravitational field #Hamiltonian (control theory) #Hamiltonian formalism #Hamiltonian system #Noncommutative and Quantum Gravity Theories #gr-qc
paper · pdf · doi:10.1088/0264-9381/13/10/012
published in Classical and Quantum Gravity 13(10), 2735-2752 (IOP Publishing) · 23 pages, 1 figure, LaTeX. The action is altered to include a corner term which results in a different value for the non-orthogonal term. An additional appendix with Euclidean results is included. To appear in Class. Quant. Grav
arxiv created 1996/08/27 · openalex publication_date 1996/10/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
This paper generalizes earlier work on Hamiltonian boundary terms by omitting the requirement that the spacelike hypersurfaces intersect the timelike boundary orthogonally. The expressions for the action and Hamiltonian are calculated and the required subtraction of a background contribution is discussed. The new features of a Hamiltonian formulation with non-orthogonal boundaries are then illustrated in two examples.