Journal ArticleDOI
On the symplectic formalism for general relativity
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In this paper, a covariant formalism for the hamiltonian formulation of general relativity in arbitrary dimensions is presented, where the basic variables are taken to be a soldering form and a torsion-free connection on an SO (p, q )-bundle over the space-time manifold.Abstract:
A covariant formalism for the hamiltonian formulation of general relativity in arbitrary dimensions is presented. Specifically, a presymplectic form on the solution space for the vacuum equations in n dimensions is given. The basic variables are taken to be a soldering form and a torsion-free connection on an SO ( p , q )-bundle over the space-time manifold M . It is shown how the present formalism is related to the standard ADM-formalism.read more
Citations
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Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in GR: A Review Article
TL;DR: The present status of the quasi-local mass-energy-momentum and angular momentum constructions in general relativity is reviewed.
Journal ArticleDOI
Quasi-Local Energy-Momentum and Angular Momentum in General Relativity.
TL;DR: The present status of the quasi-local mass, energy-Momentum and angular-momentum constructions in general relativity is reviewed.
Book ChapterDOI
The Representation of Time and Change in Mechanics
TL;DR: In this paper, the authors focus on the representation of time and change in classical (i.e., non-quantum) physical theories and attempt to clarify the nature and scope of the so-called problem of time.
Journal ArticleDOI
Discrete differential forms in general relativity
TL;DR: In this article, the authors formulate the Einstein equations as an exterior system in terms of differential forms, which can be used to interpret the variables and equations in a discrete setting as discrete differential forms.
Journal ArticleDOI
Covariant phase space for gravity with boundaries: Metric versus tetrad formulations
Juan Margalef-Bentabol,Juan Margalef-Bentabol,Valle Varo,Valle Varo,Eduardo J. S. Villaseñor,Eduardo J. S. Villaseñor +5 more
TL;DR: In this article, the tetrad formulation of general relativity in a manifold with boundary and covariant phase space methods were compared and the results obtained in both approaches were shown to be equivalent.
References
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Covariant description of canonical formalism in geometrical theories
Cedomir Crnkovic,Edward Witten +1 more
Book
Mechanics, analysis and geometry: 200 years after Lagrange.
TL;DR: In this article, the average procedure for the soliton-like solutions of integrable systems is described, and a new topological invariant of topological Hamiltonian systems of differential equations and applications to problems in physics and mechanics are discussed.