Journal ArticleDOI
The dynamics of the Einstein-Dirac system. I. A principal bundle formulation of the theory and its canonical analysis
TLDR
In this article, a mathematical analysis of the space of globally hyperbolic solutions of the Einstein-Dirac field equations is presented, which is useful for controlling their gauge freedom and for studying the symmetries of solutions.About:
This article is published in Annals of Physics.The article was published on 1985-10-01. It has received 15 citations till now. The article focuses on the topics: Frame bundle & Spinor field.read more
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Momentum maps and classical relativistic fields. Part 1: Covariant Field Theory
TL;DR: In this article, the Lagrangian and Hamiltonian structure of classical field theories with constraints is studied, and the connections between initial value constraints and gauge transformations in such theories are explored.
Book ChapterDOI
The Cauchy problem for the Einstein equations
Helmut Friedrich,Alan D. Rendall +1 more
TL;DR: In this paper, various aspects of the Cauchy problem for the Einstein equations are surveyed, with the emphasis on local solutions of the evolution equations, and a clear explanation of conceptual issues which arise in this context.
Journal ArticleDOI
Review: Dirac's Observables for the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge
TL;DR: In this paper, the rest-frame instant form of tetrad gravity restricted to Christodoulou-Klainermann spacetimes was defined and solved by solving the multitemporal equations associated with the rotation and space diffeomorphism constraints.
Journal ArticleDOI
Dirac's Observables for the Rest-Frame Instant Form of Tetrad Gravity in a Completely Fixed 3-Orthogonal Gauge
TL;DR: In this article, the authors define the rest-frame instant form of tetrad gravity restricted to Christodoulou-Klainermann spacetimes and solve the multitemporal equations associated with the rotation and space diffeomorphism constraints.
Journal Article
On the determination of Cauchy surfaces from intrinsic properties
TL;DR: In this paper, the authors consider the problem of determining from intrinsic properties whether or not a given spacelike surface is a Cauchy surface, and derive necessary and sufficient conditions for a compact surface to be a CA in a spacetime which admits one.
References
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Journal ArticleDOI
Linearization stability of the Einstein equations
TL;DR: In this paper, it was shown that under certain geometrical conditions on the background solution the problem can be answered affirmatively; however, in certain exceptional cases the answer may be negative.
Journal ArticleDOI
The canonical formulation of supergravity
TL;DR: The Hamiltonian for the theory of supergravity is computed with the freedom of arbitrary Lorentz rotations maintained throughout as mentioned in this paper, and the connection between supersymmetry and derivative coupling are made particularly clear in the calculation.
Journal ArticleDOI
Hamiltonian formulation of the theory of interacting gravitational and electron fields
J.E Nelson,Claudio Teitelboim +1 more
TL;DR: In this paper, the action which describes the interaction of gravitational and electron fields is expressed in canonical form, and the corresponding Hamiltonian constraints are derived and their (Dirac) bracket relations given.
Journal ArticleDOI
Linearization stability of gravitational and gauge fields
TL;DR: In this paper, conditions for the linearization stability of the Yang-Mills and the Einstein-Yang-mills equations on a spacetime with a compact Cauchy surface are given.