Phase space of general relativity revisited: A canonical choice of time and simplification of the Hamiltonian

DOI10.1063/1.526317zbMath0566.70017OpenAlexW2089391665MaRDI QIDQ3681988

Gary T. Horowitz, Abhay Ashtekar

Publication date: 1984

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.526317

zbMATH Keywords

Hamiltoniansspinor fieldelliptic differential equationasymptotically flat gravitational fieldslapse and shift fieldspreferred timerelativistic asymptotically flat initial data

Mathematics Subject Classification ID

Asymptotic procedures (radiation, news functions, (mathcal{H} )-spaces, etc.) in general relativity and gravitational theory (83C30) Generalized coordinates; event, impulse-energy, configuration, state, or phase space for problems in mechanics (70G10)

Related Items (6)

On the Hamiltonian of general relativity ⋮ Dominant energy conditions and Sen-Witten special orthonormal frame ⋮ Equivalence of the spinor and tensor methods in the positive energy problem ⋮ Quasi-local gravitational angular momentum and centre of mass from generalised Witten equations ⋮ The rest-frame instant form of metric gravity. ⋮ An approach to stability analyses in general relativity via symplectic geometry

Cites Work

• Nonlinear gravitons and curved twistor theory
• A new proof of the positive energy theorem.
• Existence theorem for solutions of Witten’s equation and nonnegativity of total mass
• On the existence of neutrino ’’zero-modes’’ in vacuum spacetimes

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