A Covariant Approach To Ashtekar's Canonical Gravity

Details A Covariant Approach To Ashtekar's Canonical Gravity A Covariant Approach To Ashtekar's Canonical Gravity

1996-08-10

arxiv.org/abs/gr-qc/9608026v1

Class.Quant.Grav. 14 (1997) 477-488

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Plain TeX

Scientific paper

10.1088/0264-9381/14/2/020

A Lorentz and general co-ordinate co-variant form of canonical gravity, using Ashtekar's variables, is investigated. A co-variant treatment due to Crnkovic and Witten is used, in which a point in phase space represents a solution of the equations of motion and a symplectic functional two form is constructed which is Lorentz and general co-ordinate invariant. The subtleties and difficulties due to the complex nature of Ashtekar's variables are addressed and resolved.

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