Area is the length of Ashtekar's triad field

Details Area is the length of Ashtekar's triad field Area is the length of Ashtekar's triad field

Feb 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993phrvd..47.1703r&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 47, Issue 4, 15 February 1993, pp.1703-1705

Physics

15

Fundamental Problems And General Formalism

Scientific paper

The variables introduced by Ashtekar in general relativity have several useful and nice properties. We point out a further feature of these variables: the so(3)-invariant norm of the variable conjugate to Ashtekar's connection, namely, the inverse densitized triad or the analogue of the electric field, is the area two-form; that is, it is the two-form that gives physical area to any surface. The new variables naturally determine areas in the same way in which the metric tensor naturally determines lengths.

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