Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1998-09-08
Adv.Theor.Math.Phys. 3 (1999) 209-215
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
5 pages amstex, typos corrected
Scientific paper
An expression for the oscillatory part of an asymptotic formula for the relativistic spin network amplitude for a 4-simplex is given. The amplitude depends on specified areas for each two-dimensional face in the 4-simplex. The asymptotic formula has a contribution from each flat Euclidean metric on the 4-simplex which agrees with the given areas. The oscillatory part of each contribution is determined by the Regge calculus Einstein action for that geometry.
Barrett John W.
Williams Ruth M.
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