Total intrinsic spin for plane gravity waves

Details Total intrinsic spin for plane gravity waves Total intrinsic spin for plane gravity waves

1997-03-28

arxiv.org/abs/gr-qc/9703086v1

Phys.Rev.D56:3485-3489,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

14 pages; LaTex

Scientific paper

10.1103/PhysRevD.56.3485

A quantity which measures total intrinsic spin along the z axis is constructed for planar gravity (fields dependent on z and t only), in both the Ashtekar complex connection formalism and in geometrodynamics. The total spin is conserved but (surprisingly) is not a surface term. This constant of the motion coincides with one of four observables previously discovered by Husain and Smolin. Two more of those observables can be interpreted physically as raising and lowering operators for total spin.

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