Tensorial Spin-s Harmonics

Details Tensorial Spin-s Harmonics Tensorial Spin-s Harmonics

2005-08-08

arxiv.org/abs/gr-qc/0508028v1

Class.Quant.Grav. 23 (2006) 497-510

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

10.1088/0264-9381/23/2/014

We show how to define and go from the spin-s spherical harmonics to the tensorial spin-s harmonics. These quantities, which are functions on the sphere taking values as Euclidean tensors, turn out to be extremely useful for many calculations in General Relativity. In the calculations, products of these functions, with their needed decompositions which are given here, often arise naturally.

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