Behavior of higher modes of gravitational waves and gaugeinvariant density perturbations in Bianchi IX cosmological models
Abstract
The behavior of higher modes of gravitational waves is investigated in a Bianchi IX model, and an asymptotic analysis is performed for large values of the intrinsic magnetic quantum number of the angular momentum operator. The asymptotic equations fit naturally into the theory of the quantum motions of the rigid rotor. To investigate the interaction of gravitational waves and density perturbations, a gaugeinvariant density perturbation is constructed using the expansion of the gauge vector in Wigner functions. This extension of perturbations to anisotropic backgrounds may shed light on some cosmological problems.
 Publication:

The Astrophysical Journal
 Pub Date:
 November 1984
 DOI:
 10.1086/162611
 Bibcode:
 1984ApJ...286..379S
 Keywords:

 Cosmology;
 Gauge Theory;
 Gravitational Waves;
 Propagation Modes;
 Space Density;
 Astronomical Models;
 Asymptotic Methods;
 Hamiltonian Functions;
 Perturbation Theory;
 Astrophysics