2007/08/19 by Raymond Burston, R. B. Burston, Burston, R. B.
Earth and Planetary Sciences · Mathematics · Physics and Astronomy · #Amplitude #Classical mechanics #Computer science #Covariant transformation #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Geophysics and Gravity Measurements #Gravitation #Gravitational potential #Harmonic #Mathematical analysis #Mathematical physics #Mathematics #Physics #Pulsars and Gravitational Waves Research #Quantum mechanics #Series (stratigraphy) #Solar and Space Plasma Dynamics #Space (punctuation) #Spherical harmonics #gr-qc
paper · pdf · doi:10.48550/arxiv.0708.2558
arxiv created 2007/08/19 · openalex publication_date 2007/08/19 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
This is the second in a series of papers which considers first-order gauge-invariant and covariant gravitational perturbations to locally rotationally symmetric (LRS) class II space-times. This paper shows how to decouple a complex combination of the gravito-electromagnetic (GEM) 2-vectors with the 2-tensors describing the shear of the 2/3-sheets. An arbitrary harmonic expansion is then used along with an eigen-vector/value analysis of the first-order GEM system, analogous to the first paper in this series. This results in four real decoupled equations governing four real combinations of the harmonic amplitudes of the GEM 2-vectors and the (2/3-sheet) shear 2-tensors. Finally, these are categorized into polar and axial perturbations.