2000/08/23 by Luis Bento, Luı́s Bento, José P. S. Lemos +1 · 2 citations
Biochemistry, Genetics and Molecular Biology · Earth and Planetary Sciences · Physics and Astronomy · #Classical mechanics #Geomagnetism and Paleomagnetism Studies #Geophysics and Gravity Measurements #Gravitational wave #Helicity #Instability #Matter wave #Mechanics #Perturbation (astronomy) #Physics #Quantum electrodynamics #Quantum mechanics #Solar and Space Plasma Dynamics #Wavelength #Wavenumber #astro-ph #gr-qc #hep-th
paper · pdf · doi:10.1088/0264-9381/17/18/102
published in Classical and Quantum Gravity 17(18), L117-L124 (IOP Publishing) · 12 pages, latex, 1 figure ps file, final version to appear in CQG
openalex publication_date 2000/08/23 · arxiv created 2000/08/31 · arxiv updated 2010/04/06 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/08
It is shown that the interaction of helicity-1 waves of gravity and matter in a thin slab configuration produces new types of instabilities. Indeed, a spin-2 helicity-1 mode interacts strongly with the shear motion of matter. This mode is unstable above a critical wavelength, λ c = (π c 2 /2 G ρ) 1/2 . This should be compared with Jeans wavelength, λ J = (π c s 2 / G ρ) 1/2 , where c s is the sound speed. The two instabilities are of course different. For the case analysed, a plane parallel configuration, Jeans instability appears through a density wave perturbation, the material collapsing into a set of plane-parallel slabs. On the other hand, the helicity-1 wave instability induces a transverse motion in the fluid that tends to shear in the material along the node of the perturbation.