Visualizing gravitational Bessel waves

0508296 - ÚPT 2020 RIV US eng J - Článek v odborném periodiku
Paták, Aleš - Zouhar, Martin - Řiháček, Tomáš - Brzobohatý, Oto - Gersl, J. - Campbell, A.C.
Visualizing gravitational Bessel waves.
Physical Review D. Roč. 100, č. 4 (2019), č. článku 044050. ISSN 2470-0010. E-ISSN 2470-0029
Grant CEP: GA ČR(CZ) GA18-27546S; GA MŠMT(CZ) LO1212; GA MŠMT ED0017/01/01
Institucionální podpora: RVO:68081731
Klíčová slova: beams * diffraction * radiation
Obor OECD: Particles and field physics
Impakt faktor: 4.833, rok: 2019
Způsob publikování: Omezený přístup
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.100.044050

We explicitly derive a vortex inspired solution for the metric perturbation within the linearized Einstein general theory of relativity in arbitrary dimensions D >= 4. We focus on D = 4 where our solution is the gravitational analog of the well-known electromagnetic (or electron) Bessel vortex beams. Next we visualize the perturbed spacetime via tidal tendexes and frame-drag vortexes. We display and analyze mostly two-dimensional sections of the tendexes and the vortexes for different values of an angular momentum of the wave solution. Corresponding geodesic deviation equations are solved and the results are visualized. We show that the physically most important quadrupolelike case leads to a wave with rotating polarization. We discuss asymptotical features of the found solution. We provide also several 3D plots of tendex lines. One of them concerns a special cylindrical-like case and we utilize the topological classification of singularities of the depicted line fields as an approach to characterize the radiation field.
Trvalý link: http://hdl.handle.net/11104/0299246