Visualizing gravitational Bessel waves

0508296 - ÚPT 2020 RIV US eng J - Journal Article
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
R&D Projects: GA ČR(CZ) GA18-27546S; GA MŠMT(CZ) LO1212; GA MŠMT ED0017/01/01
Institutional support: RVO:68081731
Keywords : beams * diffraction * radiation
OECD category: Particles and field physics
Impact factor: 4.833, year: 2019
Method of publishing: Limited access
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.
Permanent Link: http://hdl.handle.net/11104/0299246