Work

Analytical and spectral characterization of floral patterns in higher-order polynomial pp-waves

Year: 2026

Type: preprint

Abstract: We investigate analytically and numerically the floral deformation of particle rings induced by higher-order polynomial modes of pp-waves. The transverse tidal eigendirections determine $m$ interlaced sectors of radial stretching and compression, while a weak-pulse solution provides the complete first-order response of the ring. Direct geodesic integration for $m=2,3,4$ confirms the predicted orientation and discrete symmetry. A Fourier analysis shows that the response remains overwhelmingly dominated by the angular mode $n=m$; in particular, the loops found for $m=4$ arise from geometrical folding of the fundamental mode rather than strong harmonic mixing. The temporal moments of the pulse further distinguish displacement from velocity memory without changing this angular signature.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2609.25459

Authors: Carneiro, F. L., de Carvalho, H. P., Cabral, L. A., Lobo, M. P.

Institution: Universidade Federal do Norte do Tocantins

Language: English

Topic: Pulsars and Gravitational Waves Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

Funders: Conselho Nacional de Desenvolvimento Científico e Tecnológico, Pró-Reitoria de Pesquisa, Universidade Federal do Rio Grande do Sul

OpenAlex ID: W7214112130

Cites: 4

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Related to: 10