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Novel way to construct spatially localized finite energy structures

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Abstract

In this work, we introduce a procedure to find localized structures with finite energy. We start dealing with global monopoles, and add a new contribution to the potential of the scalar fields, to balance the contribution of the angular gradients of the fields which lead to a slow falloff in the energy density. Within the first-order formalism, first-order equations that are compatible with the equations of motion are obtained, and the stability under small fluctuations is investigated. We then include another set of scalar fields and study how it contributes to change the profile of the localized structure. We also study how these configurations modify the electric properties of a system with a single-point charge, with generalized electric permittivity controlled by scalar fields. In this new model, in particular, we show that depending on the specific modification of the electric properties of the medium, the electric field may engender the unusual behavior of pointing toward a positive charge.

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Acknowledgements

The work is supported by the Brazilian agencies Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES), grant No. 88882.440276/2019-01 (MP), by Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq), grants Nos. 404913/2018-0 (DB) and 303469/2019-6 (DB), and by Paraiba State Research Foundation (FAPESQ-PB) grant No. 0015/2019

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Authors and Affiliations

  1. Departamento de Física, Universidade Federal da Paraíba, 58051-970, João Pessoa, PB, Brazil

    D. Bazeia, M. A. Marques & M. Paganelly

  2. Departamento de Biotecnologia, Universidade Federal da Paraíba, 58051-900, João Pessoa, PB, Brazil

    M. A. Marques

Authors
  1. D. Bazeia
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  2. M. A. Marques
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  3. M. Paganelly
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Correspondence to D. Bazeia.

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Bazeia, D., Marques, M.A. & Paganelly, M. Novel way to construct spatially localized finite energy structures. Eur. Phys. J. Plus 136, 990 (2021). https://doi.org/10.1140/epjp/s13360-021-01953-4

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