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Type-D solutions of the Einstein and Born-Infeld nonlinear-electrodynamics equations

РещениеD типа уравнений нелинейной электродинамики Эйнщтейна и Борна-йнфельда

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Il Nuovo Cimento B (1971-1996)

Summary

All type-D solutions of the Einstein-Born-Infeld equations for an algebraically general nonlinear electromagnetic field aligned along the Debever-Penrose directions are determined. The most general classes of solutions are nonlinear electromagnetic generalizations of the NUT-\(\tilde B\)(+) and anti-NUT-\(\tilde B\)(−) metrics. Subfamilies of solutions are the generalized Reissner-Nordstrom and anti-Reissner-Nordstrom metrics. The most special solution in the Bertotti-Robinson metric interpreted from the viewpoint of nonlinear electrodynamics.

Riassunto

Tutte le equazioni di tipoD delle equazioni di Einstein-Born-Infeld per un campo elettromagnetico algebricamente generale non lineare allineato lungo le direzioni di Debever-Penrose sono determinate. Le classi piú generali i soluzioni sono generalizzazioni elettromagnetiche non lineari delle metriche NUT\(\tilde B\)(+) e dell’anti-NUT\(\tilde B\)(−). Sottofamiglie di soluzioni sono le metriche generalizzate di Reissner-Nordstrom e anti Reissner-Nordstrom. La soluizione piú speciale è la metrica di Bertotti-Robinson interpretata dal punto di vista dell’elettrodinamica non lineare.

Резюме

Определяются все решенияD типа уравнений Эйнштейна-Борна-Инфельда для алтебраически общего нелинейного электроматнитного поля, орнентированного вдоль направлений Дебевера-Пенроуза. Наиболее общие классы решений являются нелинейными электромагнтными обобщениями NUT-\(\tilde B\)(+) и анти-NUT-\(\tilde B\)(−) метрик. Подсемейства решений представляют обобщенные метрики Рейснера-Норстрема и анти-Рейснера-Нордстрема. Наиболее специальное решение представляет метрику Бертотти-Робинсона, которая интерпретируется с точки зрения нелинейной электродинамики.

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Author notes

  1. A. García D.

    Present address: Sección de Graduados, Escuela Superior de Ingeniería Mecánica y Eléctrica del LPN, Mexico, Mexico

  2. J. F. Plebański

    Present address: University of Warsaw, Warsaw, Poland

Authors and Affiliations

  1. Departmento de Física, Centro de Investigación y de Estudios Avanzados del IPN, Apartado Postal 14-740, 0700, México, D.F.

    A. García D., H. Salazar I. & J. F. Plebański

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  1. A. García D.
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  2. H. Salazar I.
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  3. J. F. Plebański
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García D., A., Salazar I., H. & Plebański, J.F. Type-D solutions of the Einstein and Born-Infeld nonlinear-electrodynamics equations. Nuov Cim B 84, 65–90 (1984). https://doi.org/10.1007/BF02721649

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