Effective connections and fields associated with shear-free null congruences

A special subclass of shear-free null congruences (SFC) is studied, with tangent vector field being a repeated principal null direction of the Weyl tensor. We demonstrate that this field is parallel with respect to an effective affine connection which contains the Weyl nonmetricity and the skew symmetric torsion. On the other hand, a Maxwell-like field can be directly associated with any special SFC, and the electric charge for bounded singularities of this field turns to be "self-quantized." Two invariant differential operators are introduced which can be thought of as spinor analogues of the Beltrami operators and both nullify the principal spinor of any special SFC.

Авторы
Редакторы
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Сборник материалов конференции
Издательство
-
Номер выпуска
7
Язык
Английский
Страницы
1603-1612
Статус
Опубликовано
Подразделение
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Ссылка
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Номер
-
Том
36
Год
2004
Организации
  • 1 Department of General Physics, Peoples' Friendship Univ. of Russia, Ordjonikidze 3, 117419, Moscow, Russian Federation
Ключевые слова
Invariant spinor operators; Maxwell equations; Quantization of electric charge; Shear-free congruences; Weyl-Cartan connections
Дата создания
19.10.2018
Дата изменения
19.10.2018
Постоянная ссылка
https://repository.rudn.ru/ru/records/article/record/3619/