Summary
A unified gauge field theory of gravitational and electromagnetic interactions is presented. The theory uses the product groupSL 2,c ⊗U 1 as the underlying gauge group similarly to the way the product groupSU 2⊗U 1 is employed as the underlying gauge group in the Weinberg-Salam model for weak and electromagnetic interactions. The field equations obtained are shown to be equivalent to the coupled Einstein-Maxwell equations.
Riassunto
Si presenta una teoria unificata di campo di gauge delle interazioni gravitazionali ed elettromagnetiche. La teoria usa il gruppo prodottoSL 2,c ⊗U 1 come gruppo fondamentale di gauge in modo simile a quello in cui il gruppo prodottoSU 2⊗U 1 è impiegato come gruppo fondamentale di gauge nel modello di Weinberg-Salam per le interazioni deboli ed elettromagnetiche. Si mostra che le equazioni di campo ottenute sono equivalenti alle equazioni accoppiate di Einstein-Maxwell.
Резюме
Предлагается единая калибровочно-полевая теория гравитационного и электромагнитного взаимодействий. Предложенная теория использует произведение группSL 2,c ⊗U 1, как основопологаюшую калибровочную группу, аналогично тому, как произведение группSU 2⊗U 1 служит основопологающей калибровочной группой в модели Вейнберга-Салама для слабого и электромагнитного взаимодействий. Показывается, что полученные уравнения поля эквивалентны связанным уравнениям Эйнштейна-Максвелла.
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Work supported in part by the Israel National Academy of Sciences, Grant No. 197 (B) P.
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Carmeli, M., Kaye, M. Unified gauge field model of gravitational and electromagnetic interactions. Nuov Cim B 34, 225–239 (1976). https://doi.org/10.1007/BF02728603
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DOI: https://doi.org/10.1007/BF02728603