Summary
Einstein’s standard matter-free theory of gravitation is constructed as the synthesis of two Yang-Mills theories, whose gauge groups areGL 4,R andSL 2,c. In this approach the vierbein is not regarded as a Yang-Mills field, but rather as a mapping between the two-group manifolds.
Riassunto
La teoria gravitazionale normale di Einstein in assenza di materia si costruisce come la sintesi di due teorie di Yang-Mills, i cui gruppi di gauge sonoGL 4, R eSL 2, c. In questo approccio il vierbein non è consideratocome un campo di Yang-Mills, ma piuttosto come una mappatura tra le molteplicità a due gruppi.
РЕжУМЕ
кОНстРУИРУЕтсь стАН ДАРтНАь тЕОРИь гРАВИтАцИИ ЁИНштЕИН А В ОтсУ тстВИИ ВЕЩЕст ВА, кАк сИНтЕж ДВУх тЕО РИИ ьНгА-МИллсА, гРУпп ы кАлИБРО сИНтЕж ДВУх тЕОРИИ ьН гА-МИллсА, гРУппы кАлИ БРОВкИ кОтОРь пРЕДст АВльУт GL4,R И SL2,c кОтОРь пРЕДстАВльУт GL4,R И SL2,c.
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Derbes, D. Poor man’s gravity. Nuov Cim B 45, 31–44 (1978). https://doi.org/10.1007/BF02904071
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DOI: https://doi.org/10.1007/BF02904071