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Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation

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Abstract

A Yang-Mills formulation of Einstein gravity with spin-affine connection as the dynamical variable of gravitational field is suggested based on the Stephenson-Kilmister-Yang (SKY) equation. A physically interesting property of the present formalism is that the Einstein field equation appears as a first-integral solution to the Yang-Mills type gravitational gauge field equation. The gravitational current density, the law of conservation and the gravitational gauge field strength in vierbein formulation are discussed. The present scheme could provide us with new insight into a possible way to include both Yang-Mills field and gravitational gauge field into one framework of generalized vierbein fields.

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Authors and Affiliations

  1. Centre for Optical and Electromagnetic Research, Zhejiang University, East Building No. 5, Zijingang Campus, Hangzhou, 310058, People’s Republic of China

    Jian Qi Shen

  2. Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Yuquan Campus, Hangzhou, 310027, People’s Republic of China

    Jian Qi Shen

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  1. Jian Qi Shen
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Correspondence to Jian Qi Shen.

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Shen, J.Q. Gravitational Gauge Theory Developed Based on the Stephenson-Kilmister-Yang Equation. Int J Theor Phys 48, 1566–1582 (2009). https://doi.org/10.1007/s10773-009-9929-9

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  • DOI: https://doi.org/10.1007/s10773-009-9929-9

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