NEW GEOMETRIC FORMALISM FOR GRAVITY EQUATION IN EMPTY SPACE

XIN-BING HUANG
2005 International Journal of Modern Physics D  
In this paper, a complex daor field which can be regarded as the square root of space-time metric is proposed to represent gravity. The locally complexified geometry is set up, and the complex spin connection constructs a bridge between gravity and SU(1,3) gauge field. Daor field equations in empty space are acquired, which are one-order differential equations and not conflict with Einstein's gravity theory.
doi:10.1142/s0218271805006572 fatcat:og5csnbaw5cxjax6mkchdgbgh4