一种定域洛伦兹规范协变的有挠时空引力理论

摘要

本文建立了一种符合定域洛伦兹规范协变的有挠时空引力理论。它是爱因斯坦引力理论在有挠时空中的推广，它是考虑了物质自旋的引力理论。它消除了爱因斯坦引力理论与狄拉克电子理论之间的矛盾。本文中新的引力理论自然地要求：应该存在一种新的独立的第五种力场-自旋场。本文表明：（1）符合定域洛伦茨规范协变的有挠时空引力理论包括引力场运动方程和自旋场运动方程；（2）引力场运动方程与爱因斯坦理论一样包含能量动量运动定律；（3）自旋场运动方程包含角动量运动方程；（4）本文建立的引力场理论一定程度上等价于一种特殊的爱因斯坦-嘉当理论，因此我们称之为爱因斯坦-嘉当-唐理论（ECT理论）。本文的对应于黎曼-嘉当几何的挠率张量分解为标架场的微分和自旋场；（5）真实的物理时空应该是由引力场（标架场）和自旋场（标架仿射联络）描述的有挠时空，其时空几何是黎曼-嘉当几何。本文中，挠率张量表征引力场场强，曲率张量表征自旋场场强。%In this paper, a gravitational field theory meeting the localized Lorentz gauge invariance in space-time with torsion has been established. It is the expansion of Einstein gravitational field theory in space-time with torsion, and is a gravitational field theory which considered the matter spin interaction. It eliminated the contradiction between Einstein gravitational theory and Dirac electron theory. The new gravitational field theory in this paper naturally require: There should be a new independent fifth force field-Spin field. This paper showed that: (1)The gravitational field theory meeting the Localized Lorentz gauge invariance in space-time with torsion included the gravitational field equations of motion and the spin field equations of motion; (2)The gravitational field equations of motion included the movement law of the energy-momentum,this is same as Einstein theory; (3)The spin field equations of motion included the movement law of the angular momentum; (4)The gravitational field theory obtained in this paper is equivalent to a special Einstein-Cartan gravitational field theory to a certain extent, so it is called Ein-stein-Cartan-Tang theory(ECT theory). In this article, the torsion tensor corresponded to Riemann-Car-tan geometry is composed of the derivative of vierbein field and spin field.(5)The real physical space-time should be the space-time with torsion described by the gravitational field(vierbein field) and spin field(vier-bein affine connection), its space-time geometry is the Riemann-Cartan geometry. In this paper, the tor-sion tensor indicates the gravitational field intensity, the curvature tensor indicates the spin field intensity.