In gauge theories parallel transporters (PTs) U(C) along paths C play animportant role. Traditionally they are unitary or pseudoorthogonal maps betweenvector spaces. We propose to abandon unitarity of parallel transporters andwith it the a priori assumption of metricity in general relativity. A*-operation on parallel transporters serves as a substitute for it, and this*-operation is proven to be unique on group theoretical grounds. The vierbeinand the spin connection appear as distinguishable parts of a single de Sittergauge field with field strength F. The action takes the form $\frac{3}{16\piG\Lambda}\int tr(F \wedge F i \gamma_5)$ and both the Einstein field equationswith arbitrarily small but nonvanishing cosmological constant $\Lambda$ and thecondition of vanishing torsion are obtained from it. The equation of motion forclassical massive bodies turns out to be de Sitter covariant.
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机译：在规范理论中，沿路径C的并行传输器（PT）U（C）起着重要作用。传统上，它们是向量空间之间的unit直或伪正交映射。我们建议放弃并行传输器的统一性，并以此作为广义相对论中度量的先验假设。平行运输机上的A *运算替代了它，并且该*运算在组理论基础上被证明是唯一的。 vierbein和自旋连接显示为单个场强为F的de Sittergauge场的可区分部分。该动作的形式为$ \ frac {3} {16 \ piG \ Lambda} \ int tr（F \ wedge F i \ gamma_5）从中可以得到and和两个具有任意小的但不变的宇宙常数\ Lambda的爱因斯坦场方程和扭转消失的条件。经典质体的运动方程证明是de Sitter协变的。
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